(((3x^5)/(7-x))/((7x)/(49-x^2)))

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Solution for (((3x^5)/(7-x))/((7x)/(49-x^2))) equation: 


D( x )

7-x = 0

(7*x)/(49-x^2) = 0

49-x^2 = 0

7-x = 0

7-x = 0

7-x = 0 // - 7

-x = -7 // * -1

x = 7

(7*x)/(49-x^2) = 0

(7*x)/(49-x^2) = 0

7*x = 0 // : 7

x = 0

49-x^2 = 0

49-x^2 = 0

-1*x^2 = -49 // : -1

x^2 = 49

x^2 = 49 // ^ 1/2

abs(x) = 7

x = 7 or x = -7

x in (-oo:-7) U (-7:0) U (0:7) U (7:+oo)

((3*x^5)/(7-x))/((7*x)/(49-x^2)) = 0

(3*x^5*(49-x^2))/(7*x*(7-x)) = 0

( 3*x^5 )

3*x^5 = 0 // : 3

x^5 = 0

x = 0

( 49-x^2 )

-1*x^2 = -49 // : -1

x^2 = 49

x^2 = 49 // ^ 1/2

abs(x) = 7

x = 7 or x = -7

x in { 0} 

x in { 7} 

x in { -7} 

x belongs to the empty set

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