Any solutions for starting my computer?

Then follow the instructions posted by Maguscreed and let us know.

We will then be able to further assist you from there.

Also, posting the exact model of your laptop will help as well.

You should be able to find the model number underneath the laptop on a white or black sticker.

I hate to say this man, but unless you have a lot of time on your hands and are comfortable with opening the thing up, it may be time to run it by a tech.
If the motherboard is dead he'll at least be able to recover the data off the hdd for you.
As for that being the case, I think the graphics may have chosen to burn out on you. They are part of the motherboard in most laptops.
This generally means the end of the laptop as and entire replacement laptop will not be much more money than fixing the old.

I hope I'm wrong , but that's what it is looking like to me. You need someone that has proper gear to hardware test it though.

I would pull the hdd and create a backup at this point regardless of what you plan to do from here on out.
If you don't have an external enclosure you can get one for about 20 bucks, (that will let you just connect the hdd to another computer via usb) which is cheaper than paying someone to do it.

sorry the post seem a little 'skitzo'
but I'm considering both possibilities for continuing from here, as it does seem it's about to get really involved.