5m^2n^3*mn^2(4m-n)=

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Solution for 5m^2n^3*mn^2(4m-n)= equation:


Simplifying
5m2n3 * mn2(4m + -1n) = 0

Multiply m2n3 * mn2
5m3n5(4m + -1n) = 0
(4m * 5m3n5 + -1n * 5m3n5) = 0

Reorder the terms:
(-5m3n6 + 20m4n5) = 0
(-5m3n6 + 20m4n5) = 0

Solving
-5m3n6 + 20m4n5 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m3n5'.
5m3n5(-1n + 4m) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'm3n5' equal to zero and attempt to solve: Simplifying m3n5 = 0 Solving m3n5 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3n5 = 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 '(-1n + 4m)' equal to zero and attempt to solve: Simplifying -1n + 4m = 0 Reorder the terms: 4m + -1n = 0 Solving 4m + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. 4m + -1n + n = 0 + n Combine like terms: -1n + n = 0 4m + 0 = 0 + n 4m = 0 + n Remove the zero: 4m = n Divide each side by '4'. m = 0.25n Simplifying m = 0.25n

Solution

m = {0.25n}

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