(6x^2-x^4)/9

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Solution for (6x^2-x^4)/9 equation: 


x in (-oo:+oo)

(6*x^2-x^4)/9 = 0

6*x^2-x^4 = 0

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

-1*x^2 = -6 // : -1

x^2 = 6

x^2 = 6 // ^ 1/2

abs(x) = 6^(1/2)

x = 6^(1/2) or x = -6^(1/2)

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

(x^2*(x-6^(1/2))*(x+6^(1/2)))/9 = 0

( x+6^(1/2) )

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

x = -6^(1/2)

( x-6^(1/2) )

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

x = 6^(1/2)

( x^2 )

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in { -6^(1/2), 6^(1/2), 0 }

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