((3x)/(25-x^2))/((x)/(5x))

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Solution for ((3x)/(25-x^2))/((x)/(5x)) equation: 


D( x )

x/(5*x) = 0

25-x^2 = 0

5*x = 0

x/(5*x) = 0

x/(5*x) = 0

1/5 = 0

x belongs to the empty set

25-x^2 = 0

25-x^2 = 0

-1*x^2 = -25 // : -1

x^2 = 25

x^2 = 25 // ^ 1/2

abs(x) = 5

x = 5 or x = -5

5*x = 0

5*x = 0

5*x = 0 // : 5

x = 0

x in (-oo:-5) U (-5:0) U (0:5) U (5:+oo)

((3*x)/(25-x^2))/(x/(5*x)) = 0

(3*x)/(1/5*(25-x^2)) = 0

3*x = 0 // : 3

x = 0

x in { 0} 

x belongs to the empty set

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