Just a bit confused here and would appreciate a little guidance please.

Find the x intercept when y=0

0 = -x^2 + 4x +5

x^2 - 4x - 5 = 0

(x-1)(x-5) = 0 (Something here I think is not quite right)?

multiply out the brackets;

x^2 - 5x - x +5 = 0

x^2 - 6x + 5 = 0 (This can't be right it does'nt equal the original equation)?