X^3+y^3-3x^2+3y^2=0

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Solution for X^3+y^3-3x^2+3y^2=0 equation:


Simplifying
X3 + y3 + -3x2 + 3y2 = 0

Reorder the terms:
X3 + -3x2 + 3y2 + y3 = 0

Solving
X3 + -3x2 + 3y2 + y3 = 0

Solving for variable 'X'.

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

Add '3x2' to each side of the equation.
X3 + -3x2 + 3y2 + 3x2 + y3 = 0 + 3x2

Reorder the terms:
X3 + -3x2 + 3x2 + 3y2 + y3 = 0 + 3x2

Combine like terms: -3x2 + 3x2 = 0
X3 + 0 + 3y2 + y3 = 0 + 3x2
X3 + 3y2 + y3 = 0 + 3x2
Remove the zero:
X3 + 3y2 + y3 = 3x2

Add '-3y2' to each side of the equation.
X3 + 3y2 + -3y2 + y3 = 3x2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
X3 + 0 + y3 = 3x2 + -3y2
X3 + y3 = 3x2 + -3y2

Add '-1y3' to each side of the equation.
X3 + y3 + -1y3 = 3x2 + -3y2 + -1y3

Combine like terms: y3 + -1y3 = 0
X3 + 0 = 3x2 + -3y2 + -1y3
X3 = 3x2 + -3y2 + -1y3

Simplifying
X3 = 3x2 + -3y2 + -1y3

Reorder the terms:
X3 + -3x2 + 3y2 + y3 = 3x2 + -3x2 + -3y2 + 3y2 + -1y3 + y3

Combine like terms: 3x2 + -3x2 = 0
X3 + -3x2 + 3y2 + y3 = 0 + -3y2 + 3y2 + -1y3 + y3
X3 + -3x2 + 3y2 + y3 = -3y2 + 3y2 + -1y3 + y3

Combine like terms: -3y2 + 3y2 = 0
X3 + -3x2 + 3y2 + y3 = 0 + -1y3 + y3
X3 + -3x2 + 3y2 + y3 = -1y3 + y3

Combine like terms: -1y3 + y3 = 0
X3 + -3x2 + 3y2 + y3 = 0

The solution to this equation could not be determined.

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