X^2+Y^2-10x-2y+13=0

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Solution for X^2+Y^2-10x-2y+13=0 equation:


Simplifying
X2 + Y2 + -10x + -2y + 13 = 0

Reorder the terms:
13 + X2 + Y2 + -10x + -2y = 0

Solving
13 + X2 + Y2 + -10x + -2y = 0

Solving for variable 'X'.

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

Add '-13' to each side of the equation.
13 + X2 + Y2 + -10x + -13 + -2y = 0 + -13

Reorder the terms:
13 + -13 + X2 + Y2 + -10x + -2y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + X2 + Y2 + -10x + -2y = 0 + -13
X2 + Y2 + -10x + -2y = 0 + -13

Combine like terms: 0 + -13 = -13
X2 + Y2 + -10x + -2y = -13

Add '-1Y2' to each side of the equation.
X2 + Y2 + -10x + -1Y2 + -2y = -13 + -1Y2

Reorder the terms:
X2 + Y2 + -1Y2 + -10x + -2y = -13 + -1Y2

Combine like terms: Y2 + -1Y2 = 0
X2 + 0 + -10x + -2y = -13 + -1Y2
X2 + -10x + -2y = -13 + -1Y2

Add '10x' to each side of the equation.
X2 + -10x + 10x + -2y = -13 + -1Y2 + 10x

Combine like terms: -10x + 10x = 0
X2 + 0 + -2y = -13 + -1Y2 + 10x
X2 + -2y = -13 + -1Y2 + 10x

Add '2y' to each side of the equation.
X2 + -2y + 2y = -13 + -1Y2 + 10x + 2y

Combine like terms: -2y + 2y = 0
X2 + 0 = -13 + -1Y2 + 10x + 2y
X2 = -13 + -1Y2 + 10x + 2y

Simplifying
X2 = -13 + -1Y2 + 10x + 2y

Reorder the terms:
13 + X2 + Y2 + -10x + -2y = -13 + -1Y2 + 10x + 2y + 13 + Y2 + -10x + -2y

Reorder the terms:
13 + X2 + Y2 + -10x + -2y = -13 + 13 + -1Y2 + Y2 + 10x + -10x + 2y + -2y

Combine like terms: -13 + 13 = 0
13 + X2 + Y2 + -10x + -2y = 0 + -1Y2 + Y2 + 10x + -10x + 2y + -2y
13 + X2 + Y2 + -10x + -2y = -1Y2 + Y2 + 10x + -10x + 2y + -2y

Combine like terms: -1Y2 + Y2 = 0
13 + X2 + Y2 + -10x + -2y = 0 + 10x + -10x + 2y + -2y
13 + X2 + Y2 + -10x + -2y = 10x + -10x + 2y + -2y

Combine like terms: 10x + -10x = 0
13 + X2 + Y2 + -10x + -2y = 0 + 2y + -2y
13 + X2 + Y2 + -10x + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
13 + X2 + Y2 + -10x + -2y = 0

The solution to this equation could not be determined.

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