X^2-3y^2-2xy-2x-10y+4=0

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Solution for X^2-3y^2-2xy-2x-10y+4=0 equation: 


Simplifying
X2 + -3y2 + -2xy + -2x + -10y + 4 = 0

Reorder the terms:
4 + X2 + -2x + -2xy + -10y + -3y2 = 0

Solving
4 + X2 + -2x + -2xy + -10y + -3y2 = 0

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + X2 + -2x + -2xy + -10y + -4 + -3y2 = 0 + -4

Reorder the terms:
4 + -4 + X2 + -2x + -2xy + -10y + -3y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + X2 + -2x + -2xy + -10y + -3y2 = 0 + -4
X2 + -2x + -2xy + -10y + -3y2 = 0 + -4

Combine like terms: 0 + -4 = -4
X2 + -2x + -2xy + -10y + -3y2 = -4

Add '2x' to each side of the equation.
X2 + -2x + -2xy + -10y + 2x + -3y2 = -4 + 2x

Reorder the terms:
X2 + -2x + 2x + -2xy + -10y + -3y2 = -4 + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 + -2xy + -10y + -3y2 = -4 + 2x
X2 + -2xy + -10y + -3y2 = -4 + 2x

Add '2xy' to each side of the equation.
X2 + -2xy + -10y + 2xy + -3y2 = -4 + 2x + 2xy

Reorder the terms:
X2 + -2xy + 2xy + -10y + -3y2 = -4 + 2x + 2xy

Combine like terms: -2xy + 2xy = 0
X2 + 0 + -10y + -3y2 = -4 + 2x + 2xy
X2 + -10y + -3y2 = -4 + 2x + 2xy

Add '10y' to each side of the equation.
X2 + -10y + 10y + -3y2 = -4 + 2x + 2xy + 10y

Combine like terms: -10y + 10y = 0
X2 + 0 + -3y2 = -4 + 2x + 2xy + 10y
X2 + -3y2 = -4 + 2x + 2xy + 10y

Add '3y2' to each side of the equation.
X2 + -3y2 + 3y2 = -4 + 2x + 2xy + 10y + 3y2

Combine like terms: -3y2 + 3y2 = 0
X2 + 0 = -4 + 2x + 2xy + 10y + 3y2
X2 = -4 + 2x + 2xy + 10y + 3y2

Simplifying
X2 = -4 + 2x + 2xy + 10y + 3y2

Reorder the terms:
4 + X2 + -2x + -2xy + -10y + -3y2 = -4 + 2x + 2xy + 10y + 3y2 + 4 + -2x + -2xy + -10y + -3y2

Reorder the terms:
4 + X2 + -2x + -2xy + -10y + -3y2 = -4 + 4 + 2x + -2x + 2xy + -2xy + 10y + -10y + 3y2 + -3y2

Combine like terms: -4 + 4 = 0
4 + X2 + -2x + -2xy + -10y + -3y2 = 0 + 2x + -2x + 2xy + -2xy + 10y + -10y + 3y2 + -3y2
4 + X2 + -2x + -2xy + -10y + -3y2 = 2x + -2x + 2xy + -2xy + 10y + -10y + 3y2 + -3y2

Combine like terms: 2x + -2x = 0
4 + X2 + -2x + -2xy + -10y + -3y2 = 0 + 2xy + -2xy + 10y + -10y + 3y2 + -3y2
4 + X2 + -2x + -2xy + -10y + -3y2 = 2xy + -2xy + 10y + -10y + 3y2 + -3y2

Combine like terms: 2xy + -2xy = 0
4 + X2 + -2x + -2xy + -10y + -3y2 = 0 + 10y + -10y + 3y2 + -3y2
4 + X2 + -2x + -2xy + -10y + -3y2 = 10y + -10y + 3y2 + -3y2

Combine like terms: 10y + -10y = 0
4 + X2 + -2x + -2xy + -10y + -3y2 = 0 + 3y2 + -3y2
4 + X2 + -2x + -2xy + -10y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
4 + X2 + -2x + -2xy + -10y + -3y2 = 0

The solution to this equation could not be determined.

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