Question 981399
x^2 + 14x + 9 = 0
subtract 9 from both sides of =
x^2 + 14x = -9
divide x coefficient by 2 and square it, then add 49 to both sides of =
x^2 + 14x + 49 = 40
factor polynomial
(x + 7) * (x + 7) = 40
take square root of both sides of =
x + 7 = 2 * square root of 10
x = 2 * square root(10) - 7 = −0.68
x = 2 *(-square root(10)) - 7 = −13.32
x = −0.68 or x = −13.32
NOTE. we added 49 to both sides of the equation