SOLUTION: Solve the rational equation 7/(x +4) + 1/2 = 3/(x+1)

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Question 423141: Solve the rational equation
7/(x +4) + 1/2 = 3/(x+1)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the rational equation
7/(x +4) + 1/2 = 3/(x+1)
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Multiply thru by 2(x+4)(x+1) to get:
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7*2(x+1) + (x+4)(x+1) = 3*2(x+4)
14x+14 + x^2+5x+4 = 6x+24
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x^2+13x-6 = 0
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x = [-13 +- sqrt(169-4*-6)]/2
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x = [-13 +- sqrt(193)]/2
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Cheers,
Stan H.