Answer
$x=\left\{-\dfrac{1}{3}, 2 \right\}$
Work Step by Step
Multiplying both sides by the $LCD=
x^2
$, the value of the variable that satisfies the given equation, $
3-\dfrac{5}{x}-\dfrac{2}{x^2}=0
,$ is
\begin{array}{l}\require{cancel}
x^2(3)-x(5)-1(2)=x^2(0)
\\\\
3x^2-5x-2=0
\\\\
(3x+1)(x-2)=0
\\\\
x=\left\{-\dfrac{1}{3}, 2 \right\}
.\end{array}
