If \((b-3)\left(4+\dfrac2{b}\right) = 0\) and \(b \ne 3,\) then \(b=\)

[VJesus12]

If \((b-3)\left(4+\dfrac2{b}\right) = 0\) and \(b \ne 3,\) then \(b=\)

(A) \(-8\)

(B) \(-2\)

(C) \(-\dfrac12\)

(D) \(\dfrac12\)

(E) \(2\)

Answer: C

Source: Official Guide