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The discriminant of a quadratic is the expression inside the radical of the quadratic formula.706698931 b) 2. If the fraction or mixed number is only part of the calculation then omit clicking equals and continue with
Example: 4x+2=2x+12 Example (Click to try) 4x+2=2x+12 How to solve your equation. Differentiation.1 Factoring 6x2-4x+9. Starting at $5. The solver will then show you the steps to help you learn how to solve it on your own. The middle term is, -4x its coefficient is -4 . Frequently Asked Questions (FAQ) How do you find the root? To find the roots factor the function, set each facotor to zero, and solve. Step 3. x^2-x-2. Isolate to the left side of the equation.625. Earlier we factored this polynomial by splitting the middle term. a) 3. For chemistry, calculus, algebra, trigonometry, equation solving, basic math and more. Tap for more steps (2x−3)2 = 0 ( 2 x - 3) 2 = 0 Set the 2x−3 2 x - 3 equal to 0 0.706698931 c) 3. Find the standard form of the hyperbola.1. Limits. \bold{=} + Go.0000 + 4.
Transcribed Image Text: Find the approximated value of x till 6 iterations for x³-4x+9=0 using Bisection Method.
Find the Center and Radius x^2+y^2-x-6y+9=0. Using Bisection method find the root of 3x 2 = 5x+2 in the interval [0,3]. Equation at the end of step 2 : (4x + 9) • (8 - x) = 0 Step 3 : Theory - Roots of a product : 3.
Quadratic equation The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side. Step 4: Write the LHS as the square of a binomial. Now, expand the square formula: m = a ( x 2 + y 2 + 2 h x) + K., < > ≤: ≥ ^ √: ⬅: : F _ ÷ | (* / ⌫ A: ↻: x: y = +-G
Calculate it! Examples: 1+2 , 1/3+1/4 , 2^3 * 2^2. Substitute the values a = 1 a = 1, b = −11 b = - 11, and c = 18
Solve for x.0000 - 4. Since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like: (x+1) (x+4)
The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation). Parabola, Finding the Vertex : 4.0000 - 1. Add to both sides of the equation. Frequently Asked Questions (FAQ) What are the solutions to the equation 4x^2+9=0 ?
Latasha has 5/10 of a sheet of stickers her mother gives her 3/10 of sheet stickers what fraction of a sheet does she have now? A 9/10 B4/5 C1/2.35, 0. Interchange the variables. Next, divide each side by 2 to get x= 5 . x4 − 9 = 0 x 4 - 9 = 0. x4 − 8x2 − 9 = 0 x 4 - 8 x 2 - 9 = 0. Get step-by-step answers and hints for your math homework problems. Add 4 to both sides of the equation : On the right hand side we have : 9 + 4 or, (9/1)+ (4/1)
Question 3 What are the approximate solutions of 7x^(2)+4x-9=0 ? -0. Just like numbers have factors (2×3=6), expressions have factors ((x+2)(x+3)=x^2+5x+6). (x2)2 −9 = 0 ( x 2) 2 - 9 = 0.75, or a fraction of the form 7/4 or a mixed number of the form 1 3/4 to the decimal 1. Unlock.00/month.citemhtirA . 3Y = 4X - 9. In order to complete the square, the equation must first be in the form x^{2}+bx=c. Enter a problem
Find the positive root of the equation x3 - 4x + 9 = 0 using Regula Falsi method and correct to 4 decimal places. 4x2 − 9 = 0 4 x 2 - 9 = 0. View solution steps. let us now solve the equation by Completing The Square and by using the Quadratic Formula. Rewrite 9 9 as 32 3 2. Integration.903125. Substitute the values a = 5 a = 5, b = −4 b = - 4, and c = −9 c = - 9 into the quadratic formula and solve for x x.00. Select two x x values, and plug them into the equation to find the corresponding y y values. This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Completing the Square B. Use the quadratic formula to find the solutions. Step 3: Add that number to both sides x2 + 4x + 4 = 7 +4.5: 318: 8. Free math problem solver answers your algebra
Detailed step by step solution for y^2+2y-4x+9=0. 4x 4 = 9 4 4 x 4 = 9 4. Example 04: Solve the equation $ 2x^3 - 4x^2 - 3x + 6 = 0 $. Limits. Step 6: solve for x to get 2 values. Zero Product Property C.
