X^2+y^2-3x+10y-1=0

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Solution for X^2+y^2-3x+10y-1=0 equation: 


Simplifying
X2 + y2 + -3x + 10y + -1 = 0

Reorder the terms:
-1 + X2 + -3x + 10y + y2 = 0

Solving
-1 + X2 + -3x + 10y + y2 = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + X2 + -3x + 10y + 1 + y2 = 0 + 1

Reorder the terms:
-1 + 1 + X2 + -3x + 10y + y2 = 0 + 1

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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