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

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


x in (-oo:+oo)

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

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

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

2*x^6-6*x = 0

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

1*x^5 = 3 // : 1

x^5 = 3

x^5 = 3 // ^ 1/5

x = 3^(1/5)

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

(2*x*x^2*(x-3^(1/5)))/6 = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x-3^(1/5) )

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

x = 3^(1/5)

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { 0, 3^(1/5), 0 }

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