600 watt tent ventilation - help???

I have a 5'x5'x7'6" grow tent. I will be using an air cooled 6" 600 watt system. I will have a room air conditioner to cool the room the tent is in. I will use a 450 cfm for exhausting the reflector. Should I hook the filter up to the light ducting and run off of one fan or use a seperate fan? Can I exhaust the hot air from tent back into the room it is in because I have the room a/c ? My temps will be very important as it is hot here. All help and advice is greatly appreciated.
 
Top