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

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

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

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

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

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

Combine like terms: 6x + 6x = 12x
2(36 + 12x + x2) = 0
(36 * 2 + 12x * 2 + x2 * 2) = 0
(72 + 24x + 2x2) = 0

Solving
72 + 24x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + 12x + x2) = 0

Factor a trinomial.
2((6 + x)(6 + x)) = 0

Ignore the factor 2.
Subproblem 1
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 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
Solution
x = {-6, -6}