0=2m^2-m-15

Solution for 0=2m^2-m-15 equation:

Simplifying
0 = 2m2 + -1m + -15

Reorder the terms:
0 = -15 + -1m + 2m2

Solving
0 = -15 + -1m + 2m2

Solving for variable 'm'.

Combine like terms: 0 + 15 = 15
15 + m + -2m2 = -15 + -1m + 2m2 + 15 + m + -2m2

Reorder the terms:
15 + m + -2m2 = -15 + 15 + -1m + m + 2m2 + -2m2

Combine like terms: -15 + 15 = 0
15 + m + -2m2 = 0 + -1m + m + 2m2 + -2m2
15 + m + -2m2 = -1m + m + 2m2 + -2m2

Combine like terms: -1m + m = 0
15 + m + -2m2 = 0 + 2m2 + -2m2
15 + m + -2m2 = 2m2 + -2m2

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

Factor a trinomial.
(3 + -1m)(5 + 2m) = 0

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

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Subproblem 2
Set the factor '(5 + 2m)' equal to zero and attempt to solve:

Simplifying
5 + 2m = 0

Solving
5 + 2m = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2m = 0 + -5
2m = 0 + -5

Combine like terms: 0 + -5 = -5
2m = -5

Divide each side by '2'.
m = -2.5

Simplifying
m = -2.5
Solution
m = {3, -2.5}