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

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

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

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

Combine like terms: 36x + 36x = 72x
(36 + 72x + 36x2) = 0

Solving
36 + 72x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '36'.
36(1 + 2x + x2) = 0

Factor a trinomial.
36((1 + x)(1 + x)) = 0

Ignore the factor 36.
Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-1, -1}