(3x^2y-5xy+4xy^2)(2x+y)=

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Solution for (3x^2y-5xy+4xy^2)(2x+y)= equation: 


Simplifying
(3x2y + -5xy + 4xy2)(2x + y) = 0

Reorder the terms:
(-5xy + 4xy2 + 3x2y)(2x + y) = 0

Multiply (-5xy + 4xy2 + 3x2y) * (2x + y)
(-5xy * (2x + y) + 4xy2 * (2x + y) + 3x2y * (2x + y)) = 0
((2x * -5xy + y * -5xy) + 4xy2 * (2x + y) + 3x2y * (2x + y)) = 0

Reorder the terms:
((-5xy2 + -10x2y) + 4xy2 * (2x + y) + 3x2y * (2x + y)) = 0
((-5xy2 + -10x2y) + 4xy2 * (2x + y) + 3x2y * (2x + y)) = 0
(-5xy2 + -10x2y + (2x * 4xy2 + y * 4xy2) + 3x2y * (2x + y)) = 0

Reorder the terms:
(-5xy2 + -10x2y + (4xy3 + 8x2y2) + 3x2y * (2x + y)) = 0
(-5xy2 + -10x2y + (4xy3 + 8x2y2) + 3x2y * (2x + y)) = 0
(-5xy2 + -10x2y + 4xy3 + 8x2y2 + (2x * 3x2y + y * 3x2y)) = 0

Reorder the terms:
(-5xy2 + -10x2y + 4xy3 + 8x2y2 + (3x2y2 + 6x3y)) = 0
(-5xy2 + -10x2y + 4xy3 + 8x2y2 + (3x2y2 + 6x3y)) = 0

Reorder the terms:
(-5xy2 + 4xy3 + -10x2y + 8x2y2 + 3x2y2 + 6x3y) = 0

Combine like terms: 8x2y2 + 3x2y2 = 11x2y2
(-5xy2 + 4xy3 + -10x2y + 11x2y2 + 6x3y) = 0

Solving
-5xy2 + 4xy3 + -10x2y + 11x2y2 + 6x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-5y + 4y2 + -10x + 11xy + 6x2) = 0


Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
xy = 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 '(-5y + 4y2 + -10x + 11xy + 6x2)' equal to zero and attempt to solve:

Simplifying
-5y + 4y2 + -10x + 11xy + 6x2 = 0

Reorder the terms:
-10x + 11xy + 6x2 + -5y + 4y2 = 0

Solving
-10x + 11xy + 6x2 + -5y + 4y2 = 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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