2m^2+11m+9=0

Solution for 2m^2+11m+9=0 equation:

Simplifying
2m2 + 11m + 9 = 0

Reorder the terms:
9 + 11m + 2m2 = 0

Solving
9 + 11m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(9 + 2m)(1 + m) = 0

Subproblem 1
Set the factor '(9 + 2m)' equal to zero and attempt to solve:

Simplifying
9 + 2m = 0

Solving
9 + 2m = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2m = 0 + -9

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

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

Divide each side by '2'.
m = -4.5

Simplifying
m = -4.5
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 = {-4.5, -1}