Question

if a+ b+c =a.b.c then how many real number solutions are possible

Answer 1

well nice question may be 3

Answer 2

a=v3, b=v3, c=v3
a=0, b=k, c = - k, where k is real number
b=0, a=k, c= - k where k is real number
C=0, a=k, b=k where k is real number
That is, if one is zero then the sum of other two is zero.