Two particle of mass, find distance of equilibrium position?

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two particle of mass, find distance of equilibrium position?

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need a hint to start question, really appreciate
 
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What quantity (in mathematical terms) do you think the problem is asking for?

What are the units of the constants -6.5 and 6.3? If it's centimeters, there's no solution for the particulars given. Are you sure you copied the problem down correctly?
 
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