1/2(6n-4n3)

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Solution for 1/2(6n-4n3) equation:


n in (-oo:+oo)

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

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

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

6*n-4*n^3 = 0

2*n*(3-2*n^2) = 0

-2*n^2 = -3 // : -2

n^2 = 3/2

n^2 = 3/2 // ^ 1/2

abs(n) = (3/2)^(1/2)

n = (3/2)^(1/2) or n = -(3/2)^(1/2)

2*n*(n-(3/2)^(1/2))*(n+(3/2)^(1/2)) = 0

1/2*2*n*(n-(3/2)^(1/2))*(n+(3/2)^(1/2)) = 0

( 1/2 )

1/2 = 0

n belongs to the empty set

( 2*n )

2*n = 0 // : 2

n = 0

( n+(3/2)^(1/2) )

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

n = -(3/2)^(1/2)

( n-(3/2)^(1/2) )

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

n = (3/2)^(1/2)

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

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