xy^2(p^2+2)=2py^3+x^3

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Solution for xy^2(p^2+2)=2py^3+x^3 equation: 


Simplifying
xy2(p2 + 2) = 2py3 + x3

Reorder the terms:
xy2(2 + p2) = 2py3 + x3
(2 * xy2 + p2 * xy2) = 2py3 + x3

Reorder the terms:
(p2xy2 + 2xy2) = 2py3 + x3
(p2xy2 + 2xy2) = 2py3 + x3

Solving
p2xy2 + 2xy2 = 2py3 + x3

Solving for variable 'p'.

Reorder the terms:
-2py3 + p2xy2 + 2xy2 + -1x3 = 2py3 + x3 + -2py3 + -1x3

Reorder the terms:
-2py3 + p2xy2 + 2xy2 + -1x3 = 2py3 + -2py3 + x3 + -1x3

Combine like terms: 2py3 + -2py3 = 0
-2py3 + p2xy2 + 2xy2 + -1x3 = 0 + x3 + -1x3
-2py3 + p2xy2 + 2xy2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-2py3 + p2xy2 + 2xy2 + -1x3 = 0

The solution to this equation could not be determined.

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