(x-4)/(x+1)=(x-5)/(x+6)

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Solution for (x-4)/(x+1)=(x-5)/(x+6) equation: 


D( x )

x+1 = 0

x+6 = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x in (-oo:-6) U (-6:-1) U (-1:+oo)

(x-4)/(x+1) = (x-5)/(x+6) // - (x-5)/(x+6)

(x-4)/(x+1)-((x-5)/(x+6)) = 0

(x-4)/(x+1)+(-1*(x-5))/(x+6) = 0

((x-4)*(x+6))/((x+1)*(x+6))+(-1*(x-5)*(x+1))/((x+1)*(x+6)) = 0

(x-4)*(x+6)-1*(x-5)*(x+1) = 0

6*x-19 = 0

(6*x-19)/((x+1)*(x+6)) = 0

(6*x-19)/((x+1)*(x+6)) = 0 // * (x+1)*(x+6)

6*x-19 = 0

6*x-19 = 0 // + 19

6*x = 19 // : 6

x = 19/6

x = 19/6

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