X^3-3x^2y^3+4y^2=0

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Solution for X^3-3x^2y^3+4y^2=0 equation:


Simplifying
X3 + -3x2y3 + 4y2 = 0

Solving
X3 + -3x2y3 + 4y2 = 0

Solving for variable 'X'.

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

Add '3x2y3' to each side of the equation.
X3 + -3x2y3 + 3x2y3 + 4y2 = 0 + 3x2y3

Combine like terms: -3x2y3 + 3x2y3 = 0
X3 + 0 + 4y2 = 0 + 3x2y3
X3 + 4y2 = 0 + 3x2y3
Remove the zero:
X3 + 4y2 = 3x2y3

Add '-4y2' to each side of the equation.
X3 + 4y2 + -4y2 = 3x2y3 + -4y2

Combine like terms: 4y2 + -4y2 = 0
X3 + 0 = 3x2y3 + -4y2
X3 = 3x2y3 + -4y2

Simplifying
X3 = 3x2y3 + -4y2

Reorder the terms:
X3 + -3x2y3 + 4y2 = 3x2y3 + -3x2y3 + -4y2 + 4y2

Combine like terms: 3x2y3 + -3x2y3 = 0
X3 + -3x2y3 + 4y2 = 0 + -4y2 + 4y2
X3 + -3x2y3 + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
X3 + -3x2y3 + 4y2 = 0

The solution to this equation could not be determined.

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