Your / (root) directory is full. Not able to move to other directory.
But /home directory is avail 429GB
[root@bns ~]# df -h
Filesystem Size Used Avail Use% Mounted on
/dev/mapper/vg_bachngocsach-lv_root
50G 49G 100% /
tmpfs 3.9G 0 3.9G 0% /dev/shm
/dev/sda1 477M 73M 379M 17% /boot
/dev/mapper/vg_bachngocsach-lv_home
492G 39G 429G 9% /home
Move mysql database to other path?