-6m^2-13m+15=0

Solution for -6m^2-13m+15=0 equation:

Simplifying
-6m2 + -13m + 15 = 0

Reorder the terms:
15 + -13m + -6m2 = 0

Solving
15 + -13m + -6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(5 + -6m)(3 + m) = 0

Subproblem 1
Set the factor '(5 + -6m)' equal to zero and attempt to solve:

Simplifying
5 + -6m = 0

Solving
5 + -6m = 0

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

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

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

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

Divide each side by '-6'.
m = 0.8333333333

Simplifying
m = 0.8333333333
Subproblem 2
Set the factor '(3 + m)' equal to zero and attempt to solve:

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + m = 0 + -3
m = 0 + -3

Combine like terms: 0 + -3 = -3
m = -3

Simplifying
m = -3
Solution
m = {0.8333333333, -3}