ERROR 1698 (28000): Access denied for user 'root'@'localhost'

Some systems like Ubuntu, mysql is using by default the UNIX auth_socket plugin.

Basically means that: db_users using it, will be "auth" by the system user credentias. You can see if your root user is set up like this by doing the following:

$ sudo mysql -u root # I had to use "sudo" since is new installation

mysql> USE mysql;
mysql> SELECT User, Host, plugin FROM mysql.user;

+------------------+-----------------------+
| User             | plugin                |
+------------------+-----------------------+
| root             | auth_socket           |
| mysql.sys        | mysql_native_password |
| debian-sys-maint | mysql_native_password |
+------------------+-----------------------+

As you can see in the query, the root user is using the auth_socket plugin

There are 2 ways to solve this:

1. You can set the root user to use the mysql_native_password plugin
2. You can create a new db_user with you system_user (recommended)

Option 1:

$ sudo mysql -u root # I had to use "sudo" since is new installation

mysql> USE mysql;
mysql> UPDATE user SET plugin='mysql_native_password' WHERE User='root';
mysql> FLUSH PRIVILEGES;
mysql> exit;

$ service mysql restart

Option 2: (replace YOUR_SYSTEM_USER with the username you have)

$ sudo mysql -u root # I had to use "sudo" since is new installation

mysql> USE mysql;
mysql> CREATE USER 'YOUR_SYSTEM_USER'@'localhost' IDENTIFIED BY '';
mysql> GRANT ALL PRIVILEGES ON *.* TO 'YOUR_SYSTEM_USER'@'localhost';
mysql> UPDATE user SET plugin='auth_socket' WHERE User='YOUR_SYSTEM_USER';
mysql> FLUSH PRIVILEGES;
mysql> exit;

$ service mysql restart

Remember that if you use option #2 you'll have to connect to mysql as your system username (mysql -u YOUR_SYSTEM_USER)

Note: On some systems (e.g., Debian stretch) 'auth_socket' plugin is called 'unix_socket', so the corresponding SQL command should be: UPDATE user SET plugin='unix_socket' WHERE User='YOUR_SYSTEM_USER';

Update: from @andy's comment seems that mysql 8.x.x updated/replaced the auth_socket for caching_sha2_password I don't have a system setup with mysql 8.x.x to test this, however the steps above should help you to understand the issue. Here's the reply:

One change as of MySQL 8.0.4 is that the new default authentication plugin is 'caching_sha2_password'. The new 'YOUR_SYSTEM_USER' will have this auth plugin and you can login from the bash shell now with "mysql -u YOUR_SYSTEM_USER -p" and provide the password for this user on the prompt. No need for the "UPDATE user SET plugin" step. For the 8.0.4 default auth plugin update see, https://mysqlserverteam.com/mysql-8-0-4-new-default-authentication-plugin-caching_sha2_password/