5xy(12x-8y)=

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Solution for 5xy(12x-8y)= equation: 


Simplifying
5xy(12x + -8y) = 0
(12x * 5xy + -8y * 5xy) = 0

Reorder the terms:
(-40xy2 + 60x2y) = 0
(-40xy2 + 60x2y) = 0

Solving
-40xy2 + 60x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20xy'.
20xy(-2y + 3x) = 0

Ignore the factor 20.

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 '(-2y + 3x)' equal to zero and attempt to solve:

Simplifying
-2y + 3x = 0

Reorder the terms:
3x + -2y = 0

Solving
3x + -2y = 0

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

Add '2y' to each side of the equation.
3x + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
3x + 0 = 0 + 2y
3x = 0 + 2y
Remove the zero:
3x = 2y

Divide each side by '3'.
x = 0.6666666667y

Simplifying
x = 0.6666666667y
Solution
x = {0.6666666667y}

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