(x+6)x(x-6)=

Solution for (x+6)x(x-6)= equation:

Simplifying
(x + 6) * x(x + -6) = 0

Reorder the terms:
(6 + x) * x(x + -6) = 0

Reorder the terms:
(6 + x) * x(-6 + x) = 0

Reorder the terms for easier multiplication:
x(6 + x)(-6 + x) = 0

Multiply (6 + x) * (-6 + x)
x(6(-6 + x) + x(-6 + x)) = 0
x((-6 * 6 + x * 6) + x(-6 + x)) = 0
x((-36 + 6x) + x(-6 + x)) = 0
x(-36 + 6x + (-6 * x + x * x)) = 0
x(-36 + 6x + (-6x + x2)) = 0

Combine like terms: 6x + -6x = 0
x(-36 + 0 + x2) = 0
x(-36 + x2) = 0
(-36 * x + x2 * x) = 0
(-36x + x3) = 0

Solving
-36x + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-36 + x2) = 0

Factor a difference between two squares.
x((6 + x)(-6 + 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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 3
Set the factor '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Simplifying
x = 6
Solution
x = {0, -6, 6}