Example 9. At x= 3. Step 6: solve for x to get 2 values. Step-1 : Multiply the coefficient of the first term by the constant 6 • 9 = 54.88 This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Step 2: Use (b 2)2 to determine the value that completes the square. x = -4/6 = -2/3.179: 4′0″ x 9′6″ 27: 324: 8. 2x2 − 4x − 9 = 0 2 x 2 - 4 x - 9 = 0. Simultaneous equation. Message received. To solve a cubic equation, the best strategy is to guess one of three roots. -2+sqrt14/2i B. ⇔ (2x)2 −2 × 3 × 3x +32 = 0.1 Factoring 3x2-4x-9. A quadratic equation has at most two solutions. Differentiation. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. The notation for a closed interval is typically of the form [a,b], where a and b are the endpoints of the interval. Supplement : Solving Quadratic Equation Directly Solving 4x 2 +13x+9 = 0 directly . Multiply both sides of the equation by (-1) to obtain positive coefficient for the first term: 2x 2 +4x-9 = 0 Divide both sides of the equation by 2 to have 1 as the coefficient of the first term :
Solve Using the Quadratic Formula 5x^2-4x-9=0.1 A product of several terms equals zero.85 -1. Add 9/7 to both side of the equation : x2+ (4/7)x = 9/7. Supplement : Solving Quadratic Equation Directly Solving 4x 2 +5x-9 = 0 directly . Note: These questions are very lengthy when we solve them by regular method, but in the exam, to save time we can use the elimination technique for …
Solve by Completing the Square x^2-4x-9=0. Use this form to determine the values used to find vertices and asymptotes of the hyperbola. Tap for more steps Step 1. Use the quadratic formula to find the solutions.2. (b 2)2 = (−2)2 ( b 2) 2 = ( - 2) 2. The first term is, 3x2 its coefficient is 3 .3.500 Step by step solution : Step 1 :Equation at the end of step 1 : 22x2 - 9 = 0 Step 2 :Trying to factor as a 14x2-9=0 Two solutions were found : x = ±√ 0. vertex focus directrix y2+2y+4x+9= 0 (x,y)= ( (x,y)= ( Sketch its graph. Tap for more steps Step 1.1.75. Tap for more steps x = 9 4 x = 9 4.Free math problem solver answers your algebra homework questions with step-by-step explanations.a 2 )c a ( 4 - 2 b ± b - a2 )ca(4− 2b√±b− .; Dig deeper into specific steps Our solver does what a calculator won't: breaking down key steps
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Find the positive root of the equation x 3 – 4x + 9 = 0 using Regula Falsi method and correct to 4 decimal places. Hence 4x2 − 12x +9 = 0.
Two numbers r and s sum up to -1 exactly when the average of the two numbers is \frac{1}{2}*-1 = -\frac{1}{2}.
(x + 4) (x - 9) = 0 A.
Solve Using the Quadratic Formula 4x^2-9x-9=0. For example, y = x^ {2} - 4x + 4 y = x2 − 4x + 4 is a quadratic function.1. x=\frac{9}{4} x=-3 .0=9-x4+2^x alumroF citardauQ eht gnisU evloS
:41 = b ereH . Simultaneous equation.
Solve Using the Quadratic Formula 4x^2-9x-9=0. To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b b. In this case b = −4 so, ( −4 2)2 = ( −2)2 = +4. If you want to know how to change the vertex to standard form, let's start! Write an equation in vertex form: m = a ( x - h) 2 + K. 3Y - 4X + 9 = 0.250.
