-1000=5t(6.73-t)
$$\begin{array}{rll}
-1000&=&5t(6.73-t)\\
-200&=&t(6.73-t)\\
-200&=&6.73t-t^2\\
t^2-6.73t-200&=&0\\
t&=&\frac{6.73\pm\sqrt{6.73^2+4*1*200}}{2}
\end{array}$$
$${{\mathtt{t}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{6.73}}{\mathtt{\,\times\,}}{\mathtt{t}}{\mathtt{\,-\,}}{\mathtt{200}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{t}} = {\mathtt{\,-\,}}{\frac{\left({\sqrt{{\mathtt{8\,452\,929}}}}{\mathtt{\,-\,}}{\mathtt{673}}\right)}{{\mathtt{200}}}}\\
{\mathtt{t}} = {\frac{\left({\sqrt{{\mathtt{8\,452\,929}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{673}}\right)}{{\mathtt{200}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{t}} = -{\mathtt{11.171\: \!960\: \!652\: \!075\: \!797\: \!6}}\\
{\mathtt{t}} = {\mathtt{17.901\: \!960\: \!652\: \!075\: \!797\: \!6}}\\
\end{array} \right\}$$
.