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

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


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

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

Add 'y2' to each side of the equation.
xy + -1x2 + y + -1y2 + y2 = 5x + x2 + -1y2 + y2

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

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

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

Solving for variable 'x'.

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

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

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

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

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

The solution to this equation could not be determined.

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