4x^3+4x^2y+4xy^2+4y^3=8xy+4x^2

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Solution for 4x^3+4x^2y+4xy^2+4y^3=8xy+4x^2 equation:


Simplifying
4x3 + 4x2y + 4xy2 + 4y3 = 8xy + 4x2

Reorder the terms:
4xy2 + 4x2y + 4x3 + 4y3 = 8xy + 4x2

Solving
4xy2 + 4x2y + 4x3 + 4y3 = 8xy + 4x2

Solving for variable 'x'.

Reorder the terms:
-8xy + 4xy2 + -4x2 + 4x2y + 4x3 + 4y3 = 8xy + 4x2 + -8xy + -4x2

Reorder the terms:
-8xy + 4xy2 + -4x2 + 4x2y + 4x3 + 4y3 = 8xy + -8xy + 4x2 + -4x2

Combine like terms: 8xy + -8xy = 0
-8xy + 4xy2 + -4x2 + 4x2y + 4x3 + 4y3 = 0 + 4x2 + -4x2
-8xy + 4xy2 + -4x2 + 4x2y + 4x3 + 4y3 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-8xy + 4xy2 + -4x2 + 4x2y + 4x3 + 4y3 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2xy + xy2 + -1x2 + x2y + x3 + y3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-2xy + xy2 + -1x2 + x2y + x3 + y3)' equal to zero and attempt to solve: Simplifying -2xy + xy2 + -1x2 + x2y + x3 + y3 = 0 Solving -2xy + xy2 + -1x2 + x2y + x3 + y3 = 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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