Problem 10

$$\begin{array}{lcl} 10.\:In\: one\: solution\:to\:the\:equation:\\ \:4x^{2}+(2c-4)+4c=0\:is\:x=2\\ What\: is \:the\: value \:of\: c\:?\\ \\ (A)\:10\\ \\ (B)\:2\\ \\ (C)\:4\\ \\ (D)\:-2\\ \\ (E)\:-9\\ \end{array}$$