You have Intel HDA sound
and it is very probable that the standard solution
for all kinds of problems with HDA works
You change model to what ever you have or auto or some more exotic model like in this topic
You may have to try many different "models" to get it to work - brand or model ...
Note the link to a post in the Ubuntu forums for a list of "models"
My distribution is a little different because I had to modify a file called alsa-base.conf instead of alsa-base. Also, my chipset is the ICH10, not the ICH8 as described in the post. Has this solution been verified to work with ICH10?
The "standard solution" did not work. I tried about 5 different models that seemed similar, in addition to "auto", and there was no effect.