Find all values of such that
\(\[9 + \frac{27}{x} + \frac{8}{x^2} = 0.\]\) If you find more than one value, then list your solutions, separated by commas.
9 + 27/x + 8 / x^2 = 0 multiply through by x^2
9x^2 + 27x + 8 = 0 factor as
(3x + 1) (3x + 8) = 0
Setting each factor to 0 and solving for x we get that
x = 1/ 3 or x = -8/3