(21x^6-24x^5)/(3x^2)

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Solution for (21x^6-24x^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)

(21*x^6-(24*x^5))/(3*x^2) = 0

(21*x^6-24*x^5)/(3*x^2) = 0

21*x^6-24*x^5 = 0

3*x^5*(7*x-8) = 0

7*x-8 = 0 // + 8

7*x = 8 // : 7

x = 8/7

3*x^5*(x-8/7) = 0

(3*x^5*(x-8/7))/(3*x^2) = 0

( 3*x^5 )

3*x^5 = 0 // : 3

x^5 = 0

x = 0

( x-8/7 )

x-8/7 = 0 // + 8/7

x = 8/7

x in { 0} 

x = 8/7

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