Inverse third order equation

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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[tex]_{0}[/tex]+[tex]\frac{a}{x}[/tex]+[tex]\frac{b}{x^{2}}[/tex]+[tex]\frac{c}{x^{3}}[/tex]

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

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