15m(m+5)=38m-20

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Solution for 15m(m+5)=38m-20 equation: 


Simplifying
15m(m + 5) = 38m + -20

Reorder the terms:
15m(5 + m) = 38m + -20
(5 * 15m + m * 15m) = 38m + -20
(75m + 15m2) = 38m + -20

Reorder the terms:
75m + 15m2 = -20 + 38m

Solving
75m + 15m2 = -20 + 38m

Solving for variable 'm'.

Reorder the terms:
20 + 75m + -38m + 15m2 = -20 + 38m + 20 + -38m

Combine like terms: 75m + -38m = 37m
20 + 37m + 15m2 = -20 + 38m + 20 + -38m

Reorder the terms:
20 + 37m + 15m2 = -20 + 20 + 38m + -38m

Combine like terms: -20 + 20 = 0
20 + 37m + 15m2 = 0 + 38m + -38m
20 + 37m + 15m2 = 38m + -38m

Combine like terms: 38m + -38m = 0
20 + 37m + 15m2 = 0

Factor a trinomial.
(5 + 3m)(4 + 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 '(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
Solution
m = {-1.666666667, -0.8}

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