I'm trying to dual boot my computer with Windows 7 and Ubuntu 12.04, but I keep running into a problem. I have created a primary partition for the new OS, have downloaded the 64-bit .iso file (my computer is a 64-bit machine) from the Ubuntu website, burned it to a disc, and then restarted the computer while the disc was still in the drive. When the computer tried to boot from the disc, I got a kernel panic. How can I change this so that I don't keep getting kernel panics?
I don't know the answer to your kernel panic problem.
But have you considered using the Ubuntu windows installer Wubi?
I've used it in the past with success and ease. It is a Ubuntu installer that you can run directly in Windows. I believe the Ubuntu OS is installed under the Windows file system but you will be able to boot directly into Ubuntu from the boot loader.
Before burning, check the signature of the Ubuntu
It may so happen that the CD is not properly prepared. You can try another CD. Burn it with low speed. You may try installing from USB also.