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Sorry. I thought that it was obvious: you should replace the laser too. In fact, if you have another broken laser with good lens coils, you can replace the lens only by unsoldering the flexible conductor cable and releasing the lens support from the screw.
Just to update the question. I replaced the BA5815FM and the Ps2 started working again,
Tnx again for the help, anybody!
Chaser: and did you replace the laser aswell or leave the original ? I ask just beacuse I have some Ps2's here with the same problem as yours, and I did not dare to replace the BA as many guys said the laser shoud be replaced aswell, and that would cost too much. (I'd rather buy a new PS2 not to replace half of it just to have a repaired one) If that works with the changing of BA, then I'd go on...
I'm pretty sure that replacing the laser as well as the ba5815 is the pretty choice. Anyway, the guy who asked me to solve his problem, told me to replace only the ba5815 (that's a cheap solution) to see if it can go on for much time, and if (i say: when) it gets burned again, he will think about it.
Chaser: probably that is also the choice of mine for now. later when the laser totally gets burned, I'll replace both (if the BA needed at all). We'll see. This forum rules anyway. Thanks for the info shared, helped a lot.