6m^2-5m-6=0

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

Simplifying
6m2 + -5m + -6 = 0

Reorder the terms:
-6 + -5m + 6m2 = 0

Solving
-6 + -5m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-2 + -3m)(3 + -2m) = 0

Subproblem 1
Set the factor '(-2 + -3m)' equal to zero and attempt to solve:

Simplifying
-2 + -3m = 0

Solving
-2 + -3m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -3m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3m = 0 + 2
-3m = 0 + 2

Combine like terms: 0 + 2 = 2
-3m = 2

Divide each side by '-3'.
m = -0.6666666667

Simplifying
m = -0.6666666667
Subproblem 2
Set the factor '(3 + -2m)' equal to zero and attempt to solve:

Simplifying
3 + -2m = 0

Solving
3 + -2m = 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 + -2m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = 0 + -3
-2m = 0 + -3

Combine like terms: 0 + -3 = -3
-2m = -3

Divide each side by '-2'.
m = 1.5

Simplifying
m = 1.5
Solution
m = {-0.6666666667, 1.5}