y^2+3x=x^2+5xy-y

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Solution for y^2+3x=x^2+5xy-y equation: 


Simplifying
y2 + 3x = x2 + 5xy + -1y

Reorder the terms:
3x + y2 = x2 + 5xy + -1y

Reorder the terms:
3x + y2 = 5xy + x2 + -1y

Solving
3x + y2 = 5xy + x2 + -1y

Solving for variable 'x'.

Reorder the terms:
3x + -5xy + -1x2 + y + y2 = 5xy + x2 + -1y + -5xy + -1x2 + y

Reorder the terms:
3x + -5xy + -1x2 + y + y2 = 5xy + -5xy + x2 + -1x2 + -1y + y

Combine like terms: 5xy + -5xy = 0
3x + -5xy + -1x2 + y + y2 = 0 + x2 + -1x2 + -1y + y
3x + -5xy + -1x2 + y + y2 = x2 + -1x2 + -1y + y

Combine like terms: x2 + -1x2 = 0
3x + -5xy + -1x2 + y + y2 = 0 + -1y + y
3x + -5xy + -1x2 + y + y2 = -1y + y

Combine like terms: -1y + y = 0
3x + -5xy + -1x2 + y + y2 = 0

The solution to this equation could not be determined.

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