Answer:
B.) {-16,1}
Step-by-step explanation:
First let us combine like terms so let us move the -4/x to the right side:


Let us find a common denominator for the left side by using :  and so:
 and so:

Now lets get rid of that fraction by multiplying both sides by  and we obtain:
 and we obtain:

I'm going to move everything on the left side to the right by:  and so:
 and so:

Now let's factor.  We can factor by multiplying outer coefficients, so 1 x -16 = -16.  Now let's list all the factors of 16:  1×16,8×2,4×4.  From these factors try to find two that if you add or subtract them they will return the middle term of 15.  So, 16 - 1  = 15.  Therefore,

Now lets solve for both cases:
Case 1:
x-1=0
x=1
Case 2:
x+16=0
x=-16
and so your solutions are:
x={1,-16} or x={-16,1}