please give us the make model and drive interface of your new hard disk. I've known the hybrid SSD's to be merely SATA drives with increased RPM (not that they arent wonderful pieces of technology I actually use one) but it should operate akin to a SATA drive, so make sure its on a sata connector.
Now if this is an mSATA drive, this is a completely different ball park and you're dealing with a true SSD drive (non hybrid) please be sure to tell what make/model the drive is and how its interfacing to the computer: SATA, mSATA, WWAN, etc.
do NOT go into your bios and change the controller modes unless you want to reinstall your O/S i've known mode changes such as what Citizen_WD has described above (Changing from raid to ahci, or, ahci to IDE) to cause drives not to boot.
If you do decide to use that reccomendation make sure your disc is backed up and for extra measure that you have a cloned disc image in an external drive somewhere.
You may also want to download a live disc of "Parted Magic." burn this ISO to disc and install your drive, then boot to this live disc and check the drive status from there. With this live image you can also partition the drive, and make those backups/clones of the primary drives i was mentioning above. its a very handy tool for hard drive construction and implementation. Much better than Windows' Disk Management.
Edited by drwmbt, 05 January 2015 - 03:18 PM.