x^3-3xy^2=0

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Solution for x^3-3xy^2=0 equation:


Simplifying
x3 + -3xy2 = 0

Reorder the terms:
-3xy2 + x3 = 0

Solving
-3xy2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3y2 + x2) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-3y2 + x2)' equal to zero and attempt to solve: Simplifying -3y2 + x2 = 0 Reorder the terms: x2 + -3y2 = 0 Solving x2 + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y2' to each side of the equation. x2 + -3y2 + 3y2 = 0 + 3y2 Combine like terms: -3y2 + 3y2 = 0 x2 + 0 = 0 + 3y2 x2 = 0 + 3y2 Remove the zero: x2 = 3y2 Simplifying x2 = 3y2 Take the square root of each side: x = {-1.732050808y, 1.732050808y}

Solution

x = {0, -1.732050808y, 1.732050808y}

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