(6x^5-9x^2)/3x^3

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Solution for (6x^5-9x^2)/3x^3 equation: 


x in (-oo:+oo)

x^3*((6*x^5-(9*x^2))/3) = 0

x^3*((6*x^5-9*x^2)/3) = 0

(x^3*(6*x^5-9*x^2))/3 = 0

6*x^5-9*x^2 = 0

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

2*x^3 = 3 // : 2

x^3 = 3/2

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

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

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

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

( 3*x^2 )

3*x^2 = 0 // : 3

x^2 = 0

x = 0

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

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

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

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

x in { 0, (3/2)^(1/3), 0 }

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