x^2z+y(2x)+x(2y)z+y^2=0

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Solution for x^2z+y(2x)+x(2y)z+y^2=0 equation: 


Simplifying
x2z + y(2x) + x(2y) * z + y2 = 0

Remove parenthesis around (2x)
x2z + y * 2x + x(2y) * z + y2 = 0

Reorder the terms for easier multiplication:
x2z + 2y * x + x(2y) * z + y2 = 0

Multiply y * x
x2z + 2xy + x(2y) * z + y2 = 0

Remove parenthesis around (2y)
x2z + 2xy + x * 2y * z + y2 = 0

Reorder the terms for easier multiplication:
x2z + 2xy + 2x * y * z + y2 = 0

Multiply x * y
x2z + 2xy + 2xy * z + y2 = 0

Multiply xy * z
x2z + 2xy + 2xyz + y2 = 0

Reorder the terms:
2xy + 2xyz + x2z + y2 = 0

Solving
2xy + 2xyz + x2z + y2 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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