(9x^8-6x^5)/(3x)

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Solution for (9x^8-6x^5)/(3x) equation: 


D( x )

3*x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

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

(9*x^8-(6*x^5))/(3*x) = 0

(9*x^8-6*x^5)/(3*x) = 0

9*x^8-6*x^5 = 0

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

3*x^3 = 2 // : 3

x^3 = 2/3

x^3 = 2/3 // ^ 1/3

x = (2/3)^(1/3)

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

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

( 3*x^5 )

3*x^5 = 0 // : 3

x^5 = 0

x = 0

( x-(2/3)^(1/3) )

x-(2/3)^(1/3) = 0 // + (2/3)^(1/3)

x = (2/3)^(1/3)

x in { 0} 

x = (2/3)^(1/3)

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