6x-(1/3)=3x^2

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Solution for 6x-(1/3)=3x^2 equation: 


x in (-oo:+oo)

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

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

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

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

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

DELTA = 32

DELTA > 0

x = (32^(1/2)-6)/(-3*2) or x = (-32^(1/2)-6)/(-3*2)

x = (4*2^(1/2)-6)/(-6) or x = (-4*2^(1/2)-6)/(-6)

x in { (4*2^(1/2)-6)/(-6), (-4*2^(1/2)-6)/(-6) }

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