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

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


Simplifying
X2 + -2xy + -3y2 + 2x + -1y + 3 = 0

Reorder the terms:
3 + X2 + 2x + -2xy + -1y + -3y2 = 0

Solving
3 + X2 + 2x + -2xy + -1y + -3y2 = 0

Solving for variable 'X'.

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

Add '-3' to each side of the equation.
3 + X2 + 2x + -2xy + -1y + -3 + -3y2 = 0 + -3

Reorder the terms:
3 + -3 + X2 + 2x + -2xy + -1y + -3y2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + X2 + 2x + -2xy + -1y + -3y2 = 0 + -3
X2 + 2x + -2xy + -1y + -3y2 = 0 + -3

Combine like terms: 0 + -3 = -3
X2 + 2x + -2xy + -1y + -3y2 = -3

Add '-2x' to each side of the equation.
X2 + 2x + -2xy + -1y + -2x + -3y2 = -3 + -2x

Reorder the terms:
X2 + 2x + -2x + -2xy + -1y + -3y2 = -3 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + -2xy + -1y + -3y2 = -3 + -2x
X2 + -2xy + -1y + -3y2 = -3 + -2x

Add '2xy' to each side of the equation.
X2 + -2xy + -1y + 2xy + -3y2 = -3 + -2x + 2xy

Reorder the terms:
X2 + -2xy + 2xy + -1y + -3y2 = -3 + -2x + 2xy

Combine like terms: -2xy + 2xy = 0
X2 + 0 + -1y + -3y2 = -3 + -2x + 2xy
X2 + -1y + -3y2 = -3 + -2x + 2xy

Add 'y' to each side of the equation.
X2 + -1y + y + -3y2 = -3 + -2x + 2xy + y

Combine like terms: -1y + y = 0
X2 + 0 + -3y2 = -3 + -2x + 2xy + y
X2 + -3y2 = -3 + -2x + 2xy + y

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

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

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

Reorder the terms:
3 + X2 + 2x + -2xy + -1y + -3y2 = -3 + -2x + 2xy + y + 3y2 + 3 + 2x + -2xy + -1y + -3y2

Reorder the terms:
3 + X2 + 2x + -2xy + -1y + -3y2 = -3 + 3 + -2x + 2x + 2xy + -2xy + y + -1y + 3y2 + -3y2

Combine like terms: -3 + 3 = 0
3 + X2 + 2x + -2xy + -1y + -3y2 = 0 + -2x + 2x + 2xy + -2xy + y + -1y + 3y2 + -3y2
3 + X2 + 2x + -2xy + -1y + -3y2 = -2x + 2x + 2xy + -2xy + y + -1y + 3y2 + -3y2

Combine like terms: -2x + 2x = 0
3 + X2 + 2x + -2xy + -1y + -3y2 = 0 + 2xy + -2xy + y + -1y + 3y2 + -3y2
3 + X2 + 2x + -2xy + -1y + -3y2 = 2xy + -2xy + y + -1y + 3y2 + -3y2

Combine like terms: 2xy + -2xy = 0
3 + X2 + 2x + -2xy + -1y + -3y2 = 0 + y + -1y + 3y2 + -3y2
3 + X2 + 2x + -2xy + -1y + -3y2 = y + -1y + 3y2 + -3y2

Combine like terms: y + -1y = 0
3 + X2 + 2x + -2xy + -1y + -3y2 = 0 + 3y2 + -3y2
3 + X2 + 2x + -2xy + -1y + -3y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
3 + X2 + 2x + -2xy + -1y + -3y2 = 0

The solution to this equation could not be determined.

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