3m^2-4m-20=0

Solution for 3m^2-4m-20=0 equation:

Simplifying
3m2 + -4m + -20 = 0

Reorder the terms:
-20 + -4m + 3m2 = 0

Solving
-20 + -4m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-2 + -1m)(10 + -3m) = 0

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

Simplifying
-2 + -1m = 0

Solving
-2 + -1m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1m = 0 + 2
-1m = 0 + 2

Combine like terms: 0 + 2 = 2
-1m = 2

Divide each side by '-1'.
m = -2

Simplifying
m = -2
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 = {-2, 3.333333333}