X^3+y^3=3xy+1

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


Simplifying
X3 + y3 = 3xy + 1

Reorder the terms:
X3 + y3 = 1 + 3xy

Solving
X3 + y3 = 1 + 3xy

Solving for variable 'X'.

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

Add '-1y3' to each side of the equation.
X3 + y3 + -1y3 = 1 + 3xy + -1y3

Combine like terms: y3 + -1y3 = 0
X3 + 0 = 1 + 3xy + -1y3
X3 = 1 + 3xy + -1y3

Simplifying
X3 = 1 + 3xy + -1y3

Reorder the terms:
-1 + X3 + -3xy + y3 = 1 + 3xy + -1y3 + -1 + -3xy + y3

Reorder the terms:
-1 + X3 + -3xy + y3 = 1 + -1 + 3xy + -3xy + -1y3 + y3

Combine like terms: 1 + -1 = 0
-1 + X3 + -3xy + y3 = 0 + 3xy + -3xy + -1y3 + y3
-1 + X3 + -3xy + y3 = 3xy + -3xy + -1y3 + y3

Combine like terms: 3xy + -3xy = 0
-1 + X3 + -3xy + y3 = 0 + -1y3 + y3
-1 + X3 + -3xy + y3 = -1y3 + y3

Combine like terms: -1y3 + y3 = 0
-1 + X3 + -3xy + y3 = 0

The solution to this equation could not be determined.

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