Okay,with that A10-5700,and the FM2 Socket,I don't think there's any compatibility issue between the mobo and the 650.So I'm leaning towards the PSU problem,which can't be denied. Now you
open the case,and take a look at the PSU.You may see some voltage and power details on one of its sides.Like.... +3V,+5V,+12V.....And 17A,24A....etc etc....Check those numbers,and look for the one with
12V.Below that 12V,you'll see how much current that 12V rail carries...Like...17A,19A and so....Look for that number,and post the results...
If you don't see any such number,please try to get
at least a brand name and model of the PSU,which will be written on it.
If you are unable to find any of that as well,I'd say you put the 650 in the system,
get a friend's decent PSU and power up your system with that,to see if it works fine.If it does,get your PSU replaced some decent PSU.
Try these and post the results please...