The battery in my 05 Trailblazer went dead due to stereo being left on. After being charged, the car drove fine until suddenly shutting off at a stopsign. It shut off again as I was slowing down to turn. The check gauges light comes on before it dies. The RPMs go from 1000 to 500 a few times, then to zero and it shuts off. The heater being on makes a difference. Does anyone know how to fix this? Or why the battery dying would cause this? .