\[49x² + 14x + 1 > 0\]
\[(7x + 1)^{2} > 0\]
\[x \neq - \frac{1}{7}\]
\[Ответ:\ \left( - \infty;\ - \frac{1}{7} \right) \cup \left( \frac{1}{7};\ + \infty \right).\]