How to complete the square by factoring out a negative 3

The video tutorial explains the process of completing the square in quadratic equations. It begins with the importance of having the leading coefficient as one and proceeds to factor out terms to create a perfect square trinomial. The instructor highlights common mistakes, such as incorrect multiplication, and emphasizes the need for balance in equations. The tutorial concludes with the final steps to factor the trinomial into a binomial squared and adjust the equation accordingly.

How does the teacher suggest handling the addition and subtraction of constants when completing the square?

What is the final result after factoring the perfect square trinomial?