x(x-8)(x+8)=

Solution for x(x-8)(x+8)= equation:

Simplifying
x(x + -8)(x + 8) = 0

Reorder the terms:
x(-8 + x)(x + 8) = 0

Reorder the terms:
x(-8 + x)(8 + x) = 0

Multiply (-8 + x) * (8 + x)
x(-8(8 + x) + x(8 + x)) = 0
x((8 * -8 + x * -8) + x(8 + x)) = 0
x((-64 + -8x) + x(8 + x)) = 0
x(-64 + -8x + (8 * x + x * x)) = 0
x(-64 + -8x + (8x + x2)) = 0

Combine like terms: -8x + 8x = 0
x(-64 + 0 + x2) = 0
x(-64 + x2) = 0
(-64 * x + x2 * x) = 0
(-64x + x3) = 0

Solving
-64x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-64 + x2) = 0

Factor a difference between two squares.
x((8 + 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
Subproblem 3
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, 8}