\[\frac{- 24x - 4 + 27x^{2} + 18x + 3}{(3x + 1)^{2}} \leq 0\]
\[\frac{27x^{2} - 6x - 1}{(3x + 1)^{2}} \leq 0\]
\[\frac{27 \cdot \left( x - \frac{1}{3} \right)\left( x + \frac{1}{9} \right)}{9 \cdot \left( x + \frac{1}{3} \right)^{2}} \leq 0\]
\[Ответ:\left\lbrack - \frac{1}{9};\ \frac{1}{3} \right\rbrack.\]