-36=x^2+12x

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

Simplifying
-36 = x2 + 12x

Reorder the terms:
-36 = 12x + x2

Solving
-36 = 12x + x2

Solving for variable 'x'.

Reorder the terms:
-36 + -12x + -1x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
-36 + -12x + -1x2 = 0 + x2 + -1x2
-36 + -12x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-36 + -12x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(36 + 12x + x2) = 0

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

Ignore the factor -1.
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}