(14x-9)/(7x+3)=2-4/x

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Solution for (14x-9)/(7x+3)=2-4/x equation: 


D( x )

x = 0

7*x+3 = 0

x = 0

x = 0

7*x+3 = 0

7*x+3 = 0

7*x+3 = 0 // - 3

7*x = -3 // : 7

x = -3/7

x in (-oo:-3/7) U (-3/7:0) U (0:+oo)

(14*x-9)/(7*x+3) = 2-(4/x) // - 2-(4/x)

(14*x-9)/(7*x+3)+4/x-2 = 0

(x*(14*x-9))/(x*(7*x+3))+(4*(7*x+3))/(x*(7*x+3))+(-2*x*(7*x+3))/(x*(7*x+3)) = 0

x*(14*x-9)+4*(7*x+3)-2*x*(7*x+3) = 0

14*x^2-14*x^2+19*x-6*x+12 = 0

13*x+12 = 0

(13*x+12)/(x*(7*x+3)) = 0

(13*x+12)/(x*(7*x+3)) = 0 // * x*(7*x+3)

13*x+12 = 0

13*x+12 = 0 // - 12

13*x = -12 // : 13

x = -12/13

x = -12/13

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