4x^3-4x+4y=4y^3+4x-4y

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Solution for 4x^3-4x+4y=4y^3+4x-4y equation:


Simplifying
4x3 + -4x + 4y = 4y3 + 4x + -4y

Reorder the terms:
-4x + 4x3 + 4y = 4y3 + 4x + -4y

Reorder the terms:
-4x + 4x3 + 4y = 4x + -4y + 4y3

Solving
-4x + 4x3 + 4y = 4x + -4y + 4y3

Solving for variable 'x'.

Reorder the terms:
-4x + -4x + 4x3 + 4y + 4y + -4y3 = 4x + -4y + 4y3 + -4x + 4y + -4y3

Combine like terms: -4x + -4x = -8x
-8x + 4x3 + 4y + 4y + -4y3 = 4x + -4y + 4y3 + -4x + 4y + -4y3

Combine like terms: 4y + 4y = 8y
-8x + 4x3 + 8y + -4y3 = 4x + -4y + 4y3 + -4x + 4y + -4y3

Reorder the terms:
-8x + 4x3 + 8y + -4y3 = 4x + -4x + -4y + 4y + 4y3 + -4y3

Combine like terms: 4x + -4x = 0
-8x + 4x3 + 8y + -4y3 = 0 + -4y + 4y + 4y3 + -4y3
-8x + 4x3 + 8y + -4y3 = -4y + 4y + 4y3 + -4y3

Combine like terms: -4y + 4y = 0
-8x + 4x3 + 8y + -4y3 = 0 + 4y3 + -4y3
-8x + 4x3 + 8y + -4y3 = 4y3 + -4y3

Combine like terms: 4y3 + -4y3 = 0
-8x + 4x3 + 8y + -4y3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2x + x3 + 2y + -1y3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-2x + x3 + 2y + -1y3)' equal to zero and attempt to solve: Simplifying -2x + x3 + 2y + -1y3 = 0 Solving -2x + x3 + 2y + -1y3 = 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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