Given $\frac{14x+22}{x+2}=-3x+1$, compute the sum of all the possible values of Express your answer as a fraction.
I don't know what to do.
+128475 [14x + 22 ] / [ x + 2] = -3x + 1 multiply both sides by x + 2
14x + 22 = ( x + 2) ( -3x + 1) simplify
14x + 22 = -3x^2 -6x + x + 2
14x + 22 = -3x^2 - 5x + 2 rearrange as
3x^2 + 19x + 20 = 0 factor as
(3x + 4 )(x + 5) = 0
Set each factor to 0 and solve for x
3x + 4 = 0 x + 5 = 0
3x = -4 x = - 5
x = - 4/3
