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

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


Simplifying
(4xy + 2x2y)(2x2 + -3xy) = 0

Reorder the terms:
(4xy + 2x2y)(-3xy + 2x2) = 0

Multiply (4xy + 2x2y) * (-3xy + 2x2)
(4xy * (-3xy + 2x2) + 2x2y * (-3xy + 2x2)) = 0
((-3xy * 4xy + 2x2 * 4xy) + 2x2y * (-3xy + 2x2)) = 0
((-12x2y2 + 8x3y) + 2x2y * (-3xy + 2x2)) = 0
(-12x2y2 + 8x3y + (-3xy * 2x2y + 2x2 * 2x2y)) = 0
(-12x2y2 + 8x3y + (-6x3y2 + 4x4y)) = 0
(-12x2y2 + 8x3y + -6x3y2 + 4x4y) = 0

Solving
-12x2y2 + 8x3y + -6x3y2 + 4x4y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2y'.
2x2y(-6y + 4x + -3xy + 2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 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 '(-6y + 4x + -3xy + 2x2)' equal to zero and attempt to solve: Simplifying -6y + 4x + -3xy + 2x2 = 0 Reorder the terms: 4x + -3xy + 2x2 + -6y = 0 Solving 4x + -3xy + 2x2 + -6y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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