\[\boxed{\text{735.}\text{\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[ax - 2x = a^{3} - 2a^{2} - 9a + 18\]
\[x(a - 2) =\]
\[= a^{2}(a - 2) - 9(a - 2)\]
\[x(a - 2) = (a - 2)\left( a^{2} - 9 \right)\]
\[1.\ a = 2 \Longrightarrow x(2 - 2) =\]
\[= (2 - 2)\left( 2^{2} - 9 \right)\]
\[\ x \cdot 0 = 0 \cdot ( - 5)\]
\[\ 0 = 0\]
\[\ x - любое\ число.\]
\[2.\ a \neq 2:\]
\[x(a - 2) =\]
\[= (a - 2)\left( a^{2} - 9 \right)\ \ \ \ \ |\ :(a - 2)\]
\[\ x = a^{2} - 9.\ \]