Using the splitting middle term - the middle term of the general equation is divided in two such values that:

Product = a.c

For the given equation a = 9; b = -3; c = -2

= 9. - 2 = - 18

And either of their sum or difference = b

= - 3

Thus the two terms are - 6 and 3

Sum = - 6 + 3 = - 3

Product = - 6.3 = - 18

3x(3x-2) + 1(3x-2) = 0

(3x + 1)(3x-2) = 0

(3x + 1) = 0 or (3x-2) = 0

x = (-1)/3 or x = 2/3

Roots of equation are (-1)/3, 2/3