2m^2-28m=30

Solution for 2m^2-28m=30 equation:

Simplifying
2m2 + -28m = 30

Reorder the terms:
-28m + 2m2 = 30

Solving
-28m + 2m2 = 30

Solving for variable 'm'.

Reorder the terms:
-30 + -28m + 2m2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -28m + 2m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -14m + m2) = 0

Factor a trinomial.
2((-1 + -1m)(15 + -1m)) = 0

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

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

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

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

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

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

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

Simplifying
m = -1
Subproblem 2
Set the factor '(15 + -1m)' equal to zero and attempt to solve:

Simplifying
15 + -1m = 0

Solving
15 + -1m = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1m = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1m = 0 + -15
-1m = 0 + -15

Combine like terms: 0 + -15 = -15
-1m = -15

Divide each side by '-1'.
m = 15

Simplifying
m = 15
Solution
m = {-1, 15}