3m^2-11m=20

Solution for 3m^2-11m=20 equation:

Simplifying
3m2 + -11m = 20

Reorder the terms:
-11m + 3m2 = 20

Solving
-11m + 3m2 = 20

Solving for variable 'm'.

Reorder the terms:
-20 + -11m + 3m2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -11m + 3m2 = 0

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

Subproblem 1
Set the factor '(-4 + -3m)' equal to zero and attempt to solve:

Simplifying
-4 + -3m = 0

Solving
-4 + -3m = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3m = 0 + 4
-3m = 0 + 4

Combine like terms: 0 + 4 = 4
-3m = 4

Divide each side by '-3'.
m = -1.333333333

Simplifying
m = -1.333333333
Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 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 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {-1.333333333, 5}