2x(x+6)(x-6)=0

Solution for 2x(x+6)(x-6)=0 equation:

Simplifying
2x(x + 6)(x + -6) = 0

Reorder the terms:
2x(6 + x)(x + -6) = 0

Reorder the terms:
2x(6 + x)(-6 + x) = 0

Multiply (6 + x) * (-6 + x)
2x(6(-6 + x) + x(-6 + x)) = 0
2x((-6 * 6 + x * 6) + x(-6 + x)) = 0
2x((-36 + 6x) + x(-6 + x)) = 0
2x(-36 + 6x + (-6 * x + x * x)) = 0
2x(-36 + 6x + (-6x + x2)) = 0

Combine like terms: 6x + -6x = 0
2x(-36 + 0 + x2) = 0
2x(-36 + x2) = 0
(-36 * 2x + x2 * 2x) = 0
(-72x + 2x3) = 0

Solving
-72x + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-36 + x2) = 0

Factor a difference between two squares.
2x((6 + x)(-6 + x)) = 0

Ignore the factor 2.
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}