-3xy^3(x-2y)=0

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


Simplifying
-3xy3(x + -2y) = 0
(x * -3xy3 + -2y * -3xy3) = 0

Reorder the terms:
(6xy4 + -3x2y3) = 0
(6xy4 + -3x2y3) = 0

Solving
6xy4 + -3x2y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy3'.
3xy3(2y + -1x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'xy3' equal to zero and attempt to solve: Simplifying xy3 = 0 Solving xy3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy3 = 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 '(2y + -1x)' equal to zero and attempt to solve: Simplifying 2y + -1x = 0 Reorder the terms: -1x + 2y = 0 Solving -1x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. -1x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 -1x + 0 = 0 + -2y -1x = 0 + -2y Remove the zero: -1x = -2y Divide each side by '-1'. x = 2y Simplifying x = 2y

Solution

x = {2y}

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