Solve for p:
52 p^2 + 84 p + 18 = 0
Divide both sides by 52:
p^2 + (21 p)/13 + 9/26 = 0
Subtract 9/26 from both sides:
p^2 + (21 p)/13 = -9/26
Add 441/676 to both sides:
p^2 + (21 p)/13 + 441/676 = 207/676
Write the left hand side as a square:
(p + 21/26)^2 = 207/676
Take the square root of both sides:
p + 21/26 = (3 sqrt(23))/26 or p + 21/26 = -(3 sqrt(23))/26
Subtract 21/26 from both sides:
p = (3 sqrt(23))/26 - 21/26 or p + 21/26 = -(3 sqrt(23))/26
Subtract 21/26 from both sides:
p = (3 sqrt(23))/26 - 21/26 or p = -21/26 - (3 sqrt(23))/26
