X^2+y^2-2x+y-3=0

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Solution for X^2+y^2-2x+y-3=0 equation:


Simplifying
X2 + y2 + -2x + y + -3 = 0

Reorder the terms:
-3 + X2 + -2x + y + y2 = 0

Solving
-3 + X2 + -2x + y + y2 = 0

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + X2 + -2x + y + 3 + y2 = 0 + 3

Reorder the terms:
-3 + 3 + X2 + -2x + y + y2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + X2 + -2x + y + y2 = 0 + 3
X2 + -2x + y + y2 = 0 + 3

Combine like terms: 0 + 3 = 3
X2 + -2x + y + y2 = 3

Add '2x' to each side of the equation.
X2 + -2x + y + 2x + y2 = 3 + 2x

Reorder the terms:
X2 + -2x + 2x + y + y2 = 3 + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 + y + y2 = 3 + 2x
X2 + y + y2 = 3 + 2x

Add '-1y' to each side of the equation.
X2 + y + -1y + y2 = 3 + 2x + -1y

Combine like terms: y + -1y = 0
X2 + 0 + y2 = 3 + 2x + -1y
X2 + y2 = 3 + 2x + -1y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 3 + 2x + -1y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 3 + 2x + -1y + -1y2
X2 = 3 + 2x + -1y + -1y2

Simplifying
X2 = 3 + 2x + -1y + -1y2

Reorder the terms:
-3 + X2 + -2x + y + y2 = 3 + 2x + -1y + -1y2 + -3 + -2x + y + y2

Reorder the terms:
-3 + X2 + -2x + y + y2 = 3 + -3 + 2x + -2x + -1y + y + -1y2 + y2

Combine like terms: 3 + -3 = 0
-3 + X2 + -2x + y + y2 = 0 + 2x + -2x + -1y + y + -1y2 + y2
-3 + X2 + -2x + y + y2 = 2x + -2x + -1y + y + -1y2 + y2

Combine like terms: 2x + -2x = 0
-3 + X2 + -2x + y + y2 = 0 + -1y + y + -1y2 + y2
-3 + X2 + -2x + y + y2 = -1y + y + -1y2 + y2

Combine like terms: -1y + y = 0
-3 + X2 + -2x + y + y2 = 0 + -1y2 + y2
-3 + X2 + -2x + y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-3 + X2 + -2x + y + y2 = 0

The solution to this equation could not be determined.

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