\[\frac{3x^{2} - 5x - 2}{2 - x} = 0\]
\[ОДЗ:\ \ 2 - x \neq 0\]
\[\ \ \ \ \ \ \ \ \ \ \ \ \Longrightarrow x \neq 2\]
\[3x^{2} - 5x - 2 = 0\]
\[D = b^{2} - 4ac =\]
\[= 25 - 4 \cdot 3 \cdot ( - 2) =\]
\[= 25 + 24 = 49\]
\[x_{1} = \frac{5 + 7}{6} = \frac{12}{6} =\]
\[= 2\ (не\ подходит\ по\ ОДЗ)\]
\[x_{2} = \frac{5 - 7}{6} = - \frac{2}{6} = - \frac{1}{3}.\]
\[Ответ:x = - \frac{1}{3}.\]