Answer
See below.
Work Step by Step
Let $5-\frac{2}{x}=y$, then the equation is: $y^2=y$, thus $y=0$ or $y=1$.
If $y=0$, then $5-\frac{2}{x}=0\\5=\frac{2}{x}\\x=0.4$
If $y=1$, then $5-\frac{2}{x}=1\\4=\frac{2}{x}\\x=0.5$
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