Given:

Let's find the value(s) of p where the equation will have equal roots.
To find the value of p, apply the quadratic formula:

When there are equal roots, the discriminant is zero.
Thus, we have:

Where:
a = 1
b = 1
c = (p + 7)
Thus, we have:

Now, let's solve for p.
Add 27 to both sides:

Therefore, the value of p where the equation will have equal roots are:

ANSWER:
