(16x-7)/(8x+3)=2-(6/x)

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Solution for (16x-7)/(8x+3)=2-(6/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-7)/(8*x+3) = 2-(6/x) // - 2-(6/x)

(16*x-7)/(8*x+3)+6/x-2 = 0

(x*(16*x-7))/(x*(8*x+3))+(6*(8*x+3))/(x*(8*x+3))+(-2*x*(8*x+3))/(x*(8*x+3)) = 0

x*(16*x-7)+6*(8*x+3)-2*x*(8*x+3) = 0

16*x^2-16*x^2+41*x-6*x+18 = 0

35*x+18 = 0

(35*x+18)/(x*(8*x+3)) = 0

(35*x+18)/(x*(8*x+3)) = 0 // * x*(8*x+3)

35*x+18 = 0

35*x+18 = 0 // - 18

35*x = -18 // : 35

x = -18/35

x = -18/35

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