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put this solution on YOUR website!First we factor the trinomial
x^2 - 4x - 21 = 0
into its binomial factors:
(x - 7)(x + 3) = 0
Now if two quantities multiply together to make zero, one (or both) has to be zero...
Thus x - 7 = 0 and x + 3 = 0 which leads to
x = 7 or x = -3