So far in your learning it is likely that you have been learnt that if you can't factorise a quadratic equation then you can not solve for x. The quadratic formula is overcomes this restriction, allowing you to solve for the x terms given that you can not factorise a quadratic formula. The terms a, b and c, from the quadratic equation in the form y=ax^2+bx+c are substituted into the quadratic formula to solve for x giving two different values.