First off, what is the error you are getting?
Second, you are running a laptop with an onboard Intel video card which is horrible for games, and is most likely the reason the game won't work. You can try to update the video drivers from HPs site.
To fix this, you probably need to get a new laptop. From the system requirements: "Intel and S3 video cards are not officially supported in Mass Effect 2".
You have an Intel video card, so it means that if it works, great. If not, too bad, but you won't get any help or fixes from the game maker.