X^2+y^2-8x+4y+13=0

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Solution for X^2+y^2-8x+4y+13=0 equation: 


Simplifying
X2 + y2 + -8x + 4y + 13 = 0

Reorder the terms:
13 + X2 + -8x + 4y + y2 = 0

Solving
13 + X2 + -8x + 4y + 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 + -8x + 4y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + X2 + -8x + 4y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + X2 + -8x + 4y + y2 = 0 + -13
X2 + -8x + 4y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
X2 + -8x + 4y + y2 = -13

Add '8x' to each side of the equation.
X2 + -8x + 4y + 8x + y2 = -13 + 8x

Reorder the terms:
X2 + -8x + 8x + 4y + y2 = -13 + 8x

Combine like terms: -8x + 8x = 0
X2 + 0 + 4y + y2 = -13 + 8x
X2 + 4y + y2 = -13 + 8x

Add '-4y' to each side of the equation.
X2 + 4y + -4y + y2 = -13 + 8x + -4y

Combine like terms: 4y + -4y = 0
X2 + 0 + y2 = -13 + 8x + -4y
X2 + y2 = -13 + 8x + -4y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -13 + 8x + -4y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -13 + 8x + -4y + -1y2
X2 = -13 + 8x + -4y + -1y2

Simplifying
X2 = -13 + 8x + -4y + -1y2

Reorder the terms:
13 + X2 + -8x + 4y + y2 = -13 + 8x + -4y + -1y2 + 13 + -8x + 4y + y2

Reorder the terms:
13 + X2 + -8x + 4y + y2 = -13 + 13 + 8x + -8x + -4y + 4y + -1y2 + y2

Combine like terms: -13 + 13 = 0
13 + X2 + -8x + 4y + y2 = 0 + 8x + -8x + -4y + 4y + -1y2 + y2
13 + X2 + -8x + 4y + y2 = 8x + -8x + -4y + 4y + -1y2 + y2

Combine like terms: 8x + -8x = 0
13 + X2 + -8x + 4y + y2 = 0 + -4y + 4y + -1y2 + y2
13 + X2 + -8x + 4y + y2 = -4y + 4y + -1y2 + y2

Combine like terms: -4y + 4y = 0
13 + X2 + -8x + 4y + y2 = 0 + -1y2 + y2
13 + X2 + -8x + 4y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
13 + X2 + -8x + 4y + y2 = 0

The solution to this equation could not be determined.

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