15m(m+2)=11m-6

Solution for 15m(m+2)=11m-6 equation:

Simplifying
15m(m + 2) = 11m + -6

Reorder the terms:
15m(2 + m) = 11m + -6
(2 * 15m + m * 15m) = 11m + -6
(30m + 15m2) = 11m + -6

Reorder the terms:
30m + 15m2 = -6 + 11m

Solving
30m + 15m2 = -6 + 11m

Solving for variable 'm'.

Reorder the terms:
6 + 30m + -11m + 15m2 = -6 + 11m + 6 + -11m

Combine like terms: 30m + -11m = 19m
6 + 19m + 15m2 = -6 + 11m + 6 + -11m

Reorder the terms:
6 + 19m + 15m2 = -6 + 6 + 11m + -11m

Combine like terms: -6 + 6 = 0
6 + 19m + 15m2 = 0 + 11m + -11m
6 + 19m + 15m2 = 11m + -11m

Combine like terms: 11m + -11m = 0
6 + 19m + 15m2 = 0

Factor a trinomial.
(2 + 3m)(3 + 5m) = 0

Subproblem 1
Set the factor '(2 + 3m)' equal to zero and attempt to solve:

Simplifying
2 + 3m = 0

Solving
2 + 3m = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3m = 0 + -2
3m = 0 + -2

Combine like terms: 0 + -2 = -2
3m = -2

Divide each side by '3'.
m = -0.6666666667

Simplifying
m = -0.6666666667
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 = {-0.6666666667, -0.6}