Welcome to the Forum
First of all, coins are not printed, they are minted or struck. Your right on your coin, it is just damage, value 25 cents.
If your referring to a " misprint" as an error, then you have to learn the minting process and what constitutes an error. An error can only occur during the striking of a coin so anything that happens after that is just damage. There are a limited number of things that can happen during the striking of a coin but there are countless things that can happen once the coin leaves the striking chamber. Things like dings, gouges, scratches, distorted letters, wear, flattened letters, discolouration etc. are just some of the things that can most of the time be defined as damage. For help in what a genuine error is, study some of the websites available such as "error-ref.com" to learn in distinguishing an error from damage. You are going to have to do your homework but after awhile it will come naturally and you will be able to see the differences for yourself.