In summary, there has been improvement in the support for this hardware, but still does not work at its full capacity.
Compared to Debian 8, I could log in to GNOME 3, but the system still freezes when using applications.
The MATE desktop still works better, and does not freeze anymore.
I couldn't use Debian with GNOME 3 because the screen always displays weird artifacts, and freezes in the login screen. I decided to reinstall Debian and chose MATE as the desktop environment, which is less graphic-intensive than GNOME 3, and the system is usable in this way. However, there are occasional freezes.
Even though I can use the system with MATE, I can't use applications such as Blender, SuperTux Kart, and other 3D applications. Nor can I use 3D in the Web browser. These things, however, are possible using the same video card on a Windows machine.
In summary, your computing experience will be frustrating using this video card.
The user brleoal reports Crash and freeze with GeForce 6150SE with nouveau driver, and adds:
"I've switched to Trisquel 7.0. When I login, the system crashes (no keyboard, no mouse pointer and my screen just show garble. I looked to dmesg this: dmesg:[ 68.627296] nouveau E[PBUS][0000:00:0d.0] MMIO write of x00820001 FAULT at 0x00b000 My card: 00:0d.0 VGA compatible controller: NVIDIA Corporation C61 [GeForce 6150SE nForce 430](rev a2)."
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