Given (14x + 22)/(x + 2) = -3x - 1, compute the sum of all the possible values of x. Express your answer as a fraction.
(14x + 22) / ( x + 2) = -3x - 1 multiply through by x + 2
(14x + 22) = -(3x + 1) ( x + 2)
14x + 22 = - (3x^2 + 7x + 2)
14x + 22 = -3x^2 - 7x - 2 rearrange as
3x^2 + 21x + 24 = 0
By Vieta.....the sum of all possible solutions = -21 / 3 = -7