m^2=-2m

Solution for m^2=-2m equation:

Simplifying
m2 = -2m

Solving
m2 = -2m

Solving for variable 'm'.

Reorder the terms:
2m + m2 = -2m + 2m

Combine like terms: -2m + 2m = 0
2m + m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(2 + 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 '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

Solving
2 + m = 0

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

Add '-2' to each side of the equation.
2 + -2 + m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + m = 0 + -2
m = 0 + -2

Combine like terms: 0 + -2 = -2
m = -2

Simplifying
m = -2
Solution
m = {0, -2}