2m^2-14m=-20

Solution for 2m^2-14m=-20 equation:

Simplifying
2m2 + -14m = -20

Reorder the terms:
-14m + 2m2 = -20

Solving
-14m + 2m2 = -20

Solving for variable 'm'.

Reorder the terms:
20 + -14m + 2m2 = -20 + 20

Combine like terms: -20 + 20 = 0
20 + -14m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -7m + m2) = 0

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

Ignore the factor 2.
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 '(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 = {2, 5}