\[2x + 8x^{2} = 0\]
\[2x(1 + 4x) = 0\]
\[1)\ 2x = 0\]
\[x = 0.\]
\[2)\ 1 + 4x = 0\]
\[x = - \frac{1}{4}.\]
\[Ответ:x = 0;\ \ x = \frac{1}{4}.\]