#p^2+14p=38# add 38 to both sides to have all the terms with variables on one side #p^2+14p+49=87# to complete the square, find half of 14, which is the coefficient of 14p and then square it. Half of 14 is 7, and #7^2# is 49, so we add 49 to both sides #(p+7)^2=87# factor #p+7=+-sqrt87# square root both sides #p=-7+-sqrt87# subtract 7 from both sides to solve for p