Solution of Quadratic Equations by Completing the Square Method

In the last post one discussed the solution of quadratic equations by factorization. See the post here. In this post one will explain how one can solve quadratic equations through completing the square method.
Now some quadratic equations cannot be solved by factorization. One other method that can be used when one cannot use factorization is completing the square method. One will explain it using examples.

First, test for the availability of factors (although, this may not be necessary in this case as the method of completing the square has been specified). This is because the method of completing the square can be used to solve any quadratic equation.