(xy+8)(3xy-2x)=

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Solution for (xy+8)(3xy-2x)= equation: 


Simplifying
(xy + 8)(3xy + -2x) = 0

Reorder the terms:
(8 + xy)(3xy + -2x) = 0

Reorder the terms:
(8 + xy)(-2x + 3xy) = 0

Multiply (8 + xy) * (-2x + 3xy)
(8(-2x + 3xy) + xy(-2x + 3xy)) = 0
((-2x * 8 + 3xy * 8) + xy(-2x + 3xy)) = 0
((-16x + 24xy) + xy(-2x + 3xy)) = 0
(-16x + 24xy + (-2x * xy + 3xy * xy)) = 0
(-16x + 24xy + (-2x2y + 3x2y2)) = 0
(-16x + 24xy + -2x2y + 3x2y2) = 0

Solving
-16x + 24xy + -2x2y + 3x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + 24y + -2xy + 3xy2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-16 + 24y + -2xy + 3xy2)' equal to zero and attempt to solve:

Simplifying
-16 + 24y + -2xy + 3xy2 = 0

Reorder the terms:
-16 + -2xy + 3xy2 + 24y = 0

Solving
-16 + -2xy + 3xy2 + 24y = 0

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

Add '16' to each side of the equation.
-16 + -2xy + 3xy2 + 16 + 24y = 0 + 16

Reorder the terms:
-16 + 16 + -2xy + 3xy2 + 24y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -2xy + 3xy2 + 24y = 0 + 16
-2xy + 3xy2 + 24y = 0 + 16

Combine like terms: 0 + 16 = 16
-2xy + 3xy2 + 24y = 16

Add '-24y' to each side of the equation.
-2xy + 3xy2 + 24y + -24y = 16 + -24y

Combine like terms: 24y + -24y = 0
-2xy + 3xy2 + 0 = 16 + -24y
-2xy + 3xy2 = 16 + -24y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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