Generally what ends up happening when you try to add too many fish at once is that, as said, a nitrite, nitrate and ammonia spike(s) occur. This is because the bacterial cultrue is not yet matured enough to handle this many fish just like that *snap*, if you have any spare tanks (say a couple 10 gallons) you could do a 20gallon water change on the 75gallon tank (use the 20gallons to fill up the 2 10's -use some matured filter media aswell), then set up the 2 10gallon tanks and wait for about a week or so adding about 5 Cardinals ever 2-3 days. This should atleast allow the tank to catch up and you should be ok.