Check the CoolSolutions guide for installing LAMP. Skip apache and php part.
http://www.novell.com/coolsolutions/feature/595.html
Install Mysql and mysql-client (and other that yast will offer) .
Switch to root and create basic databases needed for MySQL
Code:
mysql_install_db --user=mysql
Check if /var/lib/mysql/ has right permissions.
Ownership :
user :mysql
group :mysql
Owner and group right should be : can view and modify
Go to Yast runlevel editor.
Scroll down to MySql
Enable the service and restart it.