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We then apply the square root property. To complete the square, the leading coefficient, a a , must equal 1. If it does not, then divide the entire equation by a a. Then, we can use the following procedures to solve a quadratic equation by completing the square. We will use the example x2 +4x+1 = 0 x 2 + 4 x + 1 = 0 to illustrate each step. 2017. 8. 21. · Derivation of Quadratic Formula. That formula looks like magic, but you can follow the steps to see how it comes about. 1. Complete the Square. ax2 + bx + c has "x" in it twice, which is hard to solve. But there is a way to rearrange it so that "x" only appears once. It is called Completing the Square (please read that first!). Our aim is to.