(-9/x)+(8/(x+1))+(16/((x+1)^2))

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Solution for (-9/x)+(8/(x+1))+(16/((x+1)^2)) equation: 


D( x )

x = 0

x+1 = 0

(x+1)^2 = 0

x = 0

x = 0

x+1 = 0

x+1 = 0

x+1 = 0 // - 1

x = -1

(x+1)^2 = 0

(x+1)^2 = 0

x+1 = 0 // - 1

x = -1

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

8/(x+1)+16/((x+1)^2)-9/x = 0

(8*x*(x+1))/(x*(x+1)^2)+(16*x)/(x*(x+1)^2)+(-9*(x+1)^2)/(x*(x+1)^2) = 0

8*x*(x+1)-9*(x+1)^2+16*x = 0

8*x^2-9*x^2+24*x-18*x-9 = 0

6*x-x^2-9 = 0

6*x-x^2-9 = 0

6*x-x^2-9 = 0

DELTA = 6^2-(-9*(-1)*4)

DELTA = 0

x = -6/(-1*2)

x = 3 or x = 3

(x-3)^2 = 0

((x-3)^2)/(x*(x+1)^2) = 0

((x-3)^2)/(x*(x+1)^2) = 0 // * x*(x+1)^2

(x-3)^2 = 0

x-3 = 0 // + 3

x = 3

x in { 3, 3 }

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