8m(m+3)=2m-5

Solution for 8m(m+3)=2m-5 equation:

Simplifying
8m(m + 3) = 2m + -5

Reorder the terms:
8m(3 + m) = 2m + -5
(3 * 8m + m * 8m) = 2m + -5
(24m + 8m2) = 2m + -5

Reorder the terms:
24m + 8m2 = -5 + 2m

Solving
24m + 8m2 = -5 + 2m

Solving for variable 'm'.

Reorder the terms:
5 + 24m + -2m + 8m2 = -5 + 2m + 5 + -2m

Combine like terms: 24m + -2m = 22m
5 + 22m + 8m2 = -5 + 2m + 5 + -2m

Reorder the terms:
5 + 22m + 8m2 = -5 + 5 + 2m + -2m

Combine like terms: -5 + 5 = 0
5 + 22m + 8m2 = 0 + 2m + -2m
5 + 22m + 8m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
5 + 22m + 8m2 = 0

Factor a trinomial.
(5 + 2m)(1 + 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 '(1 + 4m)' equal to zero and attempt to solve:

Simplifying
1 + 4m = 0

Solving
1 + 4m = 0

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

Add '-1' to each side of the equation.
1 + -1 + 4m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4m = 0 + -1
4m = 0 + -1

Combine like terms: 0 + -1 = -1
4m = -1

Divide each side by '4'.
m = -0.25

Simplifying
m = -0.25
Solution
m = {-2.5, -0.25}