Question

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

Options:

A. 1, ½
B. 2/3 , 2
C. 2 , ½
D. 3/ , 2
E. -2 , - 2/3

Answer 1

(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


`(3)/(3) x = (2)/(3)`

x = 2/3

So your answer is B

Answer 2

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