Q: iPhone 6 restoring/update bug iOS9.2?

So this has to have happened to quite some people .. 2 weeks ago, my girlfriend decides to update her iPhone6, once going through the process on iTunes, her iPhone then gets stuck on the connect to iTunes screen and it fails to update. After multiples tries (maybe like 5+ times) her phone is updated and restored. But once her phone dies, up comes the connect to iTunes screen again.

For ME, I was still on iOS8.1.2 and she told me to update my phone. Using my OWN laptop, I updated iTunes to the latest iOS, connected my iPhone6, backed it up, and restored/updated it. Same. Thing. Happened. I'm stuck on the connect to iTunes screen and everytime I try to restore and update it to get it to work again, it gives me random error messages telling me different number of unknown errors. (4005) (17) (Blank)

Anyone can relate and have a fix to this?