4x^3+4xy^2-30x-2=4y^3+4yx^2-30x-4

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Solution for 4x^3+4xy^2-30x-2=4y^3+4yx^2-30x-4 equation:


Simplifying
4x3 + 4xy2 + -30x + -2 = 4y3 + 4yx2 + -30x + -4

Reorder the terms:
-2 + -30x + 4xy2 + 4x3 = 4y3 + 4yx2 + -30x + -4

Reorder the terms:
-2 + -30x + 4xy2 + 4x3 = -4 + -30x + 4x2y + 4y3

Add '30x' to each side of the equation.
-2 + -30x + 4xy2 + 30x + 4x3 = -4 + -30x + 4x2y + 30x + 4y3

Reorder the terms:
-2 + -30x + 30x + 4xy2 + 4x3 = -4 + -30x + 4x2y + 30x + 4y3

Combine like terms: -30x + 30x = 0
-2 + 0 + 4xy2 + 4x3 = -4 + -30x + 4x2y + 30x + 4y3
-2 + 4xy2 + 4x3 = -4 + -30x + 4x2y + 30x + 4y3

Reorder the terms:
-2 + 4xy2 + 4x3 = -4 + -30x + 30x + 4x2y + 4y3

Combine like terms: -30x + 30x = 0
-2 + 4xy2 + 4x3 = -4 + 0 + 4x2y + 4y3
-2 + 4xy2 + 4x3 = -4 + 4x2y + 4y3

Solving
-2 + 4xy2 + 4x3 = -4 + 4x2y + 4y3

Solving for variable 'x'.

Reorder the terms:
-2 + 4 + 4xy2 + -4x2y + 4x3 + -4y3 = -4 + 4x2y + 4y3 + 4 + -4x2y + -4y3

Combine like terms: -2 + 4 = 2
2 + 4xy2 + -4x2y + 4x3 + -4y3 = -4 + 4x2y + 4y3 + 4 + -4x2y + -4y3

Reorder the terms:
2 + 4xy2 + -4x2y + 4x3 + -4y3 = -4 + 4 + 4x2y + -4x2y + 4y3 + -4y3

Combine like terms: -4 + 4 = 0
2 + 4xy2 + -4x2y + 4x3 + -4y3 = 0 + 4x2y + -4x2y + 4y3 + -4y3
2 + 4xy2 + -4x2y + 4x3 + -4y3 = 4x2y + -4x2y + 4y3 + -4y3

Combine like terms: 4x2y + -4x2y = 0
2 + 4xy2 + -4x2y + 4x3 + -4y3 = 0 + 4y3 + -4y3
2 + 4xy2 + -4x2y + 4x3 + -4y3 = 4y3 + -4y3

Combine like terms: 4y3 + -4y3 = 0
2 + 4xy2 + -4x2y + 4x3 + -4y3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 2xy2 + -2x2y + 2x3 + -2y3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + 2xy2 + -2x2y + 2x3 + -2y3)' equal to zero and attempt to solve: Simplifying 1 + 2xy2 + -2x2y + 2x3 + -2y3 = 0 Solving 1 + 2xy2 + -2x2y + 2x3 + -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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