X^2-y^2-2x+6y=10

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Solution for X^2-y^2-2x+6y=10 equation: 


Simplifying
X2 + -1y2 + -2x + 6y = 10

Reorder the terms:
X2 + -2x + 6y + -1y2 = 10

Solving
X2 + -2x + 6y + -1y2 = 10

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 + 6y + 2x + -1y2 = 10 + 2x

Reorder the terms:
X2 + -2x + 2x + 6y + -1y2 = 10 + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 + 6y + -1y2 = 10 + 2x
X2 + 6y + -1y2 = 10 + 2x

Add '-6y' to each side of the equation.
X2 + 6y + -6y + -1y2 = 10 + 2x + -6y

Combine like terms: 6y + -6y = 0
X2 + 0 + -1y2 = 10 + 2x + -6y
X2 + -1y2 = 10 + 2x + -6y

Add 'y2' to each side of the equation.
X2 + -1y2 + y2 = 10 + 2x + -6y + y2

Combine like terms: -1y2 + y2 = 0
X2 + 0 = 10 + 2x + -6y + y2
X2 = 10 + 2x + -6y + y2

Simplifying
X2 = 10 + 2x + -6y + y2

Reorder the terms:
-10 + X2 + -2x + 6y + -1y2 = 10 + 2x + -6y + y2 + -10 + -2x + 6y + -1y2

Reorder the terms:
-10 + X2 + -2x + 6y + -1y2 = 10 + -10 + 2x + -2x + -6y + 6y + y2 + -1y2

Combine like terms: 10 + -10 = 0
-10 + X2 + -2x + 6y + -1y2 = 0 + 2x + -2x + -6y + 6y + y2 + -1y2
-10 + X2 + -2x + 6y + -1y2 = 2x + -2x + -6y + 6y + y2 + -1y2

Combine like terms: 2x + -2x = 0
-10 + X2 + -2x + 6y + -1y2 = 0 + -6y + 6y + y2 + -1y2
-10 + X2 + -2x + 6y + -1y2 = -6y + 6y + y2 + -1y2

Combine like terms: -6y + 6y = 0
-10 + X2 + -2x + 6y + -1y2 = 0 + y2 + -1y2
-10 + X2 + -2x + 6y + -1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-10 + X2 + -2x + 6y + -1y2 = 0

The solution to this equation could not be determined.

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