2mn^2(3m-4m^3+2mn)=0

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Solution for 2mn^2(3m-4m^3+2mn)=0 equation: 


Simplifying
2mn2(3m + -4m3 + 2mn) = 0

Reorder the terms:
2mn2(3m + 2mn + -4m3) = 0
(3m * 2mn2 + 2mn * 2mn2 + -4m3 * 2mn2) = 0
(6m2n2 + 4m2n3 + -8m4n2) = 0

Solving
6m2n2 + 4m2n3 + -8m4n2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m2n2'.
2m2n2(3 + 2n + -4m2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'm2n2' equal to zero and attempt to solve:

Simplifying
m2n2 = 0

Solving
m2n2 = 0

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

Simplifying
m2n2 = 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 '(3 + 2n + -4m2)' equal to zero and attempt to solve:

Simplifying
3 + 2n + -4m2 = 0

Reorder the terms:
3 + -4m2 + 2n = 0

Solving
3 + -4m2 + 2n = 0

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

Add '-3' to each side of the equation.
3 + -4m2 + -3 + 2n = 0 + -3

Reorder the terms:
3 + -3 + -4m2 + 2n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4m2 + 2n = 0 + -3
-4m2 + 2n = 0 + -3

Combine like terms: 0 + -3 = -3
-4m2 + 2n = -3

Add '-2n' to each side of the equation.
-4m2 + 2n + -2n = -3 + -2n

Combine like terms: 2n + -2n = 0
-4m2 + 0 = -3 + -2n
-4m2 = -3 + -2n

Divide each side by '-4'.
m2 = 0.75 + 0.5n

Simplifying
m2 = 0.75 + 0.5n

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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