X^2-2x+y^2-10y=-16

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Solution for X^2-2x+y^2-10y=-16 equation: 


Simplifying
X2 + -2x + y2 + -10y = -16

Reorder the terms:
X2 + -2x + -10y + y2 = -16

Solving
X2 + -2x + -10y + y2 = -16

Solving for variable 'X'.

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

Add '2x' to each side of the equation.
X2 + -2x + -10y + 2x + y2 = -16 + 2x

Reorder the terms:
X2 + -2x + 2x + -10y + y2 = -16 + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 + -10y + y2 = -16 + 2x
X2 + -10y + y2 = -16 + 2x

Add '10y' to each side of the equation.
X2 + -10y + 10y + y2 = -16 + 2x + 10y

Combine like terms: -10y + 10y = 0
X2 + 0 + y2 = -16 + 2x + 10y
X2 + y2 = -16 + 2x + 10y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -16 + 2x + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -16 + 2x + 10y + -1y2
X2 = -16 + 2x + 10y + -1y2

Simplifying
X2 = -16 + 2x + 10y + -1y2

Reorder the terms:
16 + X2 + -2x + -10y + y2 = -16 + 2x + 10y + -1y2 + 16 + -2x + -10y + y2

Reorder the terms:
16 + X2 + -2x + -10y + y2 = -16 + 16 + 2x + -2x + 10y + -10y + -1y2 + y2

Combine like terms: -16 + 16 = 0
16 + X2 + -2x + -10y + y2 = 0 + 2x + -2x + 10y + -10y + -1y2 + y2
16 + X2 + -2x + -10y + y2 = 2x + -2x + 10y + -10y + -1y2 + y2

Combine like terms: 2x + -2x = 0
16 + X2 + -2x + -10y + y2 = 0 + 10y + -10y + -1y2 + y2
16 + X2 + -2x + -10y + y2 = 10y + -10y + -1y2 + y2

Combine like terms: 10y + -10y = 0
16 + X2 + -2x + -10y + y2 = 0 + -1y2 + y2
16 + X2 + -2x + -10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
16 + X2 + -2x + -10y + y2 = 0

The solution to this equation could not be determined.

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