2m^2+9m=-9

Solution for 2m^2+9m=-9 equation:

Simplifying
2m2 + 9m = -9

Reorder the terms:
9m + 2m2 = -9

Solving
9m + 2m2 = -9

Solving for variable 'm'.

Reorder the terms:
9 + 9m + 2m2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 9m + 2m2 = 0

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

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

Simplifying
3 + m = 0

Solving
3 + m = 0

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

Add '-3' to each side of the equation.
3 + -3 + m = 0 + -3

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

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

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

Simplifying
3 + 2m = 0

Solving
3 + 2m = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2m = 0 + -3

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

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

Divide each side by '2'.
m = -1.5

Simplifying
m = -1.5
Solution
m = {-3, -1.5}