-5(m-5)=3(10-2m)m

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Solution for -5(m-5)=3(10-2m)m equation: 


Simplifying
-5(m + -5) = 3(10 + -2m) * m

Reorder the terms:
-5(-5 + m) = 3(10 + -2m) * m
(-5 * -5 + m * -5) = 3(10 + -2m) * m
(25 + -5m) = 3(10 + -2m) * m

Reorder the terms for easier multiplication:
25 + -5m = 3m(10 + -2m)
25 + -5m = (10 * 3m + -2m * 3m)
25 + -5m = (30m + -6m2)

Solving
25 + -5m = 30m + -6m2

Solving for variable 'm'.

Combine like terms: -5m + -30m = -35m
25 + -35m + 6m2 = 30m + -6m2 + -30m + 6m2

Reorder the terms:
25 + -35m + 6m2 = 30m + -30m + -6m2 + 6m2

Combine like terms: 30m + -30m = 0
25 + -35m + 6m2 = 0 + -6m2 + 6m2
25 + -35m + 6m2 = -6m2 + 6m2

Combine like terms: -6m2 + 6m2 = 0
25 + -35m + 6m2 = 0

Factor a trinomial.
(5 + -6m)(5 + -1m) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(5 + -1m)' equal to zero and attempt to solve:

Simplifying
5 + -1m = 0

Solving
5 + -1m = 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 + -1m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m = 0 + -5
-1m = 0 + -5

Combine like terms: 0 + -5 = -5
-1m = -5

Divide each side by '-1'.
m = 5

Simplifying
m = 5
Solution
m = {0.8333333333, 5}

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