3m^2-11m-60=0

Solution for 3m^2-11m-60=0 equation:

Simplifying
3m2 + -11m + -60 = 0

Reorder the terms:
-60 + -11m + 3m2 = 0

Solving
-60 + -11m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -1m)(20 + -3m) = 0

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

Simplifying
-3 + -1m = 0

Solving
-3 + -1m = 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 + -1m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1m = 0 + 3
-1m = 0 + 3

Combine like terms: 0 + 3 = 3
-1m = 3

Divide each side by '-1'.
m = -3

Simplifying
m = -3
Subproblem 2
Set the factor '(20 + -3m)' equal to zero and attempt to solve:

Simplifying
20 + -3m = 0

Solving
20 + -3m = 0

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

Add '-20' to each side of the equation.
20 + -20 + -3m = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -3m = 0 + -20
-3m = 0 + -20

Combine like terms: 0 + -20 = -20
-3m = -20

Divide each side by '-3'.
m = 6.666666667

Simplifying
m = 6.666666667
Solution
m = {-3, 6.666666667}