m^2=-m

Solution for m^2=-m equation:

Simplifying
m2 = -1m

Solving
m2 = -1m

Solving for variable 'm'.

Reorder the terms:
m + m2 = -1m + m

Combine like terms: -1m + m = 0
m + m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(1 + 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 '(1 + m)' equal to zero and attempt to solve:

Simplifying
1 + m = 0

Solving
1 + m = 0

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

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

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

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

Simplifying
m = -1
Solution
m = {0, -1}