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

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


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

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

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

Solving for variable 'X'.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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