Correct Answer: Option E

Explanation

2a\(^2\) - 3a - 27 = 0

2a\(^2\) - 9a + 6a - 27 = 0

a(2a - 9) + 3(2a - 9) = 0

(a + 3)(2a - 9) = 0

a = -3 or a = \(\frac{9}{2}\)

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