Why can't you find an answer as to why your 2005 Chevy Malibu Classic won't start?
I have a problem with a Ford Focus once that left us stranded in the supermarket parking lot. It would turn over but would start. Come to find out the key we were using (had the chip in it) went bad somehow. We got the other key from home and it started fine. Does this vehicle have a antitheft deterent system in it? Try this and maybe contacting the service center at the local Chevy dealership for advice. Maybe you anti theft system is malfuncting. I hope this helps you. Worth a shot. not enuff information in your question to diagnose anything about why your engine will not start