3x^3y^3-xy=0

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


Simplifying
3x3y3 + -1xy = 0

Reorder the terms:
-1xy + 3x3y3 = 0

Solving
-1xy + 3x3y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-1 + 3x2y2) = 0

Subproblem 1

Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + 3x2y2)' equal to zero and attempt to solve: Simplifying -1 + 3x2y2 = 0 Solving -1 + 3x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3x2y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x2y2 = 0 + 1 3x2y2 = 0 + 1 Combine like terms: 0 + 1 = 1 3x2y2 = 1 Divide each side by '3y2'. x2 = 0.3333333333y-2 Simplifying x2 = 0.3333333333y-2 Take the square root of each side: x = {-0.577350269y-1, 0.577350269y-1}

Solution

x = {-0.577350269y-1, 0.577350269y-1}

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