X^2+3y^2-2xy-1=0

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


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

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

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

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

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

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

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

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

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

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

Simplifying
X2 = 1 + 2xy + -3y2

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

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

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

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

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

The solution to this equation could not be determined.

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