First how do you know if the chromebook has a TPM error?
If your chromebook automatically boots into the "recovery mode" (or the screen with the Yellow exclamation point) hit "tab" on your keyboard. Look next to recovery_reason in the second line of text. If you see "TPM Error in read-only firmware", you will need to apply the fix below.
The TPM fix:
You may need to repeat steps (1-3) approx. 20-25 times to clear the TPM error but it usually works within 6-10 attempts.
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Power on the Chromebook and leave it on for approx. 30 sec
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Then turn it off by holding the "power" button down for approx. 7 seconds
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When the Chromebook is off, wait a couple seconds and push the power button once to turn back on
Remember, you will need to repeat steps 1-3. You will know you have successfully cleared the TPM error when the chromebook boots up normally and/or returns back to the login screen.