4m^2+5m=-2m^2-2-2m

Solution for 4m^2+5m=-2m^2-2-2m equation:

Simplifying
4m2 + 5m = -2m2 + -2 + -2m

Reorder the terms:
5m + 4m2 = -2m2 + -2 + -2m

Reorder the terms:
5m + 4m2 = -2 + -2m + -2m2

Solving
5m + 4m2 = -2 + -2m + -2m2

Solving for variable 'm'.

Reorder the terms:
2 + 5m + 2m + 4m2 + 2m2 = -2 + -2m + -2m2 + 2 + 2m + 2m2

Combine like terms: 5m + 2m = 7m
2 + 7m + 4m2 + 2m2 = -2 + -2m + -2m2 + 2 + 2m + 2m2

Combine like terms: 4m2 + 2m2 = 6m2
2 + 7m + 6m2 = -2 + -2m + -2m2 + 2 + 2m + 2m2

Reorder the terms:
2 + 7m + 6m2 = -2 + 2 + -2m + 2m + -2m2 + 2m2

Combine like terms: -2 + 2 = 0
2 + 7m + 6m2 = 0 + -2m + 2m + -2m2 + 2m2
2 + 7m + 6m2 = -2m + 2m + -2m2 + 2m2

Combine like terms: -2m + 2m = 0
2 + 7m + 6m2 = 0 + -2m2 + 2m2
2 + 7m + 6m2 = -2m2 + 2m2

Combine like terms: -2m2 + 2m2 = 0
2 + 7m + 6m2 = 0

Factor a trinomial.
(2 + 3m)(1 + 2m) = 0

Subproblem 1
Set the factor '(2 + 3m)' equal to zero and attempt to solve:

Simplifying
2 + 3m = 0

Solving
2 + 3m = 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 + 3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3m = 0 + -2
3m = 0 + -2

Combine like terms: 0 + -2 = -2
3m = -2

Divide each side by '3'.
m = -0.6666666667

Simplifying
m = -0.6666666667
Subproblem 2
Set the factor '(1 + 2m)' equal to zero and attempt to solve:

Simplifying
1 + 2m = 0

Solving
1 + 2m = 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 + 2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2m = 0 + -1
2m = 0 + -1

Combine like terms: 0 + -1 = -1
2m = -1

Divide each side by '2'.
m = -0.5

Simplifying
m = -0.5
Solution
m = {-0.6666666667, -0.5}