\[\ 9x² + 24x + 16 = 0\]
\[D = b^{2} - 4ac = 576 - 4 \cdot 9 \cdot 16 =\]
\[= 576 - 576 = 0\]
\[x = \frac{- 24}{18} = - \frac{4}{3} = - 1\frac{1}{3}\]
\[Ответ:x = - 1\frac{1}{3}.\]