(5x-6)/x-(5x-6)/(x+1)=0

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Solution for (5x-6)/x-(5x-6)/(x+1)=0 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:-1) U (-1:0) U (0:+oo)

(5*x-6)/x-((5*x-6)/(x+1)) = 0

(5*x-6)/x+(-1*(5*x-6))/(x+1) = 0

((5*x-6)*(x+1))/(x*(x+1))+(-1*x*(5*x-6))/(x*(x+1)) = 0

(5*x-6)*(x+1)-1*x*(5*x-6) = 0

5*x-6 = 0

(5*x-6)/(x*(x+1)) = 0

(5*x-6)/(x*(x+1)) = 0 // * x*(x+1)

5*x-6 = 0

5*x-6 = 0 // + 6

5*x = 6 // : 5

x = 6/5

x = 6/5

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