10.2. Find the smallest solution of the inequality

$$
\frac{-\log _{2}(105+2 x \sqrt{x+19})^{3}+\left|\log _{2} \frac{105+2 x \sqrt{x+19}}{\left(x^{2}+x+3\right)^{4}}\right|}{9 \log _{5}(76+2 x \sqrt{x+19})-4 \log _{2}(105+2 x \sqrt{x+19})} \geqslant 0
$$
Answer: $\frac{-21+\sqrt{33}}{2} \approx-7.63$.