Complete the square:
p^2 + 10 p = 1
Move everything to the left hand side.
Subtract 1 from both sides:
p^2 + 10 p - 1 = 0
Move the constant term to the right hand side.
Add 1 to both sides:
p^2 + 10 p = 1
Group terms together on the left hand side.
Group terms together on the left hand side, with a placeholder constant:
(p^2 + 10 p + __) = __ + 1
Find the appropriate term to place inside (p^2 + 10 p + __).
Take one half of the coefficient of p and square it, then add it to both sides.
Add (10/2)^2 = 25 to both sides:
(p^2 + 10 p + 25) = 25 + 1
(p^2 + 10 p + 25) = 26
Express p^2 + 10 p + 25 as a square.
p^2 + 10 p + 25 = (p + 5)^2:
(p + 5)^2 = 26