8p^2+8p+7=9
how do i find the discriminant

The discriminant can be found using the formula b^2-4ac 

First put your equation in standard form, where all your values are on one side, and just add f(x) or y in front of your equation. 
y= 8p^2-8p+2

The first value of your equation is a   (a=8)
The second term of your equation is b  (b=-8)
The last term of your equation is c  (c=2)

Plug in the values to the discriminant equation b^2-4ac