m^2=-4(4m+15)

Solution for m^2=-4(4m+15) equation:

Simplifying
m2 = -4(4m + 15)

Reorder the terms:
m2 = -4(15 + 4m)
m2 = (15 * -4 + 4m * -4)
m2 = (-60 + -16m)

Solving
m2 = -60 + -16m

Solving for variable 'm'.

Reorder the terms:
60 + 16m + m2 = -60 + -16m + 60 + 16m

Reorder the terms:
60 + 16m + m2 = -60 + 60 + -16m + 16m

Combine like terms: -60 + 60 = 0
60 + 16m + m2 = 0 + -16m + 16m
60 + 16m + m2 = -16m + 16m

Combine like terms: -16m + 16m = 0
60 + 16m + m2 = 0

Factor a trinomial.
(10 + m)(6 + m) = 0

Subproblem 1
Set the factor '(10 + m)' equal to zero and attempt to solve:

Simplifying
10 + m = 0

Solving
10 + m = 0

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

Add '-10' to each side of the equation.
10 + -10 + m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + m = 0 + -10
m = 0 + -10

Combine like terms: 0 + -10 = -10
m = -10

Simplifying
m = -10
Subproblem 2
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 0

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

Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6

Combine like terms: 0 + -6 = -6
m = -6

Simplifying
m = -6
Solution
m = {-10, -6}