AMC 12 2017b Problem 6

The circle having $(0,0)$ and $(8,6)$ as the endpoints of a diameter intersects the $x$-axis at a second point. What is the $x$-coordinate of this point?

\textbf{(A)}\ 4\sqrt{2} \textbf{(B)}\ 6 \textbf{(C)}\ 5\sqrt{2} \textbf{(D)}\ 8 \textbf{(E)}\ 6\sqrt{2}