If a ractangle has a length of 2x-1 and width x+5 and has an area of 156 square units, what is x?

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  1. (2x-1)(x+5) = 156
    That can be rewritten as
    2x^2 + 9x - 5 = 156
    2x^2 + 9x - 161 = 0
    (2x + 23)(x - 7) = 0
    Either x = 7 or -23/2 will work.

    The answer has to be positive, so it has to be x = 7.

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    posted by drwls
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