X^2+y^2-8x+16y=41

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Solution for X^2+y^2-8x+16y=41 equation: 


Simplifying
X2 + y2 + -8x + 16y = 41

Reorder the terms:
X2 + -8x + 16y + y2 = 41

Solving
X2 + -8x + 16y + y2 = 41

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 + 16y + 8x + y2 = 41 + 8x

Reorder the terms:
X2 + -8x + 8x + 16y + y2 = 41 + 8x

Combine like terms: -8x + 8x = 0
X2 + 0 + 16y + y2 = 41 + 8x
X2 + 16y + y2 = 41 + 8x

Add '-16y' to each side of the equation.
X2 + 16y + -16y + y2 = 41 + 8x + -16y

Combine like terms: 16y + -16y = 0
X2 + 0 + y2 = 41 + 8x + -16y
X2 + y2 = 41 + 8x + -16y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 41 + 8x + -16y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 41 + 8x + -16y + -1y2
X2 = 41 + 8x + -16y + -1y2

Simplifying
X2 = 41 + 8x + -16y + -1y2

Reorder the terms:
-41 + X2 + -8x + 16y + y2 = 41 + 8x + -16y + -1y2 + -41 + -8x + 16y + y2

Reorder the terms:
-41 + X2 + -8x + 16y + y2 = 41 + -41 + 8x + -8x + -16y + 16y + -1y2 + y2

Combine like terms: 41 + -41 = 0
-41 + X2 + -8x + 16y + y2 = 0 + 8x + -8x + -16y + 16y + -1y2 + y2
-41 + X2 + -8x + 16y + y2 = 8x + -8x + -16y + 16y + -1y2 + y2

Combine like terms: 8x + -8x = 0
-41 + X2 + -8x + 16y + y2 = 0 + -16y + 16y + -1y2 + y2
-41 + X2 + -8x + 16y + y2 = -16y + 16y + -1y2 + y2

Combine like terms: -16y + 16y = 0
-41 + X2 + -8x + 16y + y2 = 0 + -1y2 + y2
-41 + X2 + -8x + 16y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-41 + X2 + -8x + 16y + y2 = 0

The solution to this equation could not be determined.

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