4m^2-4m-15=0

Solution for 4m^2-4m-15=0 equation:

Simplifying
4m2 + -4m + -15 = 0

Reorder the terms:
-15 + -4m + 4m2 = 0

Solving
-15 + -4m + 4m2 = 0

Solving for variable 'm'.

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

Subproblem 1
Set the factor '(-3 + -2m)' equal to zero and attempt to solve:

Simplifying
-3 + -2m = 0

Solving
-3 + -2m = 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 + -2m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2m = 0 + 3
-2m = 0 + 3

Combine like terms: 0 + 3 = 3
-2m = 3

Divide each side by '-2'.
m = -1.5

Simplifying
m = -1.5
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 = {-1.5, 2.5}