x^2(p^2-y^2)+y^2=x^4+2xyp

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Solution for x^2(p^2-y^2)+y^2=x^4+2xyp equation:


Simplifying
x2(p2 + -1y2) + y2 = x4 + 2xyp
(p2 * x2 + -1y2 * x2) + y2 = x4 + 2xyp
(p2x2 + -1x2y2) + y2 = x4 + 2xyp

Reorder the terms:
p2x2 + -1x2y2 + y2 = 2pxy + x4

Solving
p2x2 + -1x2y2 + y2 = 2pxy + x4

Solving for variable 'p'.

Reorder the terms:
-2pxy + p2x2 + -1x2y2 + -1x4 + y2 = 2pxy + x4 + -2pxy + -1x4

Reorder the terms:
-2pxy + p2x2 + -1x2y2 + -1x4 + y2 = 2pxy + -2pxy + x4 + -1x4

Combine like terms: 2pxy + -2pxy = 0
-2pxy + p2x2 + -1x2y2 + -1x4 + y2 = 0 + x4 + -1x4
-2pxy + p2x2 + -1x2y2 + -1x4 + y2 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-2pxy + p2x2 + -1x2y2 + -1x4 + y2 = 0

The solution to this equation could not be determined.

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