k^2+12k=-36

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

Simplifying
k2 + 12k = -36

Reorder the terms:
12k + k2 = -36

Solving
12k + k2 = -36

Solving for variable 'k'.

Reorder the terms:
36 + 12k + k2 = -36 + 36

Combine like terms: -36 + 36 = 0
36 + 12k + k2 = 0

Factor a trinomial.
(6 + k)(6 + k) = 0

Subproblem 1
Set the factor '(6 + k)' equal to zero and attempt to solve:

Simplifying
6 + k = 0

Solving
6 + k = 0

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

Add '-6' to each side of the equation.
6 + -6 + k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + k = 0 + -6
k = 0 + -6

Combine like terms: 0 + -6 = -6
k = -6

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

Simplifying
6 + k = 0

Solving
6 + k = 0

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

Add '-6' to each side of the equation.
6 + -6 + k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + k = 0 + -6
k = 0 + -6

Combine like terms: 0 + -6 = -6
k = -6

Simplifying
k = -6
Solution
k = {-6, -6}