-6m^2+17m-12=0

Solution for -6m^2+17m-12=0 equation:

Simplifying
-6m2 + 17m + -12 = 0

Reorder the terms:
-12 + 17m + -6m2 = 0

Solving
-12 + 17m + -6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + 2m)(4 + -3m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -3m)' equal to zero and attempt to solve:

Simplifying
4 + -3m = 0

Solving
4 + -3m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3m = 0 + -4
-3m = 0 + -4

Combine like terms: 0 + -4 = -4
-3m = -4

Divide each side by '-3'.
m = 1.333333333

Simplifying
m = 1.333333333
Solution
m = {1.5, 1.333333333}