2m^2-20m=2m-60

Solution for 2m^2-20m=2m-60 equation:

Simplifying
2m2 + -20m = 2m + -60

Reorder the terms:
-20m + 2m2 = 2m + -60

Reorder the terms:
-20m + 2m2 = -60 + 2m

Solving
-20m + 2m2 = -60 + 2m

Solving for variable 'm'.

Reorder the terms:
60 + -20m + -2m + 2m2 = -60 + 2m + 60 + -2m

Combine like terms: -20m + -2m = -22m
60 + -22m + 2m2 = -60 + 2m + 60 + -2m

Reorder the terms:
60 + -22m + 2m2 = -60 + 60 + 2m + -2m

Combine like terms: -60 + 60 = 0
60 + -22m + 2m2 = 0 + 2m + -2m
60 + -22m + 2m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
60 + -22m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + -11m + m2) = 0

Factor a trinomial.
2((5 + -1m)(6 + -1m)) = 0

Ignore the factor 2.
Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1m)' equal to zero and attempt to solve:

Simplifying
6 + -1m = 0

Solving
6 + -1m = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1m = 0 + -6
-1m = 0 + -6

Combine like terms: 0 + -6 = -6
-1m = -6

Divide each side by '-1'.
m = 6

Simplifying
m = 6
Solution
m = {5, 6}