So as part of a night spent with friends at a local drinking establishment, my girlfriend proposed the following equation (oh, we do have fun):

```
x squared +3 x + 17
--------------- = --------
7 6
```

Now, she came up with this equation having the answer already. The answer is :

x=5

The question is, what method do you use to solve it? I remember little to nothing of post-Geometry math, so be gentle, please.