\[\frac{(x + 2)\left( x^{2} - 64 \right)}{x^{2} + 15} \leq 0\]
\[x^{2} + 15 > 0;\]
\[(x + 2)(x + 8)(x - 8) \leq 0\]
\[(x + 8)(x + 2)(x - 8) \leq 0\]
\[x \leq - 8;\ - 2 \leq x \leq 8.\]