Align boxed equation to the left margin

I am attempting to left align a boxed equation but I failed. Can you help me align this boxed equation to the left margin:? Thank you!

CODE

\documentclass{article}
\usepackage{mathtools}
\usepackage{multicol}
\usepackage{amssymb,amsthm}
\usepackage{empheq}

\begin{document}

\begin{flalign*}
\boxed{
\begin{aligned}
\omega_{r}= & \omega_{m}\sqrt{1-2\zeta^{2}}\\
\end{aligned}}
\end{flalign*}

\end{document}


A solution with the fleqn environment from nccmath:

\documentclass{article}
\usepackage{empheq, nccmath}
\usepackage[showframe]{geometry}
\usepackage{multicol}
\usepackage{amssymb,amsthm}
\usepackage{empheq}

\begin{document}

\begin{fleqn}
\begin{align*}
\boxed{ \begin{aligned}
\omega_{r}={} & \omega_{m}\sqrt{1-2\zeta^{2}}\\
\end{aligned} }
\end{align*}
\end{fleqn}

\end{document}


Just add some dummy alignment points, to make flalign do its work on expanding spaces between columns.

\documentclass{article}
\usepackage{amsmath}

\usepackage{lipsum} % for context

\begin{document}

\lipsum*[1]
\begin{flalign*}
\boxed{
\begin{aligned}
\omega_{r}= & \omega_{m}\sqrt{1-2\zeta^{2}}\\

I reduced the number of packages to the bare minimum needed (except for lipsum that provides the mock text).