5/3p+2/3=(5+p)/2p

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Solution for 5/3p+2/3=(5+p)/2p equation: 


p in (-oo:+oo)

(5/3)*p+2/3 = p*((p+5)/2) // - p*((p+5)/2)

(5/3)*p-(p*((p+5)/2))+2/3 = 0

(-1*p*(p+5))/2+(5*p)/3+2/3 = 0

(-1*3*p*(p+5))/(2*3)+(2*5*p)/(2*3)+(2^2)/(2*3) = 0

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

4-3*p^2-5*p = 0

4-3*p^2-5*p = 0

4-3*p^2-5*p = 0

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

DELTA = 73

DELTA > 0

p = (73^(1/2)+5)/(-3*2) or p = (5-73^(1/2))/(-3*2)

p = (73^(1/2)+5)/(-6) or p = (5-73^(1/2))/(-6)

(p-((73^(1/2)+5)/(-6)))*(p-((5-73^(1/2))/(-6))) = 0

((p-((73^(1/2)+5)/(-6)))*(p-((5-73^(1/2))/(-6))))/(2*3) = 0

((p-((73^(1/2)+5)/(-6)))*(p-((5-73^(1/2))/(-6))))/(2*3) = 0 // * 2*3

(p-((73^(1/2)+5)/(-6)))*(p-((5-73^(1/2))/(-6))) = 0

( p-((5-73^(1/2))/(-6)) )

p-((5-73^(1/2))/(-6)) = 0 // + (5-73^(1/2))/(-6)

p = (5-73^(1/2))/(-6)

( p-((73^(1/2)+5)/(-6)) )

p-((73^(1/2)+5)/(-6)) = 0 // + (73^(1/2)+5)/(-6)

p = (73^(1/2)+5)/(-6)

p in { (5-73^(1/2))/(-6), (73^(1/2)+5)/(-6) }

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