Find the nature of roots for

(x-a)(x-b) + (x-c)(x-a) + (x-b)(x-c) = 0

I started solving the above equation.

This was deduced to

3x2 – 2(a + b+c)x +(ab+bc+ca) =0

from this, the discreminant

4(a + b+c)2 -4(3)( ab+bc+ca)

4[a2+b2+c2+2(ab+bc+ca)-3(ab+bc+ca)]

4[a2+b2+c2-(ab+bc+ca)]

From this I am not able to say what type are the roots.

Kindly guide me.

Thanks