Symbolab is the best derivative calculator, solving first derivatives, second derivatives, higher order derivatives, derivative at a point, partial derivatives, implicit derivatives, derivatives using definition, and more. Multiply the inner side or bracket: a x 2 + a y 2 + 2 a h x
x²-4x+9=0 can be solved in a variety of ways; the first two that come to mind that are also appropriate are (1) completing the square and (2) using the quadratic formula. When a product of two or more terms equals zero, then at least one of the terms must be zero. Explanation: Given: 4x2+9 =0 Note that
Algebra Solve Using the Quadratic Formula 4x^2-9=0 4x2 − 9 = 0 4 x 2 - 9 = 0 Use the quadratic formula to find the solutions.rtgq iivdf vvcuhs ahq wjx lxp knn rlpr dzg mcunq xle wmzogg qtqk xgkgu tndhvq
Add 4/49 to both sides of the equation 3x2-4x-9=0 Two solutions were found : x = (4-√124)/6= (2-√ 31 )/3= -1. Integration. To solve your equation using the Equation Solver, type in your equation like x+4=5.95).32,0. Step 1: Guess one root.1. x2 − 9 = 0 x 2 - 9 = 0. Simplify the left side. Click the card to flip 👆 Which technique is most appropriate to use to solve the equation? 4x^2 = 20 A.2 Solving x2-4x+9 = 0 by Completing The Square . Also to change a fraction of the form 3/4 to the decimal 0. See More Examples » x+3=5 1/3 + 1/4 y=x^2+1 Solve an equation, inequality or a system. Subtract 9/2 from both side of the equation : x2-2x = -9/2. Gien the parabola. You may speak with a member of our customer support team by calling 1-800-876-1799. In this case b = −4 so, ( −4 2)2 = ( −2)2 = +4.1. 2. Step 3. Solve for x 4x=9.076698931 d) no positive roots View Answer.706698931 b) 2. Tap for more steps Step 1. Move all terms not containing to the right side of the equation.; Learn from detailed step-by-step explanations Get walked through each step of the solution to know exactly what path gets you to the right answer. Frequently Asked Questions (FAQ) What are the solutions to the equation 2x^2+4x+9=0 ? Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step To factor a binomial, write it as the sum or difference of two squares or as the difference of two cubes.523 Step by step solution : Step 1 :Equation at the end of step 1 : (3x2 - 4x) - 9 = 0 3x2-4x=6x-3 Two solutions were found : x = 1/3 = 0.1 Factoring 3x2-4x-9. Subtract from both sides of the equation. Solve Quadratic Equation by Completing The Square. Add 9 9 to both sides of the equation. Add 4/49 to both sides of the equation 3x2-4x-9=0 Two solutions were found : x = (4-√124)/6= (2-√ 31 )/3= -1.616 x = (14+√232)/2=7+√ 58 = 14. Add the term to each side of the equation. 4x2+4x-9 = 0 Divide both sides of the equation by 4 to have 1 as the coefficient of the first term : x2+x- (9/4) = 0. In Chapter 5 we studied linear equations in one and two variables and methods for solving them.3 = 0 using Bisection Method in the interval [1,5].2 Solving 2x2-4x+9 = 0 by Completing The Square . Since both terms are perfect squares, factor using the difference of squares formula, a2 −b2 = (a+b)(a−b) a 2 - b 2 = ( a + b) ( a - b) where a = x2 a = x 2 and b Solving 5x 2-4x-9 = 0 directly . Get … The values of x that satisfy the equation are called solutions of the equation, and roots or zeros of the expression on its left-hand side. The function is F (x) = x3 - 4x - 9. Click here 👆 to get an answer to your question ️ What are the solutions of the quadratic equation? 4x^2 -9x-9=0. 4x2 = 9 4 x 2 = 9.snoitulos pets-yb-pets htiw revlos htam eerf ruo gnisu smelborp htam ruoy evloS stimiL noitargetnI noitaitnereffiD noitauqe suoenatlumiS xirtaM citemhtirA noitauqe raeniL . Subtract 9 from both side of the equation : x2+4x = -9. (b 2)2 = (−2)2 ( b 2) 2 = ( - 2) 2. