Question

what is the solution set of the equation (x -2) (x-a) = 0 ?

Answer 1

The solution set is {2, a}

Answer 2

zero product property
if ab=0 then assume that a and b=0
so
(x-2)(x-a)=0
so assume

x-2=0
and
x-a=0

x-2=0
x=2

x-a=0
x=a


x=2 and a