SOLUTION: [(2x-3)/5]squared + 2[(2x-3)/5] = 8

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Question 1016799: [(2x-3)/5]squared + 2[(2x-3)/5] = 8
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
[(2x-3)/5]squared + 2[(2x-3)/5] = 8
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Let w = (2x-3)/5
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w^2 + 2w - 8 = 0
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(w+4)(w-2) = 0
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w = -4 or w = 2
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Solve for "x":
(2x-3)/5 = -4 or (2x-3)/5 = 2
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2x-3 = -20 or 2x-3 = 10
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2x = -17 or 2x = 13
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x = -8.5 or x = 6.5
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Cheers,
Stan H.
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