How do you solve the equation #x^2+14x+49=0# by completing the square? Precalculus Linear and Quadratic Functions Completing the Square 1 Answer Alan N. Mar 8, 2017 #x=-7# Explanation: #x^2+14x+49=0# #(x+7)^2 = 0# Hence LHS is already a square: #x=-7# Answer link Related questions What does completing the square mean? How do I complete the square? Does completing the square always work? Is completing the square always the best method? Do I need to complete the square if #f(x) = x^2 - 6x + 9#? How do I complete the square if #f(x) = x^2 + 4x - 9#? How do I complete the square if the coefficient of #x^2# is not 1? How do I complete the square if #f(x) = 3x^2 + 12x - 9#? If I know the quadratic formula, why must I also know how to complete the square? How do I use completing the square to describe the graph of #f(x)=30-12x-x^2#? See all questions in Completing the Square Impact of this question 5245 views around the world You can reuse this answer Creative Commons License