Quite simple.
You have a RG2xx guitar on your hands.
The trem on that one doesn't lock at the bridge, instead the strings go trough the bridge.
Do not cut the ball ends off because you won't be able to use the strings if you do.
If you have fine tuning and a locking nut on the guitar the trem in question is ILT1 or a derivative.
Nothing to do with a Floyd Rose trem, it just looks similar.
Just unscrew the locking nut and procede to change the strings one by one as you would on a normal guitar.
Be sure to use the same
gauge strings, otherwise it'll take you hours to tune up to pitch.
Remember to stretch your strings properly before you lock the nut.