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

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


D( x )

(5-x)/(49-x^2) = 0

49-x^2 = 0

(5-x)/(49-x^2) = 0

(5-x)/(49-x^2) = 0

5-x = 0 // - 5

-x = -5 // * -1

x = 5

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 (-7:5) U (5:7) U (7:+oo)

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

((5/7*X-x)*(49-x^2))/(5-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

( 5/7*X-x )

5/7*X-x = 0 // - 5/7*X

-x = -(5/7*X) // * -1

x = 5/7*X

x in { 7} 

x in { -7} 

x = 5/7*X

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