2003 chevy trailblazer hazard warning lights will

First you need to have EBCM - electronic brake control module check for DTC'S - diagnostic trouble code's . If the light is on there is a code stored . I think most part stores can do this and for free . After you find out what code is stored , looking up that code in service repair information for diagnostic trouble shooting chart would be next step . There are a few codes too.
DTC C0035 or C0040
DTC C0045 or C0050
DTC C0110
DTC C0131
DTC C0161
DTC C0186
DTC C0196
DTC C0201
DTC C0240
DTC C0241 or P0856
DTC C0244 or P1689
DTC C0245
DTC C0283
DTC C0287
DTC C0290 or C0292
DTC C0455
DTC C0550
DTC C0558

Find the code do the diagnostic's , fix the problem , wiring issue's , a sensor , bad module ,what ever it is . The light will go out then . Here is a sample of code discription .
• DTC C0035 Left Front Wheel Speed Sensor Circuit
• DTC C0040 Right Front Wheel Speed Sensor Circuit

The turn/hazard flasher module is probably bad .
Removal Procedure

1. Remove the left closeout/insulator panel. Refer to Instrument Panel Insulator Panel Replacement - Left Side in Instrument Panel, Gages and Console.
   
   
2. 
3. Remove the flasher retaining bracket from the insulator panel.
4. Disconnect the flasher from the electrical connector.
5. Remove the flasher from the vehicle.

Turn Signal/Hazard Flasher Module
Behind the I/P near the headlamp switch

Change the switch. These are actually computers. the runs the turnsignal flasher s also.

Check for a bad switch

no remove lower cover only. good way to find is trun on signal and listen for clicking,hope this helps,note there are two one for signals and the other for hazards.

first check all fuses then under hood check all fusible links

All warning lights flashing on dash of my 2002 chevy trailblazer. Runs fine all gagues go dark and turn back on every now and then. Also the gagues all go to the right or stick half way like I am idling at 5000 and going at a speed of 60mph when I am sitting still. I am thinking it has something to do with my computer because the rest of the truck is working just fine.

It may not be the flasher unit at all... it might simply be wiring/connectors

Replace the hazard switch, It has the turn signal flasher built in to it.