\[10t² + 2t = 0\]
\[2t(5t + 1) = 0\]
\[2t = 0,\ \ 5t + 1 = 0\]
\[t = 0\ \ \ \ \ \ \ \ \ \ \ \ t = - \frac{1}{5} = - 0,2\]
\[Ответ:t = 0;t = - 0,2.\]