Question

If (x-2) (3x-2) = 0, what are all the possible values of x?

Answer 1

By setting both equations to zero and getting x alone you find your anwer
x-2=0        3x-2=0
 +2  +2         +2  +2
x=2           3x=2
                 /3  /3
                   x=2/3

Answer 2

(x-2)(3x-2) = 0
F1      F2

F1 means factor 1 and F2 means Factor 2 (of multiplication)

Then you do x-2 = 0 and 3x-2 = 0

x-2 = 0
Move the common factor to the right with changed sign

x = 2

3x-2 = 0
3x = 2

$\frac{3}{3} x = \frac{2}{3}$

x = 2/3

So your answer is B