Hello,

I am not very good with Mathematica in general. I typically use it to breakdown and solve complex algebraic equations to support hand-calculation, numeric solutions, etc. I am trying to solve for the points of intersection between two circles that are not located on the origin, call them Circle A and Circle B. So I solved one equation by hand for x, then tried to use Solve[-,-] to have Mathematica write out the expression for me. I can make use of what's given, but there are some easy "gimmie's" that I wish I knew how to tell Mathematica to do because it could greatly simplify the expression. See the attached notebook.

Can someone please help me figure out how to make better use of Mathematica and/or the FullSimplify function so I can tell it to assume x1-x2 = x3, y1-y2 = y3, etc? I tried looking through the "assumptions" documentation but I kept getting errors from what I tried to do there.

Thanks, James