This isn't very hard, but does take some patience as you have to play through 50 levels of Survival mode.
After each round in Survival mode, it "Locks" the pieces that you were unable to eliminate during that round. You are unable to manipulate those locked pieces directly and can only remove them by moving other pieces next to them.
My tip for this is to ALWAYS concentrate on getting rid of the locked pieces first. Letting the locked pieces build up is what will kill you. If you keep the locked pieces under control you will get this achievement pretty easily after lasting 50 rounds.
I got it on my first try, and I don't think I'm particularly good at this game