(x+12)(x+6)=0

Solution for (x+12)(x+6)=0 equation:

Simplifying
(x + 12)(x + 6) = 0

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

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

Multiply (12 + x) * (6 + x)
(12(6 + x) + x(6 + x)) = 0
((6 * 12 + x * 12) + x(6 + x)) = 0
((72 + 12x) + x(6 + x)) = 0
(72 + 12x + (6 * x + x * x)) = 0
(72 + 12x + (6x + x2)) = 0

Combine like terms: 12x + 6x = 18x
(72 + 18x + x2) = 0

Solving
72 + 18x + x2 = 0

Solving for variable 'x'.

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

Subproblem 1
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
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 = {-12, -6}