8m(m+4)=6m-15

Solution for 8m(m+4)=6m-15 equation:

Simplifying
8m(m + 4) = 6m + -15

Reorder the terms:
8m(4 + m) = 6m + -15
(4 * 8m + m * 8m) = 6m + -15
(32m + 8m2) = 6m + -15

Reorder the terms:
32m + 8m2 = -15 + 6m

Solving
32m + 8m2 = -15 + 6m

Solving for variable 'm'.

Reorder the terms:
15 + 32m + -6m + 8m2 = -15 + 6m + 15 + -6m

Combine like terms: 32m + -6m = 26m
15 + 26m + 8m2 = -15 + 6m + 15 + -6m

Reorder the terms:
15 + 26m + 8m2 = -15 + 15 + 6m + -6m

Combine like terms: -15 + 15 = 0
15 + 26m + 8m2 = 0 + 6m + -6m
15 + 26m + 8m2 = 6m + -6m

Combine like terms: 6m + -6m = 0
15 + 26m + 8m2 = 0

Factor a trinomial.
(5 + 2m)(3 + 4m) = 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 '(3 + 4m)' equal to zero and attempt to solve:

Simplifying
3 + 4m = 0

Solving
3 + 4m = 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 + 4m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4m = 0 + -3
4m = 0 + -3

Combine like terms: 0 + -3 = -3
4m = -3

Divide each side by '4'.
m = -0.75

Simplifying
m = -0.75
Solution
m = {-2.5, -0.75}