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## Homework Statement

Two point charges q and 4q are at x=0 and x=L, respectively, and free to move. A third charge is placed so that the entire three-charge system is in static equilibrium.

What is the magnitude of the third charge?

answer in multiple(s) of q

What is the x-coordinate of the third charge?

answer in multiple of L

## Homework Equations

F = Kq_0q_1/r^2

K = 8.99 * 10^9 N m^2/C^2

## The Attempt at a Solution

I have already completed this problem, months ago. But, I am going through all of the homework and making sure that I can perform them well. The problem is, algebraically I am unable to come up with the correct answer. I keep getting myself stuck trying to find what I need to find.