the problem is solved.
I have uninstalled and reinstalled NVidia driver 4 times. I uninstalled it everytime using Device manager as it was shown in the picture. It didn't worked.
But then I have tried something different. I went to 'control panel', 'uninstall a program' and from there I have uninstalled 'NVidia Graphics Driver XXX.XX', which automatically uninstalled 'NVidia 3D Vision Driver XXX.XX'. Restarted computer, installed the newest version of NVidia driver and guess what? Bandicam somehow started. So, maybe try suggesting this steps to others who have problems opening bdcam, maybe it will help them too.
Thanks for your time, have a nice day
PS: Attached screeshot of control panel and what to do.