k^2+12k+k=0

Solution for k^2+12k+k=0 equation:

Simplifying
k2 + 12k + k = 0

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

Combine like terms: 12k + k = 13k
13k + k2 = 0

Solving
13k + k2 = 0

Solving for variable 'k'.

Factor out the Greatest Common Factor (GCF), 'k'.
k(13 + k) = 0

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(13 + k)' equal to zero and attempt to solve:

Simplifying
13 + k = 0

Solving
13 + k = 0

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

Add '-13' to each side of the equation.
13 + -13 + k = 0 + -13

Combine like terms: 13 + -13 = 0
0 + k = 0 + -13
k = 0 + -13

Combine like terms: 0 + -13 = -13
k = -13

Simplifying
k = -13
Solution
k = {0, -13}