Ok do not panic
Is this cable a ribbon cable or just a bunch of thin wires?
How many wires do you have alltogether?
First you have to determine Ground (GND). At least two will be ground.
On the lcd side gnd is on the metal house (frame).
On the laptop side it is connected e.g. to the serial port shield.
As you said it is two separated cable collection.
I suppose one of them will be the backlight, other one is for driving LCD.
Disassemble the lcd plastic frame (by removing screws - usually at the corners, often covered by small rubber or plastic discs. Then use a switchknife with wide, thin blade (eg. a Swiss army knife) and open the plastic frame. Then four screws are fixing the display (depending on the model it can be on the sides or can be directly visible) Remove them, and from this point every step must be performed very carefully, because the display can suddenly fell out and crack (better to use a sponge or a cloth on th surface avoiding any damage of the display).
Remove the display and turn it upside-down. On the PCB side you can determine the origin of the wires at the connector. Try to seek the datasheet of the display for identification. In any other case, the rule of thumb: Identify the GNDs first, power then and finally signals.
I stongly believe that LCD works with 3.3V
Next part is coming soon.