Chevy trailblazer 2007 P0506 & P1400 what are the solutions for these codes

506 ? do you mean P0506 ? because there isn't a just 506 code .

The P1400 code is a heated catalyst so what is causing your fan not to work is either your temp sensor or a faulty wire somewhere running to the fan. Check the fuse or relays

I’m happy to assist further over the phone at https://www.6ya.com/expert/jeremy_677dced97ad9bddf

Problems with the intake manifold, a vacuum leak in the exhaust and proper gas recirculation can produce these codes. p1400 codes,

P1400 - Heated Catalyst Battery Voltage or Current too Low During Heating (Bank 1)

Take it back and tell the repair shop that they need to correct the issues that are not right.

Check for a restricted air cleaner, vacuum leaks, intake manifold leaks, exhaust leaks, to name a few things.

Go to Auto Zone ask the technician to run a computer scan and print out the results and the computer will tell you the meanings of the trouble codes.

P0506 - Idle Air Control (IAC) System RPM Lower Than Expected

What does that mean?
This P0506 code is one that's sometimes triggered on vehicles that have electronic throttle control. That is, they don't have a regular throttle cable from the accelerator pedal to the engine. They rely on sensors and electronics to control the throttle. In this case, the P0506 DTC (diagnostic trouble code) is triggered when the PCM (powertrain control module) detects an engine idle speed that is lower than the desired (pre-programmed) RPM.

Potential Symptoms: Most likely the only thing you'll notice is the idle speed is lower than normal so it will likely be rougher. There are potentially other symptoms as well. Of course, when trouble codes are set, the MIL (malfunction indicator lamp, a.k.a. the check engine light) illuminates.

Causes: A P0506 DTC trouble code may be caused by one or more of the following:
* A vacuum leak
* An air restriction in the intake air path or exhuast
* A faulty positive crankcase ventilation (PCV) valve
* Damaged/failed/dirty throttle body
* Internal engine problem
* Failed PCM

Possible Solutions:
This DTC is more of an informational code, so if there are any other codes set, diagnose them first. If there are no other codes, inspect for vacuum leaks, restrictions, and damage. If there are no symptoms other than the DTC itself, just clear the code and see whether it returns.

Other related DTCs: P0507

P0506 - Idle Air Control (IAC) System RPM Lower Than Expected

What does that mean?
This P0506 code is one that's sometimes triggered on vehicles that have electronic throttle control. That is, they don't have a regular throttle cable from the accelerator pedal to the engine. They rely on sensors and electronics to control the throttle. In this case, the P0506 DTC (diagnostic trouble code) is triggered when the PCM (powertrain control module) detects an engine idle speed that is lower than the desired (pre-programmed) RPM.

Potential Symptoms
Most likely the only thing you'll notice is the idle speed is lower than normal so it will likely be rougher. There are potentially other symptoms as well. Of course, when trouble codes are set, the MIL (malfunction indicator lamp, a.k.a. the check engine light) illuminates.

Causes
A P0506 DTC trouble code may be caused by one or more of the following:
* A vacuum leak
* An air restriction in the intake air path or exhuast
* A faulty positive crankcase ventilation (PCV) valve
* Damaged/failed/dirty throttle body
* Internal engine problem
* Failed PCM

Possible Solutions
This DTC is more of an informational code, so if there are any other codes set, diagnose them first. If there are no other codes, inspect for vacuum leaks, restrictions, and damage. If there are no symptoms other than the DTC itself, just clear the code and see whether it returns.

The code indicates an issue with the Throttle Actuator control. This is a little motor on the throttle body that opens the throttle plates at idle. That control motor may be bad and thus, causing a low idle.

I hope this helps.