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

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


Simplifying
y2 = 2y + -1xy + 5x + -1x2

Reorder the terms:
y2 = 5x + -1xy + -1x2 + 2y

Solving
y2 = 5x + -1xy + -1x2 + 2y

Solving for variable 'y'.

Reorder the terms:
-5x + xy + x2 + -2y + y2 = 5x + -1xy + -1x2 + 2y + -5x + xy + x2 + -2y

Reorder the terms:
-5x + xy + x2 + -2y + y2 = 5x + -5x + -1xy + xy + -1x2 + x2 + 2y + -2y

Combine like terms: 5x + -5x = 0
-5x + xy + x2 + -2y + y2 = 0 + -1xy + xy + -1x2 + x2 + 2y + -2y
-5x + xy + x2 + -2y + y2 = -1xy + xy + -1x2 + x2 + 2y + -2y

Combine like terms: -1xy + xy = 0
-5x + xy + x2 + -2y + y2 = 0 + -1x2 + x2 + 2y + -2y
-5x + xy + x2 + -2y + y2 = -1x2 + x2 + 2y + -2y

Combine like terms: -1x2 + x2 = 0
-5x + xy + x2 + -2y + y2 = 0 + 2y + -2y
-5x + xy + x2 + -2y + y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
-5x + xy + x2 + -2y + y2 = 0

The solution to this equation could not be determined.

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