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

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Solution for (x/(x+9))+(9/(x+9))+4=0 equation: 


D( x )

x+9 = 0

x+9 = 0

x+9 = 0

x+9 = 0 // - 9

x = -9

x in (-oo:-9) U (-9:+oo)

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

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

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

x+4*x+9+36 = 0

5*x+45 = 0

(5*x+45)/(x+9) = 0

(5*x+45)/(x+9) = 0 // * x+9

5*x+45 = 0

5*x+45 = 0 // - 45

5*x = -45 // : 5

x = -45/5

x = -9

x in { -9} 

x belongs to the empty set

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