k^2+12k=-35

Solution for k^2+12k=-35 equation:

Simplifying
k2 + 12k = -35

Reorder the terms:
12k + k2 = -35

Solving
12k + k2 = -35

Solving for variable 'k'.

Reorder the terms:
35 + 12k + k2 = -35 + 35

Combine like terms: -35 + 35 = 0
35 + 12k + k2 = 0

Factor a trinomial.
(7 + k)(5 + k) = 0

Subproblem 1
Set the factor '(7 + k)' equal to zero and attempt to solve:

Simplifying
7 + k = 0

Solving
7 + k = 0

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

Add '-7' to each side of the equation.
7 + -7 + k = 0 + -7

Combine like terms: 7 + -7 = 0
0 + k = 0 + -7
k = 0 + -7

Combine like terms: 0 + -7 = -7
k = -7

Simplifying
k = -7
Subproblem 2
Set the factor '(5 + k)' equal to zero and attempt to solve:

Simplifying
5 + k = 0

Solving
5 + k = 0

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

Add '-5' to each side of the equation.
5 + -5 + k = 0 + -5

Combine like terms: 5 + -5 = 0
0 + k = 0 + -5
k = 0 + -5

Combine like terms: 0 + -5 = -5
k = -5

Simplifying
k = -5
Solution
k = {-7, -5}