5m^2+6m=0

Solution for 5m^2+6m=0 equation:

Simplifying
5m2 + 6m = 0

Reorder the terms:
6m + 5m2 = 0

Solving
6m + 5m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(6 + 5m) = 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 '(6 + 5m)' equal to zero and attempt to solve:

Simplifying
6 + 5m = 0

Solving
6 + 5m = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5m = 0 + -6
5m = 0 + -6

Combine like terms: 0 + -6 = -6
5m = -6

Divide each side by '5'.
m = -1.2

Simplifying
m = -1.2
Solution
m = {0, -1.2}