Arturo O. answered 02/20/18
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y = 2x2 - 6x - 8 = 2(x2 - 3x - 4) = 2(x - 4)(x + 1) = 0 ⇒
x - 4 = 0 or x + 1 = 0 ⇒
x = 4 or -1
Now try to find these 2 values of x in your list of candidates, which you did not include in the problem statement.