Find the x intercept of f(x) = (7x + 7)/(x^2+5)

Set this equation equal to zero. Then, set each factor equal to zero, and solve for x
7x+7=0
x^2+5=0

x=-1
x=+ or - √-5

For this second answer, simplify this to + or - i√5.
Note that if you were to distribute this, the highest exponent would be 3. This tells you how many answers there will be:
-1
i√5
-i√5