SOLUTION: Solve for w. 4 + 5/w - 7 = 7/(w + 1) (w - 7) (If there is more than one solution, separate them with commas.)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve for w. 4 + 5/w - 7 = 7/(w + 1) (w - 7) (If there is more than one solution, separate them with commas.)      Log On


   

Question 387405: Solve for w.
4 + 5/w - 7 = 7/(w + 1) (w - 7)
(If there is more than one solution, separate them with commas.)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for w.
4 + 5/(w - 7) = 7/[(w + 1)(w - 7)]
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Multiply thru by (w+1)(w-7) to get:
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4(w+1)(w-7) + 5(w+1) = 7
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4[w^2-6w-7] + 5w+5 = 7
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4w^2-24w-28+5w+5 = 7
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4w^2-19w-30 = 0
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(w-6)(4w+5) = 0
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w = 6 or w = -5/4
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Cheers,
Stan H.