m^2+13m+0=0

Solution for m^2+13m+0=0 equation:

Simplifying
m2 + 13m + 0 = 0

Reorder the terms:
0 + 13m + m2 = 0
Remove the zero:
13m + m2 = 0

Solving
13m + m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(13 + 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 '(13 + m)' equal to zero and attempt to solve:

Simplifying
13 + m = 0

Solving
13 + m = 0

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

Add '-13' to each side of the equation.
13 + -13 + m = 0 + -13

Combine like terms: 13 + -13 = 0
0 + m = 0 + -13
m = 0 + -13

Combine like terms: 0 + -13 = -13
m = -13

Simplifying
m = -13
Solution
m = {0, -13}