Welcome to the forum
What model Dell do you have?
What model is the DVD drive inside?
What software are you using to burn your CDs?
What speed are you burning your CDs at?
What brand are the CDs you're trying to burn to?
It might be worth trying a few things before considering getting your Dell serviced, if you haven't tried these already:
Try different burning software.
Lower the burn speed: I'd recommend 16x for audio.
Try a better brand of disc.
Additionally, if you're using Nero to burn, then it should prompt you to save a log file when the burn fails - if you could post that, it would help pin the source of the problem down.