If it is a bad egg obtained from cheating with an action replay then you should download a cheat that replaces the first member of your party with another pokemon. i.e. get amazing blaziken that replaces the first member of your party. if you don't have code manager then you should just Google this: get rid of bad egg code for HG AR tell me how it works!
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use an action replay it will eventually give you a bad egg. I don't recommend it though being as a bad egg hatching will glitch your game.
The best way to get rid of a bad egg is if you have 2 ds's, another ds Pokemon game that you hate and trade the bad egg to that game and there you have it. This is the best way to get rid of a bad egg and P.S. you cannot give a poke'mon an egg.
You should never attempt to hatch a bad egg. Hatching a bed egg, may lead to damaging your save file, or even the game as a whole.
You can remove a bad egg its easy you need a action replay and the cloning Pokemon code then you clone one of your Pokemon with using the bad egg then its gone forever woo ho lol that's how to get rid of a bad egg
Transfer in a pokémon that is holding a Lucky Egg.