k^2=-12k

Solution for k^2=-12k equation:

Simplifying
k2 = -12k

Solving
k2 = -12k

Solving for variable 'k'.

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

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

Factor out the Greatest Common Factor (GCF), 'k'.
k(12 + 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 '(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
Solution
k = {0, -12}