(12x-5)/(6x+3)=2-(8/x)

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Solution for (12x-5)/(6x+3)=2-(8/x) equation:


D( x )

6*x+3 = 0

x = 0

6*x+3 = 0

6*x+3 = 0

6*x+3 = 0 // - 3

6*x = -3 // : 6

x = -3/6

x = -1/2

x = 0

x = 0

x in (-oo:-1/2) U (-1/2:0) U (0:+oo)

(12*x-5)/(6*x+3) = 2-(8/x) // - 2-(8/x)

(12*x-5)/(6*x+3)+8/x-2 = 0

(x*(12*x-5))/(x*(6*x+3))+(8*(6*x+3))/(x*(6*x+3))+(-2*x*(6*x+3))/(x*(6*x+3)) = 0

x*(12*x-5)+8*(6*x+3)-2*x*(6*x+3) = 0

12*x^2-12*x^2+43*x-6*x+24 = 0

37*x+24 = 0

(37*x+24)/(x*(6*x+3)) = 0

(37*x+24)/(x*(6*x+3)) = 0 // * x*(6*x+3)

37*x+24 = 0

37*x+24 = 0 // - 24

37*x = -24 // : 37

x = -24/37

x = -24/37

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