Forces & Two Charges- Quick question

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A 2 nC positive charge is located at the origin, while a -4 nC negative charge is positioned at x = 1 cm. The question involves finding the x coordinate where a proton can be placed to experience no net force due to these charges. The user has calculated a position between the two charges, aligning with the textbook answer, but believes there should be an additional position to the left of the origin where the net force is also zero. The discussion centers on confirming whether a second equilibrium point exists outside the two charges.
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Homework Statement


A 2 nC charge is at the origin and a -4nC charge is at x = 1 cm.

a) At what x coordinate is would you place a proton so that it would experience no net force?

Ok I solved for the coordinate in between the two charges, and I got the same answer as my book. However, the book only gives one answer and I think that there should be another place where the force is zero to the left of the origin. Am I correct?


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The Attempt at a Solution

 
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