12m^2-17m-5=

Solution for 12m^2-17m-5= equation:

Simplifying
12m2 + -17m + -5 = 0

Reorder the terms:
-5 + -17m + 12m2 = 0

Solving
-5 + -17m + 12m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -4m)(5 + -3m) = 0

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

Simplifying
-1 + -4m = 0

Solving
-1 + -4m = 0

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

Add '1' to each side of the equation.
-1 + 1 + -4m = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4m = 0 + 1
-4m = 0 + 1

Combine like terms: 0 + 1 = 1
-4m = 1

Divide each side by '-4'.
m = -0.25

Simplifying
m = -0.25
Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve:

Simplifying
5 + -3m = 0

Solving
5 + -3m = 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 + -3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3m = 0 + -5
-3m = 0 + -5

Combine like terms: 0 + -5 = -5
-3m = -5

Divide each side by '-3'.
m = 1.666666667

Simplifying
m = 1.666666667
Solution
m = {-0.25, 1.666666667}