c^3/2(2c^1/2+3c^-3/2)

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Solution for c^3/2(2c^1/2+3c^-3/2) equation:


D( c )

c = 0

c = 0

c = 0

c in (-oo:0) U (0:+oo)

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

((c^3)/2)*((2*c)/2+(3*c^-3)/2) = 0

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

c+3/2*c^-3 = 0

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

3/2*c^-4 = -1 // : 3/2

c^-4 = -2/3

-4 < 0

1/(c^4) = -2/3 // * c^4

1 = -2/3*c^4 // : -2/3

-3/2 = c^4

c = 0

1/2*c*c^3 = 0

( 1/2*c^3 )

1/2*c^3 = 0 // : 1/2

c^3 = 0

c = 0

( c )

c = 0

c in { 0}

c belongs to the empty set

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