5M^2*N^3*MN^2*(4M-N)=0

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Solution for 5M^2*N^3*MN^2*(4M-N)=0 equation:


Simplifying
5M2 * N3 * MN2(4M + -1N) = 0

Multiply M2 * N3
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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