What is the sum of the solutions of the equation (3x+5)(2x-9) = 0? Express your answer as a common fraction.

Setting each linear term to 0, we have

3x + 5 = 0       so, x = -5/3

and

2x - 9 = 0    so, x = 9/2

And  9/2  + (-5/3)   =   27/6 + (-10/6)  = 17/6