(6x^8-10x^9)/(x^3)

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Solution for (6x^8-10x^9)/(x^3) equation: 


D( x )

x^3 = 0

x^3 = 0

x^3 = 0

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

(6*x^8-(10*x^9))/(x^3) = 0

(6*x^8-10*x^9)/(x^3) = 0

6*x^8-10*x^9 = 0

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

3-5*x = 0 // - 3

-5*x = -3 // : -5

x = -3/(-5)

x = 3/5

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

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

( 2*x^8 )

2*x^8 = 0 // : 2

x^8 = 0

x = 0

( x-3/5 )

x-3/5 = 0 // + 3/5

x = 3/5

x in { 0} 

x = 3/5

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