SOLUTION: Solve 1/x + 1/x+5 = 3/4

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Question 176610: Solve 1/x + 1/x+5 = 3/4
Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve 1/x + 1/(x+5) = 3/4
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lcm = 4x(x+5)
Multiply thru by the lcm to get:
4(x+5) + 4x = 3(x(x+5))
4x+20 + 4x = 3x^2 + 15x
3x^2 + 7x - 20 = 0
3x^2 + 12x - 5x - 20 = 0
3x(x+4)-5(x+4) = 0
(x+4)(3x-5) = 0
x = -4 or x = 5/3
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cheers,
Stan H.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1%2Fx+%2B+1%2F%28x%2B5%29+=+3%2F4
Multiply both sides by 4x(x+5) to get rid of denominators,
1%2Fx+%2B+1%2F%28x%2B5%29+=+3%2F4
4%28x%2B5%29+%2B+4x=+3x%28x%2B5%29
4x%2B20%2B4x=3x%5E2%2B15x
8x%2B20=3x%5E2%2B15x
3x%5E2%2B7x-20=0
%283x-5%29%28x%2B4%29=0
Two solutions:
3x-5=0
3x=5
highlight%28x=5%2F3%29
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.
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x%2B4=0
highlight%28x=-4%29