6m^2-5m-144=0

Solution for 6m^2-5m-144=0 equation:

Simplifying
6m2 + -5m + -144 = 0

Reorder the terms:
-144 + -5m + 6m2 = 0

Solving
-144 + -5m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-9 + -2m)(16 + -3m) = 0

Subproblem 1
Set the factor '(-9 + -2m)' equal to zero and attempt to solve:

Simplifying
-9 + -2m = 0

Solving
-9 + -2m = 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 + -2m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -2m = 0 + 9
-2m = 0 + 9

Combine like terms: 0 + 9 = 9
-2m = 9

Divide each side by '-2'.
m = -4.5

Simplifying
m = -4.5
Subproblem 2
Set the factor '(16 + -3m)' equal to zero and attempt to solve:

Simplifying
16 + -3m = 0

Solving
16 + -3m = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3m = 0 + -16
-3m = 0 + -16

Combine like terms: 0 + -16 = -16
-3m = -16

Divide each side by '-3'.
m = 5.333333333

Simplifying
m = 5.333333333
Solution
m = {-4.5, 5.333333333}