X^3-xy+y^2=4

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Solution for X^3-xy+y^2=4 equation:


Simplifying
X3 + -1xy + y2 = 4

Solving
X3 + -1xy + y2 = 4

Solving for variable 'X'.

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

Add 'xy' to each side of the equation.
X3 + -1xy + xy + y2 = 4 + xy

Combine like terms: -1xy + xy = 0
X3 + 0 + y2 = 4 + xy
X3 + y2 = 4 + xy

Add '-1y2' to each side of the equation.
X3 + y2 + -1y2 = 4 + xy + -1y2

Combine like terms: y2 + -1y2 = 0
X3 + 0 = 4 + xy + -1y2
X3 = 4 + xy + -1y2

Simplifying
X3 = 4 + xy + -1y2

Reorder the terms:
-4 + X3 + -1xy + y2 = 4 + xy + -1y2 + -4 + -1xy + y2

Reorder the terms:
-4 + X3 + -1xy + y2 = 4 + -4 + xy + -1xy + -1y2 + y2

Combine like terms: 4 + -4 = 0
-4 + X3 + -1xy + y2 = 0 + xy + -1xy + -1y2 + y2
-4 + X3 + -1xy + y2 = xy + -1xy + -1y2 + y2

Combine like terms: xy + -1xy = 0
-4 + X3 + -1xy + y2 = 0 + -1y2 + y2
-4 + X3 + -1xy + y2 = -1y2 + y2

Combine like terms: -1y2 + y2 = 0
-4 + X3 + -1xy + y2 = 0

The solution to this equation could not be determined.

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