How to change root PASSWORD in MySQL in terminal

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  service mysql stop
  service mysql status
  mysqld_safe --skip-grant-tables &
  mysql -u root

mysql> SHOW DATABASES;
mysql> use mysql;
mysql> update user set password=PASSWORD("yourverystrongpassword") where user='root';
mysql> flush privileges;

 service mysql restart
 service mysql status
 mysql -u root -p