x^2-8x-32=-32

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Solution for x^2-8x-32=-32 equation:


Simplifying
x2 + -8x + -32 = -32

Reorder the terms:
-32 + -8x + x2 = -32

Add '32' to each side of the equation.
-32 + -8x + 32 + x2 = -32 + 32

Reorder the terms:
-32 + 32 + -8x + x2 = -32 + 32

Combine like terms: -32 + 32 = 0
0 + -8x + x2 = -32 + 32
-8x + x2 = -32 + 32

Combine like terms: -32 + 32 = 0
-8x + x2 = 0

Solving
-8x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 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 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8

Solution

x = {0, 8}

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