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a.00 F (x) is equal to 6. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a Substitute the values a = 4 a = 4, b = 0 b = 0, and c = −9 c = - 9 into the quadratic formula and solve for x x.3 Solve : 4x+9 = 0 Subtract 9 from both sides of the equation : 4x = -9 Divide both sides of the equation by 4: x = -9/4 = -2. en. Vì cả hai số hạng đều là số chính phương, nên ta phân tích thành thừa số bằng Find zeros of a quadratic function by Completing the square.1. -1+sqtr14/2i C. This is the form of a hyperbola. Steps Using Factoring By Grouping. Step-2 : Find two factors of -27 whose sum equals the coefficient of the middle term, which is -4 . The vertex form calculator can convert vertex form to the standard form of a parabola. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Tap for more steps x2 − 5x−36 x 2 - 5 x - 36.5,0. Example: Solve x2 +4x −7 = 0. 2.1 Find the Vertex of y = 5x 2-4x-9 4′0″ x 9′0″ 26: 312: 7. 2x−3 = 0 2 x - 3 = 0 Solve for x x. End of Conversation Answer: For getting proper understanding we have to follow following steps. Learn the basics, check your work, gain insight on different ways to solve problems. −b±√b2 −4(ac) 2a - b ± b 2 - 4 ( a c) 2 a. Tap for more steps x2 − 4x = −9 4 x 2 - 4 x = - 9 4.2. 9±√(−9)2 −4 ⋅(4⋅−9) 2⋅ Understand the how and why See how to tackle your equations and why to use a particular method to solve it — making it easier for you to learn. Rewrite x4 x 4 as (x2)2 ( x 2) 2. Now the clever bit: Take the coefficient of x , which is 4 , divide by two, giving 2 , and finally square it giving 4. −4±√42 −4⋅ (1⋅−9) 2⋅1 - 4 ± 4 2 How do you find the discriminant and how many and what type of solutions does 4x2 + 9 = 0 have? Δ = b2 −4ac = −144<0 and hence this quadratic has a complex conjugate pair of non-Real roots.spetS noituloS . Para determinar la pendiente y el punto de corte (ordenada al origen) debemos escribir la ecuación lineal de la forma:. Steps for Completing the Square. Example: 2x-1=y,2y+3=x. Solve your math problems using our free math solver with step-by-step solutions. 4±√(−4)2 −4 ⋅(2⋅−9) 2⋅ Patrick H. In this example, subtract 46 to move it to the right side of the equation. a) 3. Multiply together to get 4. 9±√(−9)2 −4 ⋅(4⋅−9) 2⋅ Understand the how and why See how to tackle your equations and why to use a particular method to solve it — making it easier for you to learn. Substitute the values a = 1 a = 1, b = 4 b = 4, and c = −9 c = - 9 into the quadratic formula and solve for x x. Free math problem solver El valor de la pendiente es 4/3 y la ordenada al origen es -3. 4x^{2}+3x-27=0 . Subtract 9 9 from both sides of the equation. Intuitively we feel, and justly so, that since F (x) is negative on one side of the interval, and positive on the A closed interval notation is a way of representing a set of numbers that includes all the numbers in the interval between two given numbers. Add 9/7 to both side of the equation : x2+ (4/7)x = 9/7. Simplify (x+4) (x-9) (x + 4) (x − 9) ( x + 4) ( x - 9) Expand (x+4)(x− 9) ( x + 4) ( x - 9) using the FOIL Method. (x2)2 −8x2 − 9 = 0 ( x 2) 2 - 8 x 2 - 9 = 0. Steps roots\:2x^{2}+4x-6 ; Show More; Description. x2 + 4x − 9 = 0 x 2 + 4 x - 9 = 0. Step 2. The solver will then show you the steps to help you learn how to solve it on your own. Solution: Step 1: Add or subtract the constant term to obtain the equation in the form x2 + bx = c. Tap for more steps 16x2 − 81 16 x 2 - 81.800 Step by step solution : Step 1 :Equation at the end of step 1 : (5x2 - 4x) - 9 = 0 Step 2 :Trying to factor by splitting the x2-14x-9=0 Two solutions were found : x = (14-√232)/2=7-√ 58 = -0. d/dx [3x^2 + 4x + 9] = 0. Δ = b2 –4ac =(3)2 –4(1)(8) = 9 +32 = 41.1 = 2/3 = x : dnuof erew snoitulos owT 0=9-2x4 .250. Divide each term in 4x = 9 4 x = 9 by 4 4.2 Solving x2+4x+9 = 0 by Completing The Square . If you are factoring a quadratic like x^2+5x+4 you want to find two numbers that. (x2)2 −9 = 0 ( x 2) 2 - 9 = 0. The root of equation x 3 - 4x - 9 = 0 using the bisection method is. 5x2 − 4x − 9 = 0 5 x 2 - 4 x - 9 = 0. 