(6x^5-15x^2)/x^2

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Solution for (6x^5-15x^2)/x^2 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

(6*x^5-(15*x^2))/(x^2) = 0

(6*x^5-15*x^2)/(x^2) = 0

6*x^5-15*x^2 = 0

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

2*x^3 = 5 // : 2

x^3 = 5/2

x^3 = 5/2 // ^ 1/3

x = (5/2)^(1/3)

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

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

( 3*x^2 )

3*x^2 = 0 // : 3

x^2 = 0

x = 0

( x-(5/2)^(1/3) )

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

x = (5/2)^(1/3)

x in { 0} 

x = (5/2)^(1/3)

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