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Given (14x + 22)/(x + 2) = -3x + 7, compute the sum of all the possible values of  Express your answer as a fraction.

 Nov 22, 2021
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Rewrite  (14x + 22) / (x + 2)  =  -3x + 7

as            24x + 22  =  (-3x + 7)(x + 2)

 

1)  Multiply out the right side.

2)  Take all terms to the left side, forming a quadratic.

3)  Use the quadratic formula to solve the equation.

4)  Add together the two solutions, noting that the radicals cancel.

 Nov 22, 2021

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