2x^2+32x-64=0

Simple and best practice solution for 2x^2+32x-64=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2x^2+32x-64=0 equation:


Simplifying
2x2 + 32x + -64 = 0

Reorder the terms:
-64 + 32x + 2x2 = 0

Solving
-64 + 32x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-32 + 16x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-32 + 16x + x2)' equal to zero and attempt to solve: Simplifying -32 + 16x + x2 = 0 Solving -32 + 16x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '32' to each side of the equation. -32 + 16x + 32 + x2 = 0 + 32 Reorder the terms: -32 + 32 + 16x + x2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 16x + x2 = 0 + 32 16x + x2 = 0 + 32 Combine like terms: 0 + 32 = 32 16x + x2 = 32 The x term is 16x. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16x + 64 + x2 = 32 + 64 Reorder the terms: 64 + 16x + x2 = 32 + 64 Combine like terms: 32 + 64 = 96 64 + 16x + x2 = 96 Factor a perfect square on the left side: (x + 8)(x + 8) = 96 Calculate the square root of the right side: 9.797958971 Break this problem into two subproblems by setting (x + 8) equal to 9.797958971 and -9.797958971.

Subproblem 1

x + 8 = 9.797958971 Simplifying x + 8 = 9.797958971 Reorder the terms: 8 + x = 9.797958971 Solving 8 + x = 9.797958971 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 9.797958971 + -8 Combine like terms: 8 + -8 = 0 0 + x = 9.797958971 + -8 x = 9.797958971 + -8 Combine like terms: 9.797958971 + -8 = 1.797958971 x = 1.797958971 Simplifying x = 1.797958971

Subproblem 2

x + 8 = -9.797958971 Simplifying x + 8 = -9.797958971 Reorder the terms: 8 + x = -9.797958971 Solving 8 + x = -9.797958971 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = -9.797958971 + -8 Combine like terms: 8 + -8 = 0 0 + x = -9.797958971 + -8 x = -9.797958971 + -8 Combine like terms: -9.797958971 + -8 = -17.797958971 x = -17.797958971 Simplifying x = -17.797958971

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.797958971, -17.797958971}

Solution

x = {1.797958971, -17.797958971}

See similar equations:

| 25x^2+29x+9=0 | | (2a^4-a)+(a^4+4a+4)=0 | | 2x(3y)z+(-5y)(2z)(-10x)-xyz=a | | 12-f=-25 | | 12a-(-9)=23 | | 44=2w^2-3w | | x-7x-3x-8x= | | 2x^2-5xy-3-y^2=0 | | a-24=16 | | 12f^3+30f^2+14f+35=0 | | 0.33x+6=21 | | 135=-5x-5(2x-3) | | 0=-2x-5(-x+3) | | .4(x-5)=3x+1 | | 4t^2-6t-4=0 | | -24m^2n-6mn= | | 12-10[6-2(-4)]=0 | | 4q^2+18q+20=0 | | -31+(-28)-(14)-18= | | 0=-2x-5(-x+15) | | 2q^2-44q-46=0 | | 7f^2+84f+77=0 | | 5x+32=65 | | (3-4i)(5-6i)= | | 5x^2+0x-125=0 | | 4x^3+5x^2-9x-18=0 | | -0.10(10)+0.25x=0.05(x-12) | | x+2i=4-yi | | 2i+i^2= | | x-15x+36= | | 4w=-5w-36 | | 25m^2+35m+10=0 |

Equations solver categories