X^2+2xy+y^2+x-y=0

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Solution for X^2+2xy+y^2+x-y=0 equation: 


Simplifying
X2 + 2xy + y2 + x + -1y = 0

Reorder the terms:
X2 + x + 2xy + -1y + y2 = 0

Solving
X2 + x + 2xy + -1y + y2 = 0

Solving for variable 'X'.

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

Add '-1x' to each side of the equation.
X2 + x + 2xy + -1y + -1x + y2 = 0 + -1x

Reorder the terms:
X2 + x + -1x + 2xy + -1y + y2 = 0 + -1x

Combine like terms: x + -1x = 0
X2 + 0 + 2xy + -1y + y2 = 0 + -1x
X2 + 2xy + -1y + y2 = 0 + -1x
Remove the zero:
X2 + 2xy + -1y + y2 = -1x

Add '-2xy' to each side of the equation.
X2 + 2xy + -1y + -2xy + y2 = -1x + -2xy

Reorder the terms:
X2 + 2xy + -2xy + -1y + y2 = -1x + -2xy

Combine like terms: 2xy + -2xy = 0
X2 + 0 + -1y + y2 = -1x + -2xy
X2 + -1y + y2 = -1x + -2xy

Add 'y' to each side of the equation.
X2 + -1y + y + y2 = -1x + -2xy + y

Combine like terms: -1y + y = 0
X2 + 0 + y2 = -1x + -2xy + y
X2 + y2 = -1x + -2xy + y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -1x + -2xy + y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -1x + -2xy + y + -1y2
X2 = -1x + -2xy + y + -1y2

Simplifying
X2 = -1x + -2xy + y + -1y2

Reorder the terms:
X2 + x + 2xy + -1y + y2 = -1x + x + -2xy + 2xy + y + -1y + -1y2 + y2

Combine like terms: -1x + x = 0
X2 + x + 2xy + -1y + y2 = 0 + -2xy + 2xy + y + -1y + -1y2 + y2
X2 + x + 2xy + -1y + y2 = -2xy + 2xy + y + -1y + -1y2 + y2

Combine like terms: -2xy + 2xy = 0
X2 + x + 2xy + -1y + y2 = 0 + y + -1y + -1y2 + y2
X2 + x + 2xy + -1y + y2 = y + -1y + -1y2 + y2

Combine like terms: y + -1y = 0
X2 + x + 2xy + -1y + y2 = 0 + -1y2 + y2
X2 + x + 2xy + -1y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
X2 + x + 2xy + -1y + y2 = 0

The solution to this equation could not be determined.

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