[Image ID: A screenshot taken of something written in the google docs mobile app. The screenshot reads, “Prompt: How do you factor the equation x^2-12x+3 by completing the square? Walk me through it. So here's what you're gonna do. You're gonna start by subtracting three from both sides of the equation, and then here's where things get fun. You see that twelve, that negative twelve, that's next to the x? So take that and in your head divide it by two. Whatever you get, though I hope you got negative six, will be put next to a singular x inside a set of parentheses. Also, you're gonna put the little ^2 symbol on the outside of the parentheses. So, remember how you took three away from both sides? Now it becomes relevant again! You're gonna take that old negative six you got from halving the negative twelve, and you're gonna square it into positive thirty-six. Add that to the three you got earlier. By now you've got something along the lines of (x-6)^2=39, right? God I hope you do. So, take all of that, and get the square root of everything. That should result in x-6= [positive or negative] 6.225, and if not I don't know what to tell you. So, add six to both negative 6.225 and positive 6.225, and those two numbers (12.225 and 0.225) should be your x-values. Boom! It's solved.” End ID.]

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