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 5625 views around the world You can reuse this answer Creative Commons License