(5x2-27x)/(5x+3)-(1/x)=x-6

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Solution for (5x2-27x)/(5x+3)-(1/x)=x-6 equation:


D( x )

x = 0

5*x+3 = 0

x = 0

x = 0

5*x+3 = 0

5*x+3 = 0

5*x+3 = 0 // - 3

5*x = -3 // : 5

x = -3/5

x in (-oo:-3/5) U (-3/5:0) U (0:+oo)

(5*x^2-(27*x))/(5*x+3)-(1/x) = x-6 // - x-6

(5*x^2-(27*x))/(5*x+3)-x-(1/x)+6 = 0

(5*x^2-27*x)/(5*x+3)-x-x^-1+6 = 0

(5*x^2-27*x)/(5*x+3)-x-1/x+6 = 0

(x*(5*x^2-27*x))/(x*(5*x+3))+(-x*x*(5*x+3))/(x*(5*x+3))+(-1*(5*x+3))/(x*(5*x+3))+(6*x*(5*x+3))/(x*(5*x+3)) = 0

x*(5*x^2-27*x)-x*x*(5*x+3)-1*(5*x+3)+6*x*(5*x+3) = 0

30*x^2-30*x^2-5*x+18*x-3 = 0

13*x-3 = 0

(13*x-3)/(x*(5*x+3)) = 0

(13*x-3)/(x*(5*x+3)) = 0 // * x*(5*x+3)

13*x-3 = 0

13*x-3 = 0 // + 3

13*x = 3 // : 13

x = 3/13

x = 3/13

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