5x=2xy

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Solution for 5x=2xy equation:


Simplifying
5x = 2xy

Solving
5x = 2xy

Solving for variable 'x'.

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

Add '-2xy' to each side of the equation.
5x + -2xy = 2xy + -2xy

Combine like terms: 2xy + -2xy = 0
5x + -2xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + -2y) = 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 '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Add '2y' to each side of the equation. -2y + 2y = -5 + 2y Combine like terms: -2y + 2y = 0 0 = -5 + 2y Simplifying 0 = -5 + 2y 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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