\[5x² + 9x = 0\]
\[x(5x + 9) = 0\]
\[x = 0\ \ \ \ \ \ \ \ \ \ 5x + 9 = 0\]
\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = - 9\]
\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - \frac{9}{5} = - 1\frac{4}{5}\]
\[Ответ:x = 0;\ x = - 1,8.\]