No worries, … I have a Dell Studio 1537, which is in essence the same laptop, except a smaller 15" screen.
Sound can be made to work easily. I note this :
Which confirms your laptop has a Codec: IDT 92HD73C1X5 and the Kernel release: 2.6.27.19-3.2-default
I also note this:
which is the stock alsa, built against the kernel version that comes with 11.1. But there was a kernel update last week, that broke the headset sound. To address such possibly problems, as a volunteer I maintain this wiki page Alsa-update - openSUSE to help users whose sound gets broken by kernel updates. BUT there is more to this story …
Ohh yee of little faith … 
… I think this can be made to work … 
First, I note from your mixer this:[INDENT]!!Amixer output
!!-------------
!!-------Mixer controls for card 0 [Intel]
Card hw:0 ‘Intel’/‘HDA Intel at 0xfc400000 irq 22’
Mixer name : ‘IDT 92HD73C1X5’
Simple mixer control ‘Analog Loopback’,0
Mono: Playback on]
Simple mixer control ‘Analog Loopback’,1
Mono: Playback on]
Simple mixer control ‘Analog Loopback’,2
Mono: Playback on]
[/INDENT]I believe at least two of these should be off, … possibly all 3. I also think this is a mute point, as these controls are removed in the 1.0.19 update of alsa.
Now whats important is the 2.6.27.19-3.2 update of the kernel that was released about a week ago, broke the sound on this laptop. Anticipating this, the alsa developer released an update to alsa for the 2.6.27.19-3.2 kernel, fixing the sound, but the automute on the laptop’s speakers did not work properly when a users headsets were plugged in. So I wrote a bug report on that, and within a FEW DAYS a fix was released. A FEW DAYS!! Thats an incredibly good turn around. IMHO mistakes happen, and having a fix in a few days is not something to be too upset about.
Bug report is here: https://bugzilla.novell.com/show_bug.cgi?id=482052
Anyway, to get your sound working, opening a gnome terminal or a kde konsole, and with your PC connected to the internet, type “su” (no quotes - enter root password when prompted) and then copy and paste the following 6 zypper commands into the terminal/konsole, in sequence, executing them one at a time, to update to the latest git 1.0.19 of alsa:
zypper ar http://download.opensuse.org/repositories/multimedia:/audio/openSUSE_11.1/ multimedia
zypper install alsa alsa-oss alsa-oss-32bit alsa-plugins alsa-plugins-pulse alsa-utils alsa-tools alsa-firmware libasound2
zypper rr multimedia
zypper ar http://download.opensuse.org/repositories/multimedia:/audio:/KMP/openSUSE_11.1_Update/ multimedia
zypper install alsa-driver-kmp-default
zypper rr multimedia
then restart your PC, and test your sound. Check your mixer. You may need to go to YaST > Hardware > Sound > Other > Test (although that may crash) or to YaST > Hardware > Sound > Other > Volume (that “volume” crashed on my PC, per the bug report). Also in your mixer move up PCM, Master Volume and Speaker volume to a very very high setting (I forgot initially to move up ‘speaker volume’ and my volume setting was very low).
And have faith next time.
… You are only a bug report away from getting a fix, and often other volunteers like myself, monitor this forum, and also the Dell Linux mailing list, looking to help users struggling with sound on openSUSE. 
Let me know if that does not work.