(2/3c)=((5+c)/4c)-(5/12)

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Solution for (2/3c)=((5+c)/4c)-(5/12) equation:


c in (-oo:+oo)

(2/3)*c = c*((c+5)/4)-(5/12) // - c*((c+5)/4)-(5/12)

(2/3)*c-(c*((c+5)/4))+5/12 = 0

(-1*c*(c+5))/4+(2*c)/3+5/12 = 0

(-1*3*12*c*(c+5))/(3*4*12)+(2*4*12*c)/(3*4*12)+(3*4*5)/(3*4*12) = 0

2*4*12*c-1*3*12*c*(c+5)+3*4*5 = 0

60-36*c^2-84*c = 0

60-36*c^2-84*c = 0

12*(5-3*c^2-7*c) = 0

5-3*c^2-7*c = 0

DELTA = (-7)^2-(-3*4*5)

DELTA = 109

DELTA > 0

c = (109^(1/2)+7)/(-3*2) or c = (7-109^(1/2))/(-3*2)

c = (109^(1/2)+7)/(-6) or c = (7-109^(1/2))/(-6)

12*(c-((109^(1/2)+7)/(-6)))*(c-((7-109^(1/2))/(-6))) = 0

(12*(c-((109^(1/2)+7)/(-6)))*(c-((7-109^(1/2))/(-6))))/(3*4*12) = 0

(12*(c-((109^(1/2)+7)/(-6)))*(c-((7-109^(1/2))/(-6))))/(3*4*12) = 0 // * 3*4*12

12*(c-((109^(1/2)+7)/(-6)))*(c-((7-109^(1/2))/(-6))) = 0

( c-((109^(1/2)+7)/(-6)) )

c-((109^(1/2)+7)/(-6)) = 0 // + (109^(1/2)+7)/(-6)

c = (109^(1/2)+7)/(-6)

( c-((7-109^(1/2))/(-6)) )

c-((7-109^(1/2))/(-6)) = 0 // + (7-109^(1/2))/(-6)

c = (7-109^(1/2))/(-6)

c in { (109^(1/2)+7)/(-6), (7-109^(1/2))/(-6) }

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