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

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


Simplifying
3xy2(x2 + -2xy) = 0

Reorder the terms:
3xy2(-2xy + x2) = 0
(-2xy * 3xy2 + x2 * 3xy2) = 0
(-6x2y3 + 3x3y2) = 0

Solving
-6x2y3 + 3x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2y2'.
3x2y2(-2y + x) = 0

Ignore the factor 3.

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

Solution

x = {2y}

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