Why my truck won't start and lights still comes on and the battery is charged up

What is your question?

Lights still comes dashboard lights still comes on the radio works at times but the lights goes in and out on the radio It does over heat I have a new water pump just haven't been put on yet The battery has been charged and it still wouldn't start.

How long has your 2007 Chevrolet Equinox had this problem?

A few days ago