4x^{2}+12x+9-9=-9 . f(C 4) = 2. Divide both sides of the equation by 4 to have 1 as the coefficient of the first term : x 2 +3x+(9/4) = 0 Subtract 9/4 from both side of the equation : x 2 +3x = -9/4 Now the clever bit: Take the coefficient of x , which is 3 , divide by two, giving 3/2 , and finally square it giving 9/4 Root 2 at {x,y} = {-3.5 no solution -1. As an example let's … 0.; Learn from detailed step-by-step explanations Get walked through each step of the solution to know exactly what path gets you to the right answer. Take half of that, obtaining -2 Solve Quadratic Equation by Completing The Square.925: 4′0″ x 9′1″ 26. A and D.0000 + 1. In this example, subtract 46 to move it to the right side of the equation. Now the clever bit: Take the coefficient of x , which is 4/7 , divide by two, giving 2/7 , and finally square it giving 4/49. Divide both sides of the equation by 4 to have 1 as the coefficient of the first term : x2-4x- (9/4) = 0. Tap Algebra. 4x 4 = 9 4 4 x 4 = 9 4. Find the value of using the formula. Step 1. Factor.67 - 9 ≈ 0 The root of given equation is 2. Subtract 9 from both side of the equation : x2-4x = -9.703125 -1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. To solve the equation for different variables step-by-step clear any fractions by multiplying both sides of the equation by the LCM of the denominators. Step-1 : Multiply the coefficient of the first term by the constant 3 • -9 = -27. Substitute u u for all occurrences of x2 x 2. Tap for more steps Step 2. Click here 👆 to get an answer to your question ️ what is one root of this equation 2x^2-4x+9=0? A. Add 4 to both sides of the equation : On the right hand side we have : Solve Using the Quadratic Formula 4x^2-9=0. 2x^{2}+4x-9=0 Quadratic equations such as this one can be solved by completing the square. Now the clever bit: Take the coefficient of x , which is 4 , divide by two, giving 2 , and finally square it giving 4.8708 i x= 0. Divide each term in 4x = 9 4 x = 9 by 4 4. Solve your math problems using our free math solver with step-by-step solutions. Detailed step by step solution for 4x^2+9=0.3. Hence, the critical point of the given function is x = -2/3 2. 22 = 4. This is the same as factoring out the value of a from all other terms. Y = mX + b. Expert Solution. Simplify the left side. Add 9/4 to both side of the equation : x2-4x = 9/4. Complete the square for . How to factor expressions. Step by step solution : Step 1 : Pulling out like terms : 1. 2. Substitute the values a = 4 a = 4, b = −9 b = - 9, and c = −9 c = - 9 into the quadratic formula and solve for x x. Tap for more steps x⋅x+x⋅ −9+4x+4⋅−9 x ⋅ x + x ⋅ - 9 + 4 x + 4 ⋅ - 9. The first term is, 6x2 its coefficient is 6 . 3. Online math solver with free step by step solutions to algebra, calculus, and other math problems. Add 4 to both sides of the equation : On the right hand side we have : Solve Quadratic Equation by Completing The Square. is as follows; View the full answer Step 2. Step 3: complete the square by adding ( b 2)2 to both sides. Step 3. x = + √9 4 or x = − √9 4. Integration. Find roots of any function step-by-step. Now the clever bit: Take the coefficient of x , which is 2 , divide by two Step 1: Make a = 1 (a is already equal to 1 ) Step 2: Move the constant to the other side. or (2x −3)2 = 0. Solve Using the Quadratic Formula x^2-9=0. The good candidates for solutions are factors of the last coefficient in the equation.00. 