Find the point(s) on the parabola f (x) = x^2 - 4x + 3 at which the normal line passes through the point (2,0).

I found the slope of the normal line: - 1/(2x-4)

And came up that one of the normal line equation is (-1/2)x + 1

But then I'm stuck. How do I find the points on the parabola. And should there be two normal lines that passes through the point or only one?

I'm only able to find one.

Any help is greatly appreciated! Thanks !!