This polynomial does not factor so you have to complete the square or use Quadratic formula. x^2 + 6x + 7 = 0 Using completing the square, subtract 7 from both sides. x^2 + 6x = -7 divide 6 by 2 = 3, square 3 = 9, add 9 to both sides. x^2 + 6x + 9 = 2 (x + 3)^2 = 2 Take the sqrt of both sides x + 3 = + - sqrt 2 subtract 3 from both sides x = - 3 + - sqrt 2 This is not an answer choice but it is the correct answer. You either typed the choices incorrectly or the equation incorrectly.