\[7x^{2} + 5x = 0\]
\[x(7x + 5) = 0\]
\[x = 0;\ \ \ \ 7x + 5 = 0\]
\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 7x = - 5\]
\[\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - \frac{5}{7}\]
\[Ответ:x = - \frac{5}{7};\ \ x = 0.\]