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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

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

Ignore the factor 4.

Subproblem 1

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