((x^3)/6)-8x=((x^2)/3)

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Solution for ((x^3)/6)-8x=((x^2)/3) equation: 


x in (-oo:+oo)

(x^3)/6-(8*x) = (x^2)/3 // - (x^2)/3

(x^3)/6-((x^2)/3)-(8*x) = 0

(x^3)/6-((x^2)/3)-8*x = 0

1/6*x^3-1/3*x^2-8*x = 0

x*(1/6*x^2-1/3*x-8) = 0

1/6*x^2-1/3*x-8 = 0

DELTA = (-1/3)^2-(-8*1/6*4)

DELTA = 49/9

DELTA > 0

x = ((49/9)^(1/2)+1/3)/(1/6*2) or x = (1/3-(49/9)^(1/2))/(1/6*2)

x = 8 or x = -6

x = 0

x = 0

x in { -6, 8, 0 }

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