(6x^6-12x^3)/3x^3

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Solution for (6x^6-12x^3)/3x^3 equation: 


x in (-oo:+oo)

x^3*((6*x^6-(12*x^3))/3) = 0

x^3*((6*x^6-12*x^3)/3) = 0

(x^3*(6*x^6-12*x^3))/3 = 0

6*x^6-12*x^3 = 0

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

1*x^3 = 2 // : 1

x^3 = 2

x^3 = 2 // ^ 1/3

x = 2^(1/3)

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

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

( 6*x^3 )

6*x^3 = 0 // : 6

x^3 = 0

x = 0

( x-2^(1/3) )

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

x = 2^(1/3)

( x^3 )

1*x^3 = 0 // : 1

x^3 = 0

x = 0

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

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