3xy(x^2y^3z-2xy^4)=

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Solution for 3xy(x^2y^3z-2xy^4)= equation:


Simplifying
3xy(x2y3z + -2xy4) = 0

Reorder the terms:
3xy(-2xy4 + x2y3z) = 0
(-2xy4 * 3xy + x2y3z * 3xy) = 0
(-6x2y5 + 3x3y4z) = 0

Solving
-6x2y5 + 3x3y4z = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2y4'.
3x2y4(-2y + xz) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2y4' equal to zero and attempt to solve: Simplifying x2y4 = 0 Solving x2y4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y4 = 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 + xz)' equal to zero and attempt to solve: Simplifying -2y + xz = 0 Reorder the terms: xz + -2y = 0 Solving xz + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. xz + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 xz + 0 = 0 + 2y xz = 0 + 2y Remove the zero: xz = 2y Divide each side by 'z'. x = 2yz-1 Simplifying x = 2yz-1

Solution

x = {2yz-1}

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