y^2=x^2-x^4-2x^2y^2-y^4

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Solution for y^2=x^2-x^4-2x^2y^2-y^4 equation: 


Simplifying
y2 = x2 + -1x4 + -2x2y2 + -1y4

Reorder the terms:
y2 = x2 + -2x2y2 + -1x4 + -1y4

Solving
y2 = x2 + -2x2y2 + -1x4 + -1y4

Solving for variable 'y'.

Reorder the terms:
-1x2 + 2x2y2 + x4 + y2 + y4 = x2 + -2x2y2 + -1x4 + -1y4 + -1x2 + 2x2y2 + x4 + y4

Reorder the terms:
-1x2 + 2x2y2 + x4 + y2 + y4 = x2 + -1x2 + -2x2y2 + 2x2y2 + -1x4 + x4 + -1y4 + y4

Combine like terms: x2 + -1x2 = 0
-1x2 + 2x2y2 + x4 + y2 + y4 = 0 + -2x2y2 + 2x2y2 + -1x4 + x4 + -1y4 + y4
-1x2 + 2x2y2 + x4 + y2 + y4 = -2x2y2 + 2x2y2 + -1x4 + x4 + -1y4 + y4

Combine like terms: -2x2y2 + 2x2y2 = 0
-1x2 + 2x2y2 + x4 + y2 + y4 = 0 + -1x4 + x4 + -1y4 + y4
-1x2 + 2x2y2 + x4 + y2 + y4 = -1x4 + x4 + -1y4 + y4

Combine like terms: -1x4 + x4 = 0
-1x2 + 2x2y2 + x4 + y2 + y4 = 0 + -1y4 + y4
-1x2 + 2x2y2 + x4 + y2 + y4 = -1y4 + y4

Combine like terms: -1y4 + y4 = 0
-1x2 + 2x2y2 + x4 + y2 + y4 = 0

The solution to this equation could not be determined.

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