could I get some assistance solving this equation? I'm afraid I'm just not getting anywhere with it

$\displaystyle secx + cosx = -2$

using identities, I can turn that into

$\displaystyle \frac{1}{cosx} + cosx = -2$

and from there

$\displaystyle \frac{1+cos^2x}{cosx} = -2$

unfortunately I peter out there, assuming I didn't make some mistake in that process. Any pointers would be appreciated.