\[(a - 3)(a + 2) \cdot x = a + 2\]
\[\ \ при\ a \neq 3;a \neq - 2:\]
\[x = \frac{a + 2}{(a - 3)(a + 2)} = \frac{1}{a - 3}.\]
\[при\ a = 3:\]
\[(3 - 3)(3 + 2)x = 3 + 2\]
\[0x = 5\]
\[нет\ корней.\]
\[при\ a = - 2:\]
\[( - 3 - 2)( - 2 + 2)x = - 2 + 2\]
\[0x = 0\]
\[x - любое\ число.\]