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

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


x in (-oo:+oo)

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

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

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

x^5-6*x = 0

x*(x^4-6) = 0

1*x^4 = 6 // : 1

x^4 = 6

x^4 = 6 // ^ 1/4

abs(x) = 6^(1/4)

x = 6^(1/4) or x = -6^(1/4)

x*(x-6^(1/4))*(x+6^(1/4)) = 0

(x*x^2*(x-6^(1/4))*(x+6^(1/4)))/3 = 0

( x+6^(1/4) )

x+6^(1/4) = 0 // - 6^(1/4)

x = -6^(1/4)

( x-6^(1/4) )

x-6^(1/4) = 0 // + 6^(1/4)

x = 6^(1/4)

( x )

x = 0

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { -6^(1/4), 6^(1/4), 0, 0 }

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