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

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


Simplifying
X2 + xy2 + y2 = 1

Solving
X2 + xy2 + y2 = 1

Solving for variable 'X'.

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

Add '-1xy2' to each side of the equation.
X2 + xy2 + -1xy2 + y2 = 1 + -1xy2

Combine like terms: xy2 + -1xy2 = 0
X2 + 0 + y2 = 1 + -1xy2
X2 + y2 = 1 + -1xy2

Add '-1y2' to each side of the equation.
X2 + y2 + -1y2 = 1 + -1xy2 + -1y2

Combine like terms: y2 + -1y2 = 0
X2 + 0 = 1 + -1xy2 + -1y2
X2 = 1 + -1xy2 + -1y2

Simplifying
X2 = 1 + -1xy2 + -1y2

Reorder the terms:
-1 + X2 + xy2 + y2 = 1 + -1xy2 + -1y2 + -1 + xy2 + y2

Reorder the terms:
-1 + X2 + xy2 + y2 = 1 + -1 + -1xy2 + xy2 + -1y2 + y2

Combine like terms: 1 + -1 = 0
-1 + X2 + xy2 + y2 = 0 + -1xy2 + xy2 + -1y2 + y2
-1 + X2 + xy2 + y2 = -1xy2 + xy2 + -1y2 + y2

Combine like terms: -1xy2 + xy2 = 0
-1 + X2 + xy2 + y2 = 0 + -1y2 + y2
-1 + X2 + xy2 + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-1 + X2 + xy2 + y2 = 0

The solution to this equation could not be determined.

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