5xy(2x-y)=0

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Solution for 5xy(2x-y)=0 equation: 


Simplifying
5xy(2x + -1y) = 0
(2x * 5xy + -1y * 5xy) = 0

Reorder the terms:
(-5xy2 + 10x2y) = 0
(-5xy2 + 10x2y) = 0

Solving
-5xy2 + 10x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5xy'.
5xy(-1y + 2x) = 0

Ignore the factor 5.

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 '(-1y + 2x)' equal to zero and attempt to solve:

Simplifying
-1y + 2x = 0

Reorder the terms:
2x + -1y = 0

Solving
2x + -1y = 0

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

Add 'y' to each side of the equation.
2x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
2x + 0 = 0 + y
2x = 0 + y
Remove the zero:
2x = y

Divide each side by '2'.
x = 0.5y

Simplifying
x = 0.5y
Solution
x = {0.5y}

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