6x^3y^2-18x^2y^3=0

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Solution for 6x^3y^2-18x^2y^3=0 equation:


Simplifying
6x3y2 + -18x2y3 = 0

Reorder the terms:
-18x2y3 + 6x3y2 = 0

Solving
-18x2y3 + 6x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x2y2'.
6x2y2(-3y + x) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 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 '(-3y + x)' equal to zero and attempt to solve: Simplifying -3y + x = 0 Reorder the terms: x + -3y = 0 Solving x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 x + 0 = 0 + 3y x = 0 + 3y Remove the zero: x = 3y Simplifying x = 3y

Solution

x = {3y}

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