Let \(a,b,c,\) and \(d\) be nonzero real numbers. If the quadratic equation \(ax(cx+d)=-b(cx+d)\) is solved for \(x,\)

Let \(a,b,c,\) and \(d\) be nonzero real numbers. If the quadratic equation \(ax(cx+d)=-b(cx+d)\) is solved for \(x,\) which of the following is a possible ratio of the \(2\) solutions?

A. \(-\dfrac{ab}{cd}\)

B. \(-\dfrac{ac}{bd}\)

C. \(-\dfrac{ad}{bc}\)

D. \(\dfrac{ab}{cd}\)

E. \(\dfrac{ad}{bc}\)

Answer: E

Source: GMAT Prep