8t^2/3=t/3+1/2

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Solution for 8t^2/3=t/3+1/2 equation: 


t in (-oo:+oo)

(8*t^2)/3 = t/3+1/2 // - t/3+1/2

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

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

8/3*t^2-1/3*t-1/2 = 0

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

DELTA = 49/9

DELTA > 0

t = ((49/9)^(1/2)+1/3)/(2*8/3) or t = (1/3-(49/9)^(1/2))/(2*8/3)

t = 1/2 or t = -3/8

t in { -3/8, 1/2 }

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