you employ what's widespread because of the fact the quadratic equation. The quadratic equation is as follows: ax^2 + bx + c = (-b +/- sqrt(b^2 - 4ac))/(2a) so to your occasion you may replace into the equation (a million)x^2 + (9)x + (14) = (-(9) +/- sqrt((9)^2 - 4(a million)(14))) / (2(a million)) The +/- area potential that one answer makes use of the + sign and the different makes use of the - sign. The sqrt potential the sq. root of it. i'm going to easily artwork with the fabulous element so which you will discover the roots (-9 +/- sqrt(eighty one - fifty six)) / (2) (-9 +/- sqrt(25)) / (2) (-9 +/- 5) / (2) Now you have 2 roots to the equation, the 1st makes use of the + image and the 2d makes use of the - image: First, (-9 + 5) / (2) = -4 / 2 = -2 2d, (-9 - 5) / (2) = -14 / 2 = -7 the top of the factoring technique makes use of the traditional sort: (x - first root)(x - 2d root) So to your occasion it would be: (x - (-2))(x - (-7)) (x+2)(x+7) So, (x+2)(x+7) is the respond. in case you circulate by the stairs and you get a damaging huge form interior the sq. root sign, this might advise something called a complicated huge form. in case you have no longer found out approximately that yet, attempt redoing the maths and spot in case you made a mistake. i'm hoping this helps.