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The question is on this PDF File. It's 22.8. I get the logic of it, the electric fields will be 0 only when they both have the same magnitude. The math is shown below the problem, but i don't understand it. Could someone solve this and show me how to do this step by step?

(You can see I'm not cheating, because if I was, I would just copy the answer out of that page. I want to understand it and do well in this class.)