Trying to have an equals sign flush left with the margin, while centring the rest of the equation, found the best solution here, but it seems like there would be a better way to do it, given that the symbol is in the same place every time.
The solution I have:
\begin{align*}
(s + 6.72 + 9.95 j)(s + 6.72 - 9.95 j) \refstepcounter{equation}\tag*{\llap{\makebox[\linewidth][l]{$=$}}}
\end{align*}