What is a MySQL Database Server?
MySQL is a relational database management system that uses the Structured Query Language (SQL) to manage databases. A typical use for a MySQL Database server is the storage of information for the generation of dynamic webpages.
How do I install a MYSQL Database Server?
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Install the mysql-server package with Synaptic(See How do I use Synaptic to install packages?)
Miscellaneous - Text Based > mysql-server
Next, set the MYSQL root password:
mysqladmin -u root password db_user_password