Error 80 is a popular generic error code which means some electrical fault on the motherboard, which is incredibly vague -- though not to your fault. This would likely require the main board being replaced, which Canon no longer sources, though may be available through other sources like AliExpress or eBay.

Are you able to boot into safe mod (assuming you're running windows), this could rule out driver errors. If the issue persists, it could be due to a faulty display or ribbon connector. The Lenovo official service guide is attached to this page, which you should consult, if you were to replace either of the parts. If you have any questions, let me know.

Hello David,

I'm unfamiliar with the T510 as I've never opened one up. I've attached the link to Lenovo's own hardware maintenance manual in the hopes this clarifies your question.

ThinkPad T510, T510i, and W510 Hardware Maintenance Manual (lenovo.com)

Let me know if you have any other questions, I'd be glad to try my best to answer them.