X^2-8x+y^2+2y=19

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Solution for X^2-8x+y^2+2y=19 equation: 


Simplifying
X2 + -8x + y2 + 2y = 19

Reorder the terms:
X2 + -8x + 2y + y2 = 19

Solving
X2 + -8x + 2y + y2 = 19

Solving for variable 'X'.

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

Add '8x' to each side of the equation.
X2 + -8x + 2y + 8x + y2 = 19 + 8x

Reorder the terms:
X2 + -8x + 8x + 2y + y2 = 19 + 8x

Combine like terms: -8x + 8x = 0
X2 + 0 + 2y + y2 = 19 + 8x
X2 + 2y + y2 = 19 + 8x

Add '-2y' to each side of the equation.
X2 + 2y + -2y + y2 = 19 + 8x + -2y

Combine like terms: 2y + -2y = 0
X2 + 0 + y2 = 19 + 8x + -2y
X2 + y2 = 19 + 8x + -2y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 19 + 8x + -2y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 19 + 8x + -2y + -1y2
X2 = 19 + 8x + -2y + -1y2

Simplifying
X2 = 19 + 8x + -2y + -1y2

Reorder the terms:
-19 + X2 + -8x + 2y + y2 = 19 + 8x + -2y + -1y2 + -19 + -8x + 2y + y2

Reorder the terms:
-19 + X2 + -8x + 2y + y2 = 19 + -19 + 8x + -8x + -2y + 2y + -1y2 + y2

Combine like terms: 19 + -19 = 0
-19 + X2 + -8x + 2y + y2 = 0 + 8x + -8x + -2y + 2y + -1y2 + y2
-19 + X2 + -8x + 2y + y2 = 8x + -8x + -2y + 2y + -1y2 + y2

Combine like terms: 8x + -8x = 0
-19 + X2 + -8x + 2y + y2 = 0 + -2y + 2y + -1y2 + y2
-19 + X2 + -8x + 2y + y2 = -2y + 2y + -1y2 + y2

Combine like terms: -2y + 2y = 0
-19 + X2 + -8x + 2y + y2 = 0 + -1y2 + y2
-19 + X2 + -8x + 2y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-19 + X2 + -8x + 2y + y2 = 0

The solution to this equation could not be determined.

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