2a+5/3a-4*(3a^2+2a-8)

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Solution for 2a+5/3a-4*(3a^2+2a-8) equation:


a in (-oo:+oo)

2*a-(4*(3*a^2+2*a-8))+(5/3)*a = 0

2*a-4*(3*a^2+2*a-8)+(5/3)*a = 0

2*a-4*(3*a^2+2*a-8)+(5*a)/3 = 0

(-4*3*(3*a^2+2*a-8))/3+(2*3*a)/3+(5*a)/3 = 0

2*3*a-4*3*(3*a^2+2*a-8)+5*a = 0

5*a-36*a^2-18*a+96 = 0

96-36*a^2-13*a = 0

96-36*a^2-13*a = 0

96-36*a^2-13*a = 0

DELTA = (-13)^2-(-36*4*96)

DELTA = 13993

DELTA > 0

a = (13993^(1/2)+13)/(-36*2) or a = (13-13993^(1/2))/(-36*2)

a = (13993^(1/2)+13)/(-72) or a = (13-13993^(1/2))/(-72)

(a-((13993^(1/2)+13)/(-72)))*(a-((13-13993^(1/2))/(-72))) = 0

((a-((13993^(1/2)+13)/(-72)))*(a-((13-13993^(1/2))/(-72))))/3 = 0

((a-((13993^(1/2)+13)/(-72)))*(a-((13-13993^(1/2))/(-72))))/3 = 0 // * 3

(a-((13993^(1/2)+13)/(-72)))*(a-((13-13993^(1/2))/(-72))) = 0

( a-((13-13993^(1/2))/(-72)) )

a-((13-13993^(1/2))/(-72)) = 0 // + (13-13993^(1/2))/(-72)

a = (13-13993^(1/2))/(-72)

( a-((13993^(1/2)+13)/(-72)) )

a-((13993^(1/2)+13)/(-72)) = 0 // + (13993^(1/2)+13)/(-72)

a = (13993^(1/2)+13)/(-72)

a in { (13-13993^(1/2))/(-72), (13993^(1/2)+13)/(-72) }

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