2m^2+4m=-2

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

Simplifying
2m2 + 4m = -2

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

Solving
4m + 2m2 = -2

Solving for variable 'm'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 2m + m2) = 0

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

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

Simplifying
1 + m = 0

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

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

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

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

Simplifying
1 + m = 0

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

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

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

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