I had one of these laptops (except it was an AOA150 but it was still a ZG5). I tried running Xubuntu 15.04 on one a long time ago, but it proved to be very slow and unresponsive most of the time, and that is one of the lighter distributions available - though said computer still holds a lot of memories for me because it was my first laptop and such...
It's probably not really worth investing into it, it's an early netbook and has been superseded by much better hardware by now which won't be much, sadly.
