15m(m+2)=2m-5

Solution for 15m(m+2)=2m-5 equation:

Simplifying
15m(m + 2) = 2m + -5

Reorder the terms:
15m(2 + m) = 2m + -5
(2 * 15m + m * 15m) = 2m + -5
(30m + 15m2) = 2m + -5

Reorder the terms:
30m + 15m2 = -5 + 2m

Solving
30m + 15m2 = -5 + 2m

Solving for variable 'm'.

Reorder the terms:
5 + 30m + -2m + 15m2 = -5 + 2m + 5 + -2m

Combine like terms: 30m + -2m = 28m
5 + 28m + 15m2 = -5 + 2m + 5 + -2m

Reorder the terms:
5 + 28m + 15m2 = -5 + 5 + 2m + -2m

Combine like terms: -5 + 5 = 0
5 + 28m + 15m2 = 0 + 2m + -2m
5 + 28m + 15m2 = 2m + -2m

Combine like terms: 2m + -2m = 0
5 + 28m + 15m2 = 0

Factor a trinomial.
(5 + 3m)(1 + 5m) = 0

Subproblem 1
Set the factor '(5 + 3m)' equal to zero and attempt to solve:

Simplifying
5 + 3m = 0

Solving
5 + 3m = 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 + 3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3m = 0 + -5
3m = 0 + -5

Combine like terms: 0 + -5 = -5
3m = -5

Divide each side by '3'.
m = -1.666666667

Simplifying
m = -1.666666667
Subproblem 2
Set the factor '(1 + 5m)' equal to zero and attempt to solve:

Simplifying
1 + 5m = 0

Solving
1 + 5m = 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 + 5m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5m = 0 + -1
5m = 0 + -1

Combine like terms: 0 + -1 = -1
5m = -1

Divide each side by '5'.
m = -0.2

Simplifying
m = -0.2
Solution
m = {-1.666666667, -0.2}