You will have to unlock the card Armageddon from the games card store before you can obtain this achievement. The store loads up 5 random cards every time you reload the store and only 2 of them are from the base set (which is where armageddon is)
Once you have Armageddon you will have to build a deck including both Armageddon and either creatures that can survive the damage or spells that can negate the damage. There are plenty of creatures immune to magic damage so these would be easiest. All you have to do is cast Armageddon with one of these creatures that don't take magic damage in play or cast a spell that negates magic damage before you cast armageddon. As long as one of your creatures survives, the achievement will unlock at the END of the match (not during the match)
This can only be obtained in an online ranked duel and the online scene for this game is totally dead so you will most likely have to boost this with a friend.