(27x^6-12x^5)/(3x^2)

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Solution for (27x^6-12x^5)/(3x^2) equation: 


D( x )

3*x^2 = 0

3*x^2 = 0

3*x^2 = 0

3*x^2 = 0 // : 3

x^2 = 0

x = 0

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

(27*x^6-(12*x^5))/(3*x^2) = 0

(27*x^6-12*x^5)/(3*x^2) = 0

27*x^6-12*x^5 = 0

3*x^5*(9*x-4) = 0

9*x-4 = 0 // + 4

9*x = 4 // : 9

x = 4/9

3*x^5*(x-4/9) = 0

(3*x^5*(x-4/9))/(3*x^2) = 0

( 3*x^5 )

3*x^5 = 0 // : 3

x^5 = 0

x = 0

( x-4/9 )

x-4/9 = 0 // + 4/9

x = 4/9

x in { 0} 

x = 4/9

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