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Solve \(\displaystyle \frac{3}{x} - \frac{x}{x + 6} = \frac{18}{x^2 + 6x}\)

 Aug 4, 2020
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common denominator is    x (x+6) = x^2 +6x

 

[3 (x+6) - x(x) ]  /  x^2+6    = 18 / x^2 + 6      equate the numerators

 

3x+18 - x^2 = 18

3x = x^2

+-3 = x      (throw out -3)

 Aug 4, 2020

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