\documentclass[preview]{standalone}
\usepackage{varwidth}
\usepackage[utf8x]{inputenc}
\usepackage{amsmath, amssymb, graphics, setspace}

\begin{document}
\begin{varwidth}{50in}
  \begin{equation}
    \omega_i^{\nu} = 
    (\nu - 1) \Delta \omega_i
    {\rm ~~and~~} \Delta \omega_i = \frac{\omega_i}{Q-1}
  , \nonumber
  \end{equation}
\end{varwidth}
\end{document}
