2m^2-3m-15=5

Solution for 2m^2-3m-15=5 equation:

Simplifying
2m2 + -3m + -15 = 5

Reorder the terms:
-15 + -3m + 2m2 = 5

Solving
-15 + -3m + 2m2 = 5

Solving for variable 'm'.

Reorder the terms:
-15 + -5 + -3m + 2m2 = 5 + -5

Combine like terms: -15 + -5 = -20
-20 + -3m + 2m2 = 5 + -5

Combine like terms: 5 + -5 = 0
-20 + -3m + 2m2 = 0

Factor a trinomial.
(-5 + -2m)(4 + -1m) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {-2.5, 4}