Welcome to the forums.
Do not be alarmed, cloudiness to a different degree is a normal process of any (it seems) new tank. I had it in all of mine. If it isn't greenish (which can hint on an algae problem) it is most probably a bacterial bloom that is typical for a normal cycling. I also pretty much sure you are in the middle of the cycle and not done yet due to the fact that your nitrates are 0. They must show some reading (about 20 and higher) while the ammonia and nitrites are 0 for the tank to be declared cycled.
Jcushing's suggestion about adding fresh carbon is a good one. You can also try one of those water clarifying additions. However, it is a rather an aesthetic treatment, providing temporary solution.
Everything will balance itself soon, just wait and see.
Cut on food, though, and step up water changes, as suggested. It is always great while cycling a new tank.
125g: Cyphotilapia frontosa
72g BF: Labidochromis caeruleus, Iodotropheus sprengerae, Pseudotropheus sp. "Acei" (Msuli), Pseudotropheus cyaneorhabdos (Maingano), Metriaclima estherae
"The lyfe so short, the craft so long to lerne..." Geoffrey Chaucer
"I wouldn't carry the son-of-a-bitch if it wasn't dangerous." Texas Ranger Charlie Miller