X^2+y^2-10x-2y=-25

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Solution for X^2+y^2-10x-2y=-25 equation: 


Simplifying
X2 + y2 + -10x + -2y = -25

Reorder the terms:
X2 + -10x + -2y + y2 = -25

Solving
X2 + -10x + -2y + y2 = -25

Solving for variable 'X'.

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

Add '10x' to each side of the equation.
X2 + -10x + -2y + 10x + y2 = -25 + 10x

Reorder the terms:
X2 + -10x + 10x + -2y + y2 = -25 + 10x

Combine like terms: -10x + 10x = 0
X2 + 0 + -2y + y2 = -25 + 10x
X2 + -2y + y2 = -25 + 10x

Add '2y' to each side of the equation.
X2 + -2y + 2y + y2 = -25 + 10x + 2y

Combine like terms: -2y + 2y = 0
X2 + 0 + y2 = -25 + 10x + 2y
X2 + y2 = -25 + 10x + 2y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = -25 + 10x + 2y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = -25 + 10x + 2y + -1y2
X2 = -25 + 10x + 2y + -1y2

Simplifying
X2 = -25 + 10x + 2y + -1y2

Reorder the terms:
25 + X2 + -10x + -2y + y2 = -25 + 10x + 2y + -1y2 + 25 + -10x + -2y + y2

Reorder the terms:
25 + X2 + -10x + -2y + y2 = -25 + 25 + 10x + -10x + 2y + -2y + -1y2 + y2

Combine like terms: -25 + 25 = 0
25 + X2 + -10x + -2y + y2 = 0 + 10x + -10x + 2y + -2y + -1y2 + y2
25 + X2 + -10x + -2y + y2 = 10x + -10x + 2y + -2y + -1y2 + y2

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

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

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

The solution to this equation could not be determined.

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