(16x-5)/(8x+3)=2-5/x

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Solution for (16x-5)/(8x+3)=2-5/x equation:


D( x )

x = 0

8*x+3 = 0

x = 0

x = 0

8*x+3 = 0

8*x+3 = 0

8*x+3 = 0 // - 3

8*x = -3 // : 8

x = -3/8

x in (-oo:-3/8) U (-3/8:0) U (0:+oo)

(16*x-5)/(8*x+3) = 2-(5/x) // - 2-(5/x)

(16*x-5)/(8*x+3)+5/x-2 = 0

(x*(16*x-5))/(x*(8*x+3))+(5*(8*x+3))/(x*(8*x+3))+(-2*x*(8*x+3))/(x*(8*x+3)) = 0

x*(16*x-5)+5*(8*x+3)-2*x*(8*x+3) = 0

16*x^2-16*x^2+35*x-6*x+15 = 0

29*x+15 = 0

(29*x+15)/(x*(8*x+3)) = 0

(29*x+15)/(x*(8*x+3)) = 0 // * x*(8*x+3)

29*x+15 = 0

29*x+15 = 0 // - 15

29*x = -15 // : 29

x = -15/29

x = -15/29

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