(5mn-8mn-2n)*(-4mn)=

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Solution for (5mn-8mn-2n)*(-4mn)= equation: 


Simplifying
(5mn + -8mn + -2n)(-4mn) = 0

Combine like terms: 5mn + -8mn = -3mn
(-3mn + -2n)(-4mn) = 0

Remove parenthesis around (-4mn)
(-3mn + -2n) * -4mn = 0

Reorder the terms for easier multiplication:
-4mn(-3mn + -2n) = 0
(-3mn * -4mn + -2n * -4mn) = 0

Reorder the terms:
(8mn2 + 12m2n2) = 0
(8mn2 + 12m2n2) = 0

Solving
8mn2 + 12m2n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4mn2'.
4mn2(2 + 3m) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'mn2' equal to zero and attempt to solve:

Simplifying
mn2 = 0

Solving
mn2 = 0

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

Simplifying
mn2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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 = {-0.6666666667}

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