x+y^2=2xy-1

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Solution for x+y^2=2xy-1 equation:


Simplifying
x + y2 = 2xy + -1

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

Solving
x + y2 = -1 + 2xy

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2xy' to each side of the equation.
x + -2xy + y2 = -1 + 2xy + -2xy

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

Add '-1y2' to each side of the equation.
x + -2xy + y2 + -1y2 = -1 + -1y2

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

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

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

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

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

The solution to this equation could not be determined.

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