Completing the square follows the principle of taking

and converting it into

where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us

.
In this case, 2/2=1 so we have the first part:

.
Expanding this gives us

. We need c to be 9, so we can just add 8.
Putting this together:

Now we can solve it more easily.
Rearranging:
192 possible plain sandwiches can be made because you would do 4x6x8 which equals 192.
I think the two solutions would be
800 divided by 19
is 42 with remainder 2
= 42 R 2
= 42 2/19