(4xy^2-5x+2y)(x^2y+6xy)=

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Solution for (4xy^2-5x+2y)(x^2y+6xy)= equation: 


Simplifying
(4xy2 + -5x + 2y)(x2y + 6xy) = 0

Reorder the terms:
(-5x + 4xy2 + 2y)(x2y + 6xy) = 0

Reorder the terms:
(-5x + 4xy2 + 2y)(6xy + x2y) = 0

Multiply (-5x + 4xy2 + 2y) * (6xy + x2y)
(-5x * (6xy + x2y) + 4xy2 * (6xy + x2y) + 2y * (6xy + x2y)) = 0
((6xy * -5x + x2y * -5x) + 4xy2 * (6xy + x2y) + 2y * (6xy + x2y)) = 0
((-30x2y + -5x3y) + 4xy2 * (6xy + x2y) + 2y * (6xy + x2y)) = 0
(-30x2y + -5x3y + (6xy * 4xy2 + x2y * 4xy2) + 2y * (6xy + x2y)) = 0
(-30x2y + -5x3y + (24x2y3 + 4x3y3) + 2y * (6xy + x2y)) = 0
(-30x2y + -5x3y + 24x2y3 + 4x3y3 + (6xy * 2y + x2y * 2y)) = 0
(-30x2y + -5x3y + 24x2y3 + 4x3y3 + (12xy2 + 2x2y2)) = 0

Reorder the terms:
(12xy2 + -30x2y + 2x2y2 + 24x2y3 + -5x3y + 4x3y3) = 0
(12xy2 + -30x2y + 2x2y2 + 24x2y3 + -5x3y + 4x3y3) = 0

Solving
12xy2 + -30x2y + 2x2y2 + 24x2y3 + -5x3y + 4x3y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(12y + -30x + 2xy + 24xy2 + -5x2 + 4x2y2) = 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 '(12y + -30x + 2xy + 24xy2 + -5x2 + 4x2y2)' equal to zero and attempt to solve:

Simplifying
12y + -30x + 2xy + 24xy2 + -5x2 + 4x2y2 = 0

Reorder the terms:
-30x + 2xy + 24xy2 + -5x2 + 4x2y2 + 12y = 0

Solving
-30x + 2xy + 24xy2 + -5x2 + 4x2y2 + 12y = 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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