k^2+13k+12=

Solution for k^2+13k+12= equation:

Simplifying
k2 + 13k + 12 = 0

Reorder the terms:
12 + 13k + k2 = 0

Solving
12 + 13k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(12 + k)(1 + k) = 0

Subproblem 1
Set the factor '(12 + k)' equal to zero and attempt to solve:

Simplifying
12 + k = 0

Solving
12 + k = 0

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

Add '-12' to each side of the equation.
12 + -12 + k = 0 + -12

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

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

Simplifying
k = -12
Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve:

Simplifying
1 + k = 0

Solving
1 + k = 0

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

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

Combine like terms: 1 + -1 = 0
0 + k = 0 + -1
k = 0 + -1

Combine like terms: 0 + -1 = -1
k = -1

Simplifying
k = -1
Solution
k = {-12, -1}