Answer:
x = 0, 1/3
Step-by-step explanation:
The greatest common factor is 2x. Factoring that out, we have ...
2x(3x -1) = 0
The solutions will be the values of x that make the factors 0.
x = 0
3x -1 = 0 ⇒ x = 1/3
The solutions are x = 0, 1/3.
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Check
x = 0 ⇒ 6·0² -2·0 = 0 ⇒ 0 - 0 = 0 . . . true
x = 1/3 ⇒ 6(1/3)² -2(1/3) = 0 ⇒ 6/9 -2/3 = 0 . . . true
