5m^2+28m=-15

Solution for 5m^2+28m=-15 equation:

Simplifying
5m2 + 28m = -15

Reorder the terms:
28m + 5m2 = -15

Solving
28m + 5m2 = -15

Solving for variable 'm'.

Reorder the terms:
15 + 28m + 5m2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + 28m + 5m2 = 0

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

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

Simplifying
5 + m = 0

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

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

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

Simplifying
m = -5
Subproblem 2
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
Solution
m = {-5, -0.6}