20m^2+65m=60

Solution for 20m^2+65m=60 equation:

Simplifying
20m2 + 65m = 60

Reorder the terms:
65m + 20m2 = 60

Solving
65m + 20m2 = 60

Solving for variable 'm'.

Reorder the terms:
-60 + 65m + 20m2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 65m + 20m2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-12 + 13m + 4m2) = 0

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

Ignore the factor 5.
Subproblem 1
Set the factor '(-4 + -1m)' equal to zero and attempt to solve:

Simplifying
-4 + -1m = 0

Solving
-4 + -1m = 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 + -1m = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1m = 0 + 4
-1m = 0 + 4

Combine like terms: 0 + 4 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4
Subproblem 2
Set the factor '(3 + -4m)' equal to zero and attempt to solve:

Simplifying
3 + -4m = 0

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

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

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

Divide each side by '-4'.
m = 0.75

Simplifying
m = 0.75
Solution
m = {-4, 0.75}