c^3+8/c^5-4c^3

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Solution for c^3+8/c^5-4c^3 equation: 


D( c )

c^5 = 0

c^5 = 0

c^5 = 0

1*c^5 = 0 // : 1

c^5 = 0

c = 0

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

c^3-(4*c^3)+8/(c^5) = 0

c^3-4*c^3+8/(c^5) = 0

8*c^-5-3*c^3 = 0

c^3*(8*c^-8-3) = 0

8*c^-8 = 3 // : 8

c^-8 = 3/8

-8 < 0

1/(c^8) = 3/8 // * c^8

1 = 3/8*c^8 // : 3/8

8/3 = c^8

c^8 = 8/3 // ^ 1/8

abs(c) = (8/3)^(1/8)

c = (8/3)^(1/8) or c = -(8/3)^(1/8)

c^3 = 0

1*c^3 = 0 // : 1

c^3 = 0

c = 0

c in { 0} 

c in { (8/3)^(1/8), -(8/3)^(1/8) }

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