X^2+y^2-3x-10y=13

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Solution for X^2+y^2-3x-10y=13 equation: 


Simplifying
X2 + y2 + -3x + -10y = 13

Reorder the terms:
X2 + -3x + -10y + y2 = 13

Solving
X2 + -3x + -10y + y2 = 13

Solving for variable 'X'.

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

Add '3x' to each side of the equation.
X2 + -3x + -10y + 3x + y2 = 13 + 3x

Reorder the terms:
X2 + -3x + 3x + -10y + y2 = 13 + 3x

Combine like terms: -3x + 3x = 0
X2 + 0 + -10y + y2 = 13 + 3x
X2 + -10y + y2 = 13 + 3x

Add '10y' to each side of the equation.
X2 + -10y + 10y + y2 = 13 + 3x + 10y

Combine like terms: -10y + 10y = 0
X2 + 0 + y2 = 13 + 3x + 10y
X2 + y2 = 13 + 3x + 10y

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 13 + 3x + 10y + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 13 + 3x + 10y + -1y2
X2 = 13 + 3x + 10y + -1y2

Simplifying
X2 = 13 + 3x + 10y + -1y2

Reorder the terms:
-13 + X2 + -3x + -10y + y2 = 13 + 3x + 10y + -1y2 + -13 + -3x + -10y + y2

Reorder the terms:
-13 + X2 + -3x + -10y + y2 = 13 + -13 + 3x + -3x + 10y + -10y + -1y2 + y2

Combine like terms: 13 + -13 = 0
-13 + X2 + -3x + -10y + y2 = 0 + 3x + -3x + 10y + -10y + -1y2 + y2
-13 + X2 + -3x + -10y + y2 = 3x + -3x + 10y + -10y + -1y2 + y2

Combine like terms: 3x + -3x = 0
-13 + X2 + -3x + -10y + y2 = 0 + 10y + -10y + -1y2 + y2
-13 + X2 + -3x + -10y + y2 = 10y + -10y + -1y2 + y2

Combine like terms: 10y + -10y = 0
-13 + X2 + -3x + -10y + y2 = 0 + -1y2 + y2
-13 + X2 + -3x + -10y + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-13 + X2 + -3x + -10y + y2 = 0

The solution to this equation could not be determined.

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