X^2+y^2+8x-16y+19=0

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Solution for X^2+y^2+8x-16y+19=0 equation: 


Simplifying
X2 + y2 + 8x + -16y + 19 = 0

Reorder the terms:
19 + X2 + 8x + -16y + y2 = 0

Solving
19 + X2 + 8x + -16y + y2 = 0

Solving for variable 'X'.

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

Add '-19' to each side of the equation.
19 + X2 + 8x + -16y + -19 + y2 = 0 + -19

Reorder the terms:
19 + -19 + X2 + 8x + -16y + y2 = 0 + -19

Combine like terms: 19 + -19 = 0
0 + X2 + 8x + -16y + y2 = 0 + -19
X2 + 8x + -16y + y2 = 0 + -19

Combine like terms: 0 + -19 = -19
X2 + 8x + -16y + y2 = -19

Add '-8x' to each side of the equation.
X2 + 8x + -16y + -8x + y2 = -19 + -8x

Reorder the terms:
X2 + 8x + -8x + -16y + y2 = -19 + -8x

Combine like terms: 8x + -8x = 0
X2 + 0 + -16y + y2 = -19 + -8x
X2 + -16y + y2 = -19 + -8x

Add '16y' to each side of the equation.
X2 + -16y + 16y + y2 = -19 + -8x + 16y

Combine like terms: -16y + 16y = 0
X2 + 0 + y2 = -19 + -8x + 16y
X2 + y2 = -19 + -8x + 16y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -19 + -8x + 16y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -19 + -8x + 16y + -1y2
X2 = -19 + -8x + 16y + -1y2

Simplifying
X2 = -19 + -8x + 16y + -1y2

Reorder the terms:
19 + X2 + 8x + -16y + y2 = -19 + -8x + 16y + -1y2 + 19 + 8x + -16y + y2

Reorder the terms:
19 + X2 + 8x + -16y + y2 = -19 + 19 + -8x + 8x + 16y + -16y + -1y2 + y2

Combine like terms: -19 + 19 = 0
19 + X2 + 8x + -16y + y2 = 0 + -8x + 8x + 16y + -16y + -1y2 + y2
19 + X2 + 8x + -16y + y2 = -8x + 8x + 16y + -16y + -1y2 + y2

Combine like terms: -8x + 8x = 0
19 + X2 + 8x + -16y + y2 = 0 + 16y + -16y + -1y2 + y2
19 + X2 + 8x + -16y + y2 = 16y + -16y + -1y2 + y2

Combine like terms: 16y + -16y = 0
19 + X2 + 8x + -16y + y2 = 0 + -1y2 + y2
19 + X2 + 8x + -16y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
19 + X2 + 8x + -16y + y2 = 0

The solution to this equation could not be determined.

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