x^2+12x+36=144

Solution for x^2+12x+36=144 equation:

Simplifying
x2 + 12x + 36 = 144

Reorder the terms:
36 + 12x + x2 = 144

Solving
36 + 12x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
36 + -144 + 12x + x2 = 144 + -144

Combine like terms: 36 + -144 = -108
-108 + 12x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-108 + 12x + x2 = 0

Factor a trinomial.
(-18 + -1x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve:

Simplifying
-18 + -1x = 0

Solving
-18 + -1x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 0 + 18
-1x = 0 + 18

Combine like terms: 0 + 18 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 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 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-18, 6}