15m^2-16m-15=

Solution for 15m^2-16m-15= equation:

Simplifying
15m2 + -16m + -15 = 0

Reorder the terms:
-15 + -16m + 15m2 = 0

Solving
-15 + -16m + 15m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(-3 + -5m)' equal to zero and attempt to solve:

Simplifying
-3 + -5m = 0

Solving
-3 + -5m = 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 + -5m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5m = 0 + 3
-5m = 0 + 3

Combine like terms: 0 + 3 = 3
-5m = 3

Divide each side by '-5'.
m = -0.6

Simplifying
m = -0.6
Subproblem 2
Set the factor '(5 + -3m)' equal to zero and attempt to solve:

Simplifying
5 + -3m = 0

Solving
5 + -3m = 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 + -3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3m = 0 + -5
-3m = 0 + -5

Combine like terms: 0 + -5 = -5
-3m = -5

Divide each side by '-3'.
m = 1.666666667

Simplifying
m = 1.666666667
Solution
m = {-0.6, 1.666666667}