(x-6)(x-6)(3)=108

Solution for (x-6)(x-6)(3)=108 equation:

Simplifying
(x + -6)(x + -6)(3) = 108

Reorder the terms:
(-6 + x)(x + -6)(3) = 108

Reorder the terms:
(-6 + x)(-6 + x)(3) = 108

Reorder the terms for easier multiplication:
3(-6 + x)(-6 + x) = 108

Multiply (-6 + x) * (-6 + x)
3(-6(-6 + x) + x(-6 + x)) = 108
3((-6 * -6 + x * -6) + x(-6 + x)) = 108
3((36 + -6x) + x(-6 + x)) = 108
3(36 + -6x + (-6 * x + x * x)) = 108
3(36 + -6x + (-6x + x2)) = 108

Combine like terms: -6x + -6x = -12x
3(36 + -12x + x2) = 108
(36 * 3 + -12x * 3 + x2 * 3) = 108
(108 + -36x + 3x2) = 108

Add '-108' to each side of the equation.
108 + -36x + -108 + 3x2 = 108 + -108

Reorder the terms:
108 + -108 + -36x + 3x2 = 108 + -108

Combine like terms: 108 + -108 = 0
0 + -36x + 3x2 = 108 + -108
-36x + 3x2 = 108 + -108

Combine like terms: 108 + -108 = 0
-36x + 3x2 = 0

Solving
-36x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-12 + x) = 0

Ignore the factor 3.
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 '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x = 0 + 12
x = 0 + 12

Combine like terms: 0 + 12 = 12
x = 12

Simplifying
x = 12
Solution
x = {0, 12}