m^2=-9m

Solution for m^2=-9m equation:

Simplifying
m2 = -9m

Solving
m2 = -9m

Solving for variable 'm'.

Reorder the terms:
9m + m2 = -9m + 9m

Combine like terms: -9m + 9m = 0
9m + m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(9 + 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 '(9 + m)' equal to zero and attempt to solve:

Simplifying
9 + m = 0

Solving
9 + m = 0

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

Add '-9' to each side of the equation.
9 + -9 + m = 0 + -9

Combine like terms: 9 + -9 = 0
0 + m = 0 + -9
m = 0 + -9

Combine like terms: 0 + -9 = -9
m = -9

Simplifying
m = -9
Solution
m = {0, -9}