Re: Ibanez 1420F trem problem !
Sorry to hear about your problem, it can easily kill the fun of a new guitar.
The problem can come from many things, and it is impossible to say from what without examin the guitar.
Most common is that the knife edges on the trem are in bad condition (or the bolts they are hanging against).
It can be that the trem are, for example, set low on the treble side and high on the bas side (or the other way), that the sideway angle of the trem are to big.
It can be that the neck are moving in the neck socket and not are returning back it pitch the way it should.
It cab be that the trem springs, or the block, are touching something that makes it hard for it to return to zero.
It can be that the nut on the neck are lose, or not holding the strings securely.
And on and on.
Take it to a tech and have him look if you feel insecure.