3p+(12p+6)2/3+2p

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Solution for 3p+(12p+6)2/3+2p equation: 


p in (-oo:+oo)

((12*p+6)^2)/3+3*p+2*p = 0

((12*p+6)^2)/3+(3*3*p)/3+(2*3*p)/3 = 0

(12*p+6)^2+3*3*p+2*3*p = 0

144*p^2+153*p+6*p+36 = 0

144*p^2+159*p+36 = 0

144*p^2+159*p+36 = 0

3*(48*p^2+53*p+12) = 0

48*p^2+53*p+12 = 0

DELTA = 53^2-(4*12*48)

DELTA = 505

DELTA > 0

p = (505^(1/2)-53)/(2*48) or p = (-505^(1/2)-53)/(2*48)

p = (505^(1/2)-53)/96 or p = (-(505^(1/2)+53))/96

3*(p+(505^(1/2)+53)/96)*(p-((505^(1/2)-53)/96)) = 0

(3*(p+(505^(1/2)+53)/96)*(p-((505^(1/2)-53)/96)))/3 = 0

(3*(p+(505^(1/2)+53)/96)*(p-((505^(1/2)-53)/96)))/3 = 0 // * 3

3*(p+(505^(1/2)+53)/96)*(p-((505^(1/2)-53)/96)) = 0

( p+(505^(1/2)+53)/96 )

p+(505^(1/2)+53)/96 = 0 // - (505^(1/2)+53)/96

p = -((505^(1/2)+53)/96)

( p-((505^(1/2)-53)/96) )

p-((505^(1/2)-53)/96) = 0 // + (505^(1/2)-53)/96

p = (505^(1/2)-53)/96

p in { -((505^(1/2)+53)/96), (505^(1/2)-53)/96 }

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