Which point in Argand plane is equidistant from roots of equation $(z+1)^4=16z^4$?

Question

$\begin{array}{1 1}(A)\;\big(\large\frac{-1}{3}\normalsize, 0\big)&(B)\;\big(\large\frac{1}{3}\normalsize, 0\big)\\(C)\;\big(\large\frac{1}{\sqrt 5}\normalsize, 0\big)&(D)\;(0,0)\end{array} $