3(x+2)3(x+6)=

Solution for 3(x+2)3(x+6)= equation:

Simplifying
3(x + 2) * 3(x + 6) = 0

Reorder the terms:
3(2 + x) * 3(x + 6) = 0

Reorder the terms:
3(2 + x) * 3(6 + x) = 0

Reorder the terms for easier multiplication:
3 * 3(2 + x)(6 + x) = 0

Multiply 3 * 3
9(2 + x)(6 + x) = 0

Multiply (2 + x) * (6 + x)
9(2(6 + x) + x(6 + x)) = 0
9((6 * 2 + x * 2) + x(6 + x)) = 0
9((12 + 2x) + x(6 + x)) = 0
9(12 + 2x + (6 * x + x * x)) = 0
9(12 + 2x + (6x + x2)) = 0

Combine like terms: 2x + 6x = 8x
9(12 + 8x + x2) = 0
(12 * 9 + 8x * 9 + x2 * 9) = 0
(108 + 72x + 9x2) = 0

Solving
108 + 72x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(12 + 8x + x2) = 0

Factor a trinomial.
9((6 + x)(2 + x)) = 0

Ignore the factor 9.
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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-6, -2}