15m(m+2)=m-12

Solution for 15m(m+2)=m-12 equation:

Simplifying
15m(m + 2) = m + -12

Reorder the terms:
15m(2 + m) = m + -12
(2 * 15m + m * 15m) = m + -12
(30m + 15m2) = m + -12

Reorder the terms:
30m + 15m2 = -12 + m

Solving
30m + 15m2 = -12 + m

Solving for variable 'm'.

Reorder the terms:
12 + 30m + -1m + 15m2 = -12 + m + 12 + -1m

Combine like terms: 30m + -1m = 29m
12 + 29m + 15m2 = -12 + m + 12 + -1m

Reorder the terms:
12 + 29m + 15m2 = -12 + 12 + m + -1m

Combine like terms: -12 + 12 = 0
12 + 29m + 15m2 = 0 + m + -1m
12 + 29m + 15m2 = m + -1m

Combine like terms: m + -1m = 0
12 + 29m + 15m2 = 0

Factor a trinomial.
(4 + 3m)(3 + 5m) = 0

Subproblem 1
Set the factor '(4 + 3m)' equal to zero and attempt to solve:

Simplifying
4 + 3m = 0

Solving
4 + 3m = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3m = 0 + -4

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

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

Divide each side by '3'.
m = -1.333333333

Simplifying
m = -1.333333333
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 = {-1.333333333, -0.6}