30m^2-91m-30=0

Solution for 30m^2-91m-30=0 equation:

Simplifying
30m2 + -91m + -30 = 0

Reorder the terms:
-30 + -91m + 30m2 = 0

Solving
-30 + -91m + 30m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -10m)(10 + -3m) = 0

Subproblem 1
Set the factor '(-3 + -10m)' equal to zero and attempt to solve:

Simplifying
-3 + -10m = 0

Solving
-3 + -10m = 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 + -10m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -10m = 0 + 3
-10m = 0 + 3

Combine like terms: 0 + 3 = 3
-10m = 3

Divide each side by '-10'.
m = -0.3

Simplifying
m = -0.3
Subproblem 2
Set the factor '(10 + -3m)' equal to zero and attempt to solve:

Simplifying
10 + -3m = 0

Solving
10 + -3m = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3m = 0 + -10
-3m = 0 + -10

Combine like terms: 0 + -10 = -10
-3m = -10

Divide each side by '-3'.
m = 3.333333333

Simplifying
m = 3.333333333
Solution
m = {-0.3, 3.333333333}