This is paddy_solver and lemme ask a favour from you if i would start to resolve your problem plz donot consult nybody for this and i assure you i will be upto your expectation.Like you said your computer wont shut down however you havent mentioned which operating system you have however try these steps ...
steps to preform:_
1.click start and then click on Run.
2 It would open a box where you have to type a command "msconfig" and then click on ok.It would open a box "system configuration utility" in this box the last tab would say "startup" at the very top under startup you would see lots of iteams which would be checked and down to the very bottom you will see "disable all" click it and then before "startup" to the very top there would be one more tab "services" click services and then down at the very bottom you would see a box "hide all microsoft services" check it and then click on disable all click on "apply" and then "ok" or click on "close" it would ask you to restart it .restart the computer and if it still stuck at the shutting down window then manually shut it down and restart the computer and then agian try and shut it down i am sure it would do the trick for you.
once the computer would restart it would give you a message you have used "system configuration utility" down at the bottom you would see a box "dont show this message agin" chcek it and click "ok" or "close".
If still the issue persists then you can call me at a toll free number 1888-977-3765 and ask for my name puran and i would be glad to assist you for the same.
HOPE THIS INFORMATION IS USEFUL FOR YOU IF ANY FURTHER QUREY YOU CAN CONTACT ME AT MY EMAIL IE:-
Thanks and Regads