15m(m+2)=8m-8

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Solution for 15m(m+2)=8m-8 equation: 


Simplifying
15m(m + 2) = 8m + -8

Reorder the terms:
15m(2 + m) = 8m + -8
(2 * 15m + m * 15m) = 8m + -8
(30m + 15m2) = 8m + -8

Reorder the terms:
30m + 15m2 = -8 + 8m

Solving
30m + 15m2 = -8 + 8m

Solving for variable 'm'.

Reorder the terms:
8 + 30m + -8m + 15m2 = -8 + 8m + 8 + -8m

Combine like terms: 30m + -8m = 22m
8 + 22m + 15m2 = -8 + 8m + 8 + -8m

Reorder the terms:
8 + 22m + 15m2 = -8 + 8 + 8m + -8m

Combine like terms: -8 + 8 = 0
8 + 22m + 15m2 = 0 + 8m + -8m
8 + 22m + 15m2 = 8m + -8m

Combine like terms: 8m + -8m = 0
8 + 22m + 15m2 = 0

Factor a trinomial.
(4 + 5m)(2 + 3m) = 0


Subproblem 1
Set the factor '(4 + 5m)' equal to zero and attempt to solve:

Simplifying
4 + 5m = 0

Solving
4 + 5m = 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 + 5m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5m = 0 + -4
5m = 0 + -4

Combine like terms: 0 + -4 = -4
5m = -4

Divide each side by '5'.
m = -0.8

Simplifying
m = -0.8

Subproblem 2
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
Solution
m = {-0.8, -0.6666666667}

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