How to Solve for T in an Equilibrium Problem?

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Homework Statement


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Homework Equations


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The Attempt at a Solution


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I'm trying to solve this problem but I can't get the Te by itself. Does anyone have any answers as to a direction I should take?
 

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Are you familiar with how to find the roots of a polynomial of degree 2?
 
I solved it with your help. I didn't even think about doing it that way. Thanks