(4x^6-6x^3)/2x^3

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Solution for (4x^6-6x^3)/2x^3 equation: 


x in (-oo:+oo)

x^3*((4*x^6-(6*x^3))/2) = 0

x^3*((4*x^6-6*x^3)/2) = 0

(x^3*(4*x^6-6*x^3))/2 = 0

4*x^6-6*x^3 = 0

2*x^3*(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)

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

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

( 2*x^3 )

2*x^3 = 0 // : 2

x^3 = 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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