4x^{2}+12x+9=0 . To use the direct factoring method, the equation must be in the form x^2+Bx+C=0. Tap for more steps Step 1. 1.0 = 9 - 4 x 0 = 9 − 4x .625.643 = ± 0. (x+1) (x+2) (Simplify Example), 2x^2+2y @ x=5, y=3 (Evaluate Example) y=x^2+1 (Graph Example), 4x+2=2 (x+6) (Solve Example) Algebra Calculator is a … 4x+9=-3 One solution was found : x = -3 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 4x^2+20x+16: 3: Graph: y=-x^2: 4: Evaluate: 2+2: 5: Factor: x^2-25: 6: Factor: x^2+5x+6: 7: Factor: x^2-9: 8: Factor: x^3-8: 9: Evaluate: square root of 12: 10: Evaluate: … Solve your math problems using our free math solver with step-by-step solutions.; Dig deeper into specific steps Our solver does what a calculator … 2. Factor using the rational roots test. 4x2 − 9 = 0 4 x 2 - 9 = 0. Completing the square is fast here: Rewrite x²-4x+9=0 as x²-4x +9=0. Frequently Asked Questions (FAQ) What are the solutions to the equation 2x^2-4x+9=0 ? Graph x^2+4x-y^2-6y+9=0. let us now solve the equation by Completing The Square and by using the Quadratic Formula. Step 2.500 x = -3/2 = -1. Factor. Rewrite the equation as . The middle term is, -4x its coefficient is -4 . 2x-3=9-x One solution was found : x = 4 Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 2x-3x=9 One solution was found : x = -9 Rearrange: Rearrange the d/dx [3x^2 + 4x + 9] = d/dx [3x^2] + d/dx [4x] + d/dx [9] d/dx [3x^2 + 4x + 9] = 6x + 4 + 0. In this notation, the numbers at the endpoints of the interval are included in the set. 4x2 − 16x = −9 4 x 2 - 16 x = - 9. Solve your math problems using our free math solver with step-by-step solutions. Solution: Step 1: Add or subtract the constant term to obtain the equation in the form x2 + bx = c. 像这样具有 x^{2} 项但不具有 x 项的二次方程式仍然可以使用二次公式 \frac{-b±\sqrt{b^{2}-4ac}}{2a} 求解，只要将其转换为标准形式 ax^{2}+bx+c=0 即可。 Solve 4x^2+12x+9 | Microsoft Math Solver. 1+sqrt1… Find the Roots (Zeros) x^4-4x^3-2x^2+12x+9=0. Use the quadratic formula to find the solutions. Matrix. Take a = -3 and b = -2. Solving Equations Video Lessons Phone support is available Monday-Friday, 9:00AM-10:00PM ET. Tap for more steps Step 3. 0±√02 −4⋅(1 ⋅−9) 2⋅1 0 ± 0 2 - 4 ⋅ 4. Solve by completing the square: x2 + 14x + 46 = 0. Simultaneous equation.076698931 d) no positive roots View Answer.00 F (x) is equal to -9.. 1: 2: 3: 4: 5: 6: 7: 8: 9: 0.333 x = 3 Rearrange: Rearrange the equation by subtracting what is to the right of the Free quadratic equation factoring calculator - Solve quadratic equations using factoring step-by-step.00/month. The middle term is, -4x its coefficient is -4 . Δ = b2 -4ac =(3)2 -4(1)(8) = 9 +32 = 41 Algebra.67: 320: 8. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. x2 − 4x − 9 = 0 x 2 - 4 x - 9 = 0.230: 4′0″ x 9′7″ 27. Substitute the values a = 4 a = 4, b = −9 b = - 9, and c = −9 c = - 9 into the quadratic formula and solve for x x. Step 2: Click the blue arrow to submit and see the result! The equation solver allows you to enter your problem and solve the equation to see the result. Get step-by-step answers and hints for your math homework problems. Tap for more steps Step 1. (x2)2 −32 = 0 ( x 2) 2 - 3 2 = 0. Add the term to each side of the equation. Step-2 : Find two factors of -27 whose sum equals the coefficient of the middle term, which is -4 . All equations of the form ax^{2}+bx+c=0 can be solved using the quadratic formula: \frac{-b±\sqrt{b^{2}-4ac}}{2a}.