c/3-1/c=5c+7/15

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Solution for c/3-1/c=5c+7/15 equation: 


D( c )

c = 0

c = 0

c = 0

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

c/3-(1/c) = 5*c+7/15 // - 5*c+7/15

c/3-(5*c)-(1/c)-(7/15) = 0

c/3-5*c-c^-1-7/15 = 0

-14/3*c^1-1*c^-1-7/15*c^0 = 0

(-14/3*c^2-7/15*c^1-1*c^0)/(c^1) = 0 // * c^2

c^1*(-14/3*c^2-7/15*c^1-1*c^0) = 0

c^1

(-14/3)*c^2+(-7/15)*c-1 = 0

(-14/3)*c^2+(-7/15)*c-1 = 0

DELTA = (-7/15)^2-(-1*4*(-14/3))

DELTA = -4151/225

DELTA < 0

c in { } 

c belongs to the empty set

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