my 2009 chevy cobalt is shaking while idleing

Check engine light flashing, or even on at all?

Standard or automatic? The torque converter clutch may be not releasing if it's an auto.

Tcc would kill the engine.

Hello Shewanda, I apologize for what you're experiencing with your 2009 Cobalt. Because I am not a certified technician, I am unable to diagnose your concern. If you would like for me to research your VIN to see if there are any recalls or special coverages open currently, I would be glad to do so. If so, private message me your VIN, name and current mileage at socialmedia@gm.com Attn: Vanessa in the subject line. I look forward to your reply. Vanessa GM Customer Service