x/(x+4)=(x-9)/(x+1)

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Solution for x/(x+4)=(x-9)/(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:-4) U (-4:-1) U (-1:+oo)

x/(x+4) = (x-9)/(x+1) // - (x-9)/(x+1)

x/(x+4)-((x-9)/(x+1)) = 0

x/(x+4)+(-1*(x-9))/(x+1) = 0

(x*(x+1))/((x+4)*(x+1))+(-1*(x-9)*(x+4))/((x+4)*(x+1)) = 0

x*(x+1)-1*(x-9)*(x+4) = 0

6*x+36 = 0

(6*x+36)/((x+4)*(x+1)) = 0

(6*x+36)/((x+4)*(x+1)) = 0 // * (x+4)*(x+1)

6*x+36 = 0

6*x+36 = 0 // - 36

6*x = -36 // : 6

x = -36/6

x = -6

x = -6

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