Hello and welcome to Bleepingcomputer.
They could be refering to your power connecter needs to be soldered better to the power module board inside the laptop, but I am merely guessing that is what they could be refering to.
What is the age of your laptop battery?
Sometimes when the battery is nearing the end of its life, issues like this tend to start happening with laptops. It is something you could consider as the possible cause.
Does this problem only seem to happen when you put the laptop into hibernate mode and then try to come back out of it, or does this happen every time you start the laptop up as well?