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

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


Simplifying
4x2y3(2y2 + -3xy3) = 0

Reorder the terms:
4x2y3(-3xy3 + 2y2) = 0
(-3xy3 * 4x2y3 + 2y2 * 4x2y3) = 0

Reorder the terms:
(8x2y5 + -12x3y6) = 0
(8x2y5 + -12x3y6) = 0

Solving
8x2y5 + -12x3y6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x2y5'.
4x2y5(2 + -3xy) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x2y5' equal to zero and attempt to solve: Simplifying x2y5 = 0 Solving x2y5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y5 = 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 '(2 + -3xy)' equal to zero and attempt to solve: Simplifying 2 + -3xy = 0 Solving 2 + -3xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3xy = 0 + -2 -3xy = 0 + -2 Combine like terms: 0 + -2 = -2 -3xy = -2 Divide each side by '-3y'. x = 0.6666666667y-1 Simplifying x = 0.6666666667y-1

Solution

x = {0.6666666667y-1}

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