60m^2-47m-30=0

Solution for 60m^2-47m-30=0 equation:

Simplifying
60m2 + -47m + -30 = 0

Reorder the terms:
-30 + -47m + 60m2 = 0

Solving
-30 + -47m + 60m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + -12m)(6 + -5m) = 0

Subproblem 1
Set the factor '(-5 + -12m)' equal to zero and attempt to solve:

Simplifying
-5 + -12m = 0

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

Combine like terms: -5 + 5 = 0
0 + -12m = 0 + 5
-12m = 0 + 5

Combine like terms: 0 + 5 = 5
-12m = 5

Divide each side by '-12'.
m = -0.4166666667

Simplifying
m = -0.4166666667
Subproblem 2
Set the factor '(6 + -5m)' equal to zero and attempt to solve:

Simplifying
6 + -5m = 0

Solving
6 + -5m = 0

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

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

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

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

Divide each side by '-5'.
m = 1.2

Simplifying
m = 1.2
Solution
m = {-0.4166666667, 1.2}