The solutions are 5 and 9.
Work Step by Step
Factor. $s^2-14s+45=0$ $(s-?)(s-?)=0$ Since the 3rd term is positive and the 2nd term is negative, both factors use subtraction. $(s-5)(s-9)=0$ The zero product property tells us that one of the factors is 0. $s-5=0\ OR\ s-9=0$ $s-5+5=0+5\ OR\ s-9+9=0+9$ $s=5\ OR\ s=9$