2xy(3x+4y-8)=

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Solution for 2xy(3x+4y-8)= equation: 


Simplifying
2xy(3x + 4y + -8) = 0

Reorder the terms:
2xy(-8 + 3x + 4y) = 0
(-8 * 2xy + 3x * 2xy + 4y * 2xy) = 0

Reorder the terms:
(-16xy + 8xy2 + 6x2y) = 0
(-16xy + 8xy2 + 6x2y) = 0

Solving
-16xy + 8xy2 + 6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(-8 + 4y + 3x) = 0

Ignore the factor 2.

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 '(-8 + 4y + 3x)' equal to zero and attempt to solve:

Simplifying
-8 + 4y + 3x = 0

Reorder the terms:
-8 + 3x + 4y = 0

Solving
-8 + 3x + 4y = 0

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

Add '8' to each side of the equation.
-8 + 3x + 8 + 4y = 0 + 8

Reorder the terms:
-8 + 8 + 3x + 4y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3x + 4y = 0 + 8
3x + 4y = 0 + 8

Combine like terms: 0 + 8 = 8
3x + 4y = 8

Add '-4y' to each side of the equation.
3x + 4y + -4y = 8 + -4y

Combine like terms: 4y + -4y = 0
3x + 0 = 8 + -4y
3x = 8 + -4y

Divide each side by '3'.
x = 2.666666667 + -1.333333333y

Simplifying
x = 2.666666667 + -1.333333333y
Solution
x = {2.666666667 + -1.333333333y}

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