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

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

Simplifying
X2 + xy + y2 + -1 = 0

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

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

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

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

Combine like terms: 0 + 1 = 1
X2 + xy + y2 = 1

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

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

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

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

Simplifying
X2 = 1 + -1xy + -1y2

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

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

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

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

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

The solution to this equation could not be determined.