A true statement that sounds very wrong.
If another individual or group is bothering you, you could kill them. Kill everyone in the world and noone would bother you ever again. In fact, you could put a bullet in your own head. Then you'd be carefree.
Mountain in your way? Blow it up.
People just sound dumb and naive when they say "Violence never solves anything." Violence solves just about any problem in signifigant amounts. However, it solves it by subtraction. Instead of adding good, it simply subtracts bad. Subtract enough and eventually nothing exists, therefore there are no problems.
Violence solves anything. Its just that usually its not a good way to do it.