((x^2+10x+25)/(x^3+125))*((2)/(x+5))

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Solution for ((x^2+10x+25)/(x^3+125))*((2)/(x+5)) equation: 


D( x )

x^3+125 = 0

x+5 = 0

x^3+125 = 0

x^3+125 = 0

1*x^3 = -125 // : 1

x^3 = -125

x^3 = -125 // ^ 1/3

x = -5

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x in (-oo:-5) U (-5:+oo)

((x^2+10*x+25)/(x^3+125))*(2/(x+5)) = 0

(2*(x^2+10*x+25))/((x^3+125)*(x+5)) = 0

x^2+10*x+25 = 0

x^2+10*x+25 = 0

DELTA = 10^2-(1*4*25)

DELTA = 0

x = -10/(1*2)

x = -5 or x = -5

(x+5)^2 = 0

(2*(x+5))/(x^3+125) = 0

x+5 = 0 // - 5

x = -5

x in { -5} 

x belongs to the empty set

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