Dell Precision T 5600 time and date problem

I send You photo with battery on my T5600 motherboard. How can I  remove battery?

Push a bit from the top to the bottom, where you can see hole on the top. Then battery would be pulled towards you. Mind the bottom part of the plastic tray.

Take a battery holding top part of it and then, pull gently to the top.

Placing new one will be just opposite.

Precision T5600 Owner's Manual.pdf 

Thank You. But i have other socket on battery than in T5600 manual. I placed it on photo.

It looks (from your picture) this is T5600 motherboard:

With that socket, I've seen the instruction before to use a very small screwdriver to get in between one of the tabs on top and carefully pry it out that way without breaking the tab.

This is exactly what you need to move by slightly undermining the battery where there is a gap (vertical, in a place like after opening the computer cover on the left, from the side of the "Service_Mode" print), then the battery from the spring contact will jump out.

We place the new battery in the socket by hiding it in a bookmark and slightly pressing it until it is placed snapping into the socket.

Please issue a summary "Accept a Solution", because each interlocutor has contributed to the success.

Thank you very much for all the answers. The reason for the problem of wrong date and time settings in the form of CMOS CR 2032 battery replacement was rightly determined by fireberd. The battery is removed similarly to what CeBeeR posted. The placement of the motherboard with pre- and post-assembly recommendations in the form included in the T 5600 manual was sent by bradthetechnut. The specific approach to my nest was also explained by bradthetechnut. I posted a photo of the T 5600 socket in the photo.

Considering the problem replacing the battery, the best option would appear taking it to a repair shop to have it replaced.  Probably the shop's minimum charge.

I'm glad it's working/worked out.

You can click on as many "Accept as Solution" as you like.

I'm well aware of problems bad batteries can cause also including boot and boot loop problems.