X^2-2x+y^2-8y+13=0

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Solution for X^2-2x+y^2-8y+13=0 equation: 


Simplifying
X2 + -2x + y2 + -8y + 13 = 0

Reorder the terms:
13 + X2 + -2x + -8y + y2 = 0

Solving
13 + X2 + -2x + -8y + y2 = 0

Solving for variable 'X'.

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

Add '-13' to each side of the equation.
13 + X2 + -2x + -8y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + X2 + -2x + -8y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + X2 + -2x + -8y + y2 = 0 + -13
X2 + -2x + -8y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
X2 + -2x + -8y + y2 = -13

Add '2x' to each side of the equation.
X2 + -2x + -8y + 2x + y2 = -13 + 2x

Reorder the terms:
X2 + -2x + 2x + -8y + y2 = -13 + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 + -8y + y2 = -13 + 2x
X2 + -8y + y2 = -13 + 2x

Add '8y' to each side of the equation.
X2 + -8y + 8y + y2 = -13 + 2x + 8y

Combine like terms: -8y + 8y = 0
X2 + 0 + y2 = -13 + 2x + 8y
X2 + y2 = -13 + 2x + 8y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -13 + 2x + 8y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -13 + 2x + 8y + -1y2
X2 = -13 + 2x + 8y + -1y2

Simplifying
X2 = -13 + 2x + 8y + -1y2

Reorder the terms:
13 + X2 + -2x + -8y + y2 = -13 + 2x + 8y + -1y2 + 13 + -2x + -8y + y2

Reorder the terms:
13 + X2 + -2x + -8y + y2 = -13 + 13 + 2x + -2x + 8y + -8y + -1y2 + y2

Combine like terms: -13 + 13 = 0
13 + X2 + -2x + -8y + y2 = 0 + 2x + -2x + 8y + -8y + -1y2 + y2
13 + X2 + -2x + -8y + y2 = 2x + -2x + 8y + -8y + -1y2 + y2

Combine like terms: 2x + -2x = 0
13 + X2 + -2x + -8y + y2 = 0 + 8y + -8y + -1y2 + y2
13 + X2 + -2x + -8y + y2 = 8y + -8y + -1y2 + y2

Combine like terms: 8y + -8y = 0
13 + X2 + -2x + -8y + y2 = 0 + -1y2 + y2
13 + X2 + -2x + -8y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
13 + X2 + -2x + -8y + y2 = 0

The solution to this equation could not be determined.

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