(7x)/(x-1)-(3/x)=7

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Solution for (7x)/(x-1)-(3/x)=7 equation: 


D( x )

x = 0

x-1 = 0

x = 0

x = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

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

(7*x)/(x-1)-(3/x) = 7 // - 7

(7*x)/(x-1)-(3/x)-7 = 0

(7*x)/(x-1)-3*x^-1-7 = 0

(7*x)/(x-1)-3/x-7 = 0

(7*x*x)/(x*(x-1))+(-3*(x-1))/(x*(x-1))+(-7*x*(x-1))/(x*(x-1)) = 0

7*x*x-3*(x-1)-7*x*(x-1) = 0

7*x^2-7*x^2-3*x+7*x+3 = 0

4*x+3 = 0

(4*x+3)/(x*(x-1)) = 0

(4*x+3)/(x*(x-1)) = 0 // * x*(x-1)

4*x+3 = 0

4*x+3 = 0 // - 3

4*x = -3 // : 4

x = -3/4

x = -3/4

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