6x^2=12x-16/3

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Solution for 6x^2=12x-16/3 equation: 


x in (-oo:+oo)

6*x^2 = 12*x-(16/3) // - 12*x-(16/3)

6*x^2-(12*x)+16/3 = 0

6*x^2-12*x+16/3 = 0

6*x^2-12*x+16/3 = 0

DELTA = (-12)^2-(4*16/3*6)

DELTA = 16

DELTA > 0

x = (16^(1/2)+12)/(2*6) or x = (12-16^(1/2))/(2*6)

x = 4/3 or x = 2/3

x in { 2/3, 4/3 }

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