xy(3x-5y)=0

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Solution for xy(3x-5y)=0 equation: 


Simplifying
xy(3x + -5y) = 0
(3x * xy + -5y * xy) = 0

Reorder the terms:
(-5xy2 + 3x2y) = 0
(-5xy2 + 3x2y) = 0

Solving
-5xy2 + 3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-5y + 3x) = 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 + 3x)' equal to zero and attempt to solve:

Simplifying
-5y + 3x = 0

Reorder the terms:
3x + -5y = 0

Solving
3x + -5y = 0

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

Add '5y' to each side of the equation.
3x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
3x + 0 = 0 + 5y
3x = 0 + 5y
Remove the zero:
3x = 5y

Divide each side by '3'.
x = 1.666666667y

Simplifying
x = 1.666666667y
Solution
x = {1.666666667y}

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