6m(m+4)=m-15

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

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

Reorder the terms:
6m(4 + m) = m + -15
(4 * 6m + m * 6m) = m + -15
(24m + 6m2) = m + -15

Reorder the terms:
24m + 6m2 = -15 + m

Solving
24m + 6m2 = -15 + m

Solving for variable 'm'.

Reorder the terms:
15 + 24m + -1m + 6m2 = -15 + m + 15 + -1m

Combine like terms: 24m + -1m = 23m
15 + 23m + 6m2 = -15 + m + 15 + -1m

Reorder the terms:
15 + 23m + 6m2 = -15 + 15 + m + -1m

Combine like terms: -15 + 15 = 0
15 + 23m + 6m2 = 0 + m + -1m
15 + 23m + 6m2 = m + -1m

Combine like terms: m + -1m = 0
15 + 23m + 6m2 = 0

Factor a trinomial.
(3 + m)(5 + 6m) = 0

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

Simplifying
3 + m = 0

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

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

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

Simplifying
m = -3
Subproblem 2
Set the factor '(5 + 6m)' equal to zero and attempt to solve:

Simplifying
5 + 6m = 0

Solving
5 + 6m = 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 + 6m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6m = 0 + -5
6m = 0 + -5

Combine like terms: 0 + -5 = -5
6m = -5

Divide each side by '6'.
m = -0.8333333333

Simplifying
m = -0.8333333333
Solution
m = {-3, -0.8333333333}