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

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


D( x )

(x^3)/49-x^2 = 0

(x^3)/49-x^2 = 0

(x^3)/49-x^2 = 0

1/49*x^3-x^2 = 0

x^2*(1/49*x-1) = 0

1/49*x-1 = 0 // + 1

1/49*x = 1 // : 1/49

x = 1/1/49

x = 49

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:49) U (49:+oo)

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

(-6/7*x)/(1/49*x^3-x^2) = 0

1/49*x^3-x^2 = 0

x^2*(1/49*x-1) = 0

1/49*x-1 = 0 // + 1

1/49*x = 1 // : 1/49

x = 1/1/49

x = 49

x^2*(x-49) = 0

(-6/7*x)/(x^2*(x-49)) = 0

-6/7*x = 0 // : -6/7

x = 0

x in { 0} 

x belongs to the empty set

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