Answer
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.
$s-5=0\ OR\ s-9=0$
$s-5+5=0+5\ OR\ s-9+9=0+9$
$s=5\ OR\ s=9$