m^2=-12m

Solution for m^2=-12m equation:

Simplifying
m2 = -12m

Solving
m2 = -12m

Solving for variable 'm'.

Reorder the terms:
12m + m2 = -12m + 12m

Combine like terms: -12m + 12m = 0
12m + m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(12 + m) = 0

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

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(12 + m)' equal to zero and attempt to solve:

Simplifying
12 + m = 0

Solving
12 + m = 0

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

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

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

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

Simplifying
m = -12
Solution
m = {0, -12}