((x+8))/((x-4))=((x-7))/((x-1))

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Solution for ((x+8))/((x-4))=((x-7))/((x-1)) equation: 


D( x )

x-4 = 0

x-1 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:4) U (4:+oo)

(x+8)/(x-4) = (x-7)/(x-1) // - (x-7)/(x-1)

(x+8)/(x-4)-((x-7)/(x-1)) = 0

(x+8)/(x-4)+(-1*(x-7))/(x-1) = 0

((x+8)*(x-1))/((x-4)*(x-1))+(-1*(x-7)*(x-4))/((x-4)*(x-1)) = 0

(x+8)*(x-1)-1*(x-7)*(x-4) = 0

18*x-36 = 0

(18*x-36)/((x-4)*(x-1)) = 0

(18*x-36)/((x-4)*(x-1)) = 0 // * (x-4)*(x-1)

18*x-36 = 0

18*x-36 = 0 // + 36

18*x = 36 // : 18

x = 36/18

x = 2

x = 2

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