Which is not a solution {ACT}

Which of the following is NOT a member of the solution set for the equation:
2x(3x - 1)(2x - 2)(x - 3) = 0
A.)  3
B.)  2
C.)  1
D.)  1/3
E.)  0

Solve the equation for x, and then identify which answer is not a member of the solution set.

When two or more terms are multiplied to equal 0, any of them could be equal to 0.
To find all the possibilities for x, set each factor equal to 0.

2x(3x - 1)(2x - 2)(x - 3) = 0
2x = 0 or 3x - 1 = 0 or 2x - 2 = 0 or x - 3 = 0 {set each factor equal to 0}
x = 0 or 3x = -1 or 2x = 2 or x = 3 {began solving each equation for x}
x = 0 or x = -1/3 or x = 1 or x = 3 {solved each equation for x}

Out of the choices for not being a solution, 2 is not a solution.

B.)  2

- Algebra House