2m^2+2m=4

Solution for 2m^2+2m=4 equation:

Simplifying
2m2 + 2m = 4

Reorder the terms:
2m + 2m2 = 4

Solving
2m + 2m2 = 4

Solving for variable 'm'.

Reorder the terms:
-4 + 2m + 2m2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 2m + 2m2 = 0

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

Factor a trinomial.
2((-2 + -1m)(1 + -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 '(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
Solution
m = {-2, 1}