2m^2+31m+15=0

Solution for 2m^2+31m+15=0 equation:

Simplifying
2m2 + 31m + 15 = 0

Reorder the terms:
15 + 31m + 2m2 = 0

Solving
15 + 31m + 2m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(15 + m)' equal to zero and attempt to solve:

Simplifying
15 + m = 0

Solving
15 + m = 0

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

Add '-15' to each side of the equation.
15 + -15 + m = 0 + -15

Combine like terms: 15 + -15 = 0
0 + m = 0 + -15
m = 0 + -15

Combine like terms: 0 + -15 = -15
m = -15

Simplifying
m = -15
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 = {-15, -0.5}