2m^2+15m+22=0

Solution for 2m^2+15m+22=0 equation:

Simplifying
2m2 + 15m + 22 = 0

Reorder the terms:
22 + 15m + 2m2 = 0

Solving
22 + 15m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(11 + 2m)(2 + m) = 0

Subproblem 1
Set the factor '(11 + 2m)' equal to zero and attempt to solve:

Simplifying
11 + 2m = 0

Solving
11 + 2m = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2m = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2m = 0 + -11
2m = 0 + -11

Combine like terms: 0 + -11 = -11
2m = -11

Divide each side by '2'.
m = -5.5

Simplifying
m = -5.5
Subproblem 2
Set the factor '(2 + m)' equal to zero and attempt to solve:

Simplifying
2 + m = 0

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

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

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

Simplifying
m = -2
Solution
m = {-5.5, -2}