I begin with . Since they say to solve by completing the square, I ignore that it can be factored as is and add one to each side. Since . And get after moving the -15 and adding one to each side.

First off have I done everything correctly? Keep in mind that the problem asks for me to complete the square, which I think I have done.

Secondly is the resulting factored equation just asking me for the square root of one? is the same as . Since x would be what ever number plus four squared is equal to one.

Just from factoring out the initial equation you can tell the answers are -3 and -5. So something has too be wrong.