# Inverse third order equation

I have a question about solving a formula.

I have a set of data which I have fit to an inverse third order equation, if I swap the axes (use X as Y and vise versa), R2 suffers dramatically but I would like to calculate both Y and X values independantly. I am wondering what the solution for the following equation is when cast to calculate X. My algebra is a little rusty and I am not sure where to start.

y = y$$_{0}$$+$$\frac{a}{x}$$+$$\frac{b}{x^{2}}$$+$$\frac{c}{x^{3}}$$

Assuming I have values for a,b,c, and yo, how do I solve this for x?