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

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


Simplifying
X2 + xy + y2 = -1

Solving
X2 + xy + y2 = -1

Solving for variable 'X'.

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

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.

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