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

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Solution for 1/4*(4x-x^3)=0 equation: 


x in (-oo:+oo)

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

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

4*x-x^3 = 0

x*(4-x^2) = 0

-1*x^2 = -4 // : -1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x*(x-2)*(x+2) = 0

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

( 1/4 )

1/4 = 0

x belongs to the empty set

( x+2 )

x+2 = 0 // - 2

x = -2

( x-2 )

x-2 = 0 // + 2

x = 2

( x )

x = 0

x in { -2, 2, 0 }

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