-0.8m^2n(15m+20n)=0

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Solution for -0.8m^2n(15m+20n)=0 equation: 


Simplifying
-0.8m2n(15m + 20n) = 0
(15m * -0.8m2n + 20n * -0.8m2n) = 0

Reorder the terms:
(-16m2n2 + -12m3n) = 0
(-16m2n2 + -12m3n) = 0

Solving
-16m2n2 + -12m3n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '-4m2n'.
-4m2n(4n + 3m) = 0

Ignore the factor -4.

Subproblem 1
Set the factor 'm2n' equal to zero and attempt to solve:

Simplifying
m2n = 0

Solving
m2n = 0

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

Simplifying
m2n = 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 '(4n + 3m)' equal to zero and attempt to solve:

Simplifying
4n + 3m = 0

Reorder the terms:
3m + 4n = 0

Solving
3m + 4n = 0

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

Add '-4n' to each side of the equation.
3m + 4n + -4n = 0 + -4n

Combine like terms: 4n + -4n = 0
3m + 0 = 0 + -4n
3m = 0 + -4n
Remove the zero:
3m = -4n

Divide each side by '3'.
m = -1.333333333n

Simplifying
m = -1.333333333n
Solution
m = {-1.333333333n}

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