40x^3-2y^2=4y^3-4xy

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Solution for 40x^3-2y^2=4y^3-4xy equation: 


Simplifying
40x3 + -2y2 = 4y3 + -4xy

Reorder the terms:
40x3 + -2y2 = -4xy + 4y3

Solving
40x3 + -2y2 = -4xy + 4y3

Solving for variable 'x'.

Reorder the terms:
4xy + 40x3 + -2y2 + -4y3 = -4xy + 4y3 + 4xy + -4y3

Reorder the terms:
4xy + 40x3 + -2y2 + -4y3 = -4xy + 4xy + 4y3 + -4y3

Combine like terms: -4xy + 4xy = 0
4xy + 40x3 + -2y2 + -4y3 = 0 + 4y3 + -4y3
4xy + 40x3 + -2y2 + -4y3 = 4y3 + -4y3

Combine like terms: 4y3 + -4y3 = 0
4xy + 40x3 + -2y2 + -4y3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2xy + 20x3 + -1y2 + -2y3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2xy + 20x3 + -1y2 + -2y3)' equal to zero and attempt to solve:

Simplifying
2xy + 20x3 + -1y2 + -2y3 = 0

Solving
2xy + 20x3 + -1y2 + -2y3 = 0

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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