Below are the steps we discussed in class, in case some of you had trouble copying them down:
1. Rearrange the equation in a way that it becomes an argument of finding missing length on a diagram that has a square and a rectangle joined together to form a bigger rectangle whose total area is a given number.
2. After drawing the diagram next to the equation, cut the rectangular portion of the diagram in half and relocate it to the bottom of the square portion.
3. Add the missing piece to the diagram such that a square is completed and add the area of that missing piece to both sides of the algebraic equation.
4. Now you can just factor the left side of your equation (the one with variables in it) and simplify the right side of your equation (the numerical side) and continue to solve for x as you saw in class.
I will post answers to the problems on the weekend so that you can try and check your work before Monday. Please don't take too many short cuts and always draw the diagram or you will needlessly suffer with inaccurate results. You should use the blog to post questions and share your thoughts with each other.