(25x^3-x)/(5x-1)

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Solution for (25x^3-x)/(5x-1) equation: 


D( x )

5*x-1 = 0

5*x-1 = 0

5*x-1 = 0

5*x-1 = 0 // + 1

5*x = 1 // : 5

x = 1/5

x in (-oo:1/5) U (1/5:+oo)

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

25*x^3-x = 0

x*(25*x^2-1) = 0

25*x^2 = 1 // : 25

x^2 = 1/25

x^2 = 1/25 // ^ 1/2

abs(x) = 1/5

x = 1/5 or x = -1/5

x*(x-1/5)*(x+1/5) = 0

(x*(x-1/5)*(x+1/5))/(5*x-1) = 0

( x+1/5 )

x+1/5 = 0 // - 1/5

x = -1/5

( x-1/5 )

x-1/5 = 0 // + 1/5

x = 1/5

( x )

x = 0

x in { 1/5} 

x in { -1/5, 0 }

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