Cannot Set Root Password MySQL CentOS 6 - mysql

Question

Overview
Hi! I'm new to Linux, but I was able to get MySQL installed and running on several VPS; however, I recently reset my VPS by reinstalling CentOS 6. I've run into a problem regarding MySQL where it won't let me log in or set a password. I've never run into this issue before, so I'm hoping for someone to see if they can help me out.
Steps that replicated the issue
yum install wget
wget http://dev.mysql.com/get/mysql57-community-release-el6-8.noarch.rpm
sudo yum localinstall mysql57-community-release-el6-8.noarch.rpm
yum install mysql mysql-server
/etc/init.d/mysqld start
mysqladmin -u root -p "setpasswordhere"
At the last step it won't let me and tells me to input the current root password, but I was never prompted to set a password in the first case. I've reinstalled the VPS 2-3 times now and done the same procedure that didn't cause me the problems in the past. Albeit reinstalling the entire VPS isn't the greatest thing to do, but in times where I'm completely lost and new to something, reinstalling and starting from scratch only takes about 5-10 minutes.
Research:
I followed some steps for installing MySQL here: https://dev.mysql.com/doc/mysql-repo-excerpt/5.6/en/linux-installation-yum-repo.html
The error message is:
mysqladmin: connect to server at 'localhost' failed
error: 'Access denied for user 'root'#'localhost' (using password: NO)'
Or
mysqladmin: connect to server at 'localhost' failed
error: 'Access denied for user 'root'#'localhost' (using password: YES)'
So obviously a password is set here, but I'm never prompted to create one in the first place.
Console Output:
[root#vps83299 ~]# mysqladmin -u root -p ""
Enter password:
mysqladmin: connect to server at 'localhost' failed
error: 'Access denied for user 'root'#'localhost' (using password: NO)'
[root#vps83299 ~]#
Error when I get when following this instruction: https://ubuntu.flowconsult.at/en/mysql-set-change-reset-root-password/
mysql> update user set password=PASSWORD("newpass") where User='root';
ERROR 1054 (42S22): Unknown column 'password' in 'field list'

Answer 1

For acess mysql, use:
mysqladmin -uroot -psetpasswordhere
or
mysql -uroot -psetpasswordhere

Answer 2

RECOVER MYSQL ROOT PASSWORD( for linux users)
#
Login to root user and run step1 and 2
Step 1# /etc/init.d/mysql stop
Step 2# mysqld_safe --skip-grant-tables &
Output : Starting mysqld daemon with databases from /var/lib/mysql
mysqld_safe[6025]: startedStep # 3: Connect to mysql server using mysql client:
Keep this running................
Step 3
Login to new terminal (with root user)
mysql -u root
mysql> use mysql;
mysql> update user set password=PASSWORD('NEW-ROOT-PASSWORD') where User='root';
mysql> flush privileges;
mysql> quit
Step 4 # Stop MySQL Server:
/etc/init.d/mysql stop
Step 5 # /etc/init.d/mysql start
mysql -u root -pNEWPASSWORD
--------------------- completed----------