The answer is :X^2 + 7x + 12
The mistake made was when expanding they added 3 and 4 together instead of multiplying it
The only way you can find x here is to use a trig ratio. We have the reference angle of 75, CA is 10 which is the side adjacent to the reference angle, and we are looking for the hypotenuse. The ratio that relates the side adjacent to a reference angle to the hypotenuse is cosine. Therefore,

. Solving for x we get

. Do that on your calculator and find that the hypotenuse is 38.6 m long, last choice from above.
using a graph tool
I proceed to graph each case to determine the solution
case A) 
see the attached figure N 1------> is not the solution
case B) 
see the attached figure N 2--------> is the solution
case C) 
see the attached figure N 3-----> is not the solution
case D) 
see the attached figure N 4-----> is not the solution
therefore
the answer is the option
case B) 
Subract 184.9 from -109.3 to get the answer.