(2)/(3x)=(x)/(6)

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


D( x )

3*x = 0

3*x = 0

3*x = 0

3*x = 0 // : 3

x = 0

x in (-oo:0) U (0:+oo)

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

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

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

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

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

x^1

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

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

DELTA = 0^2-(4*(-1/6)*(2/3))

DELTA = 4/9

DELTA > 0

x = ((4/9)^(1/2)+0)/(2*(-1/6)) or x = (0-(4/9)^(1/2))/(2*(-1/6))

x = -2 or x = 2

x in { -2, 2} 

x in { -2, 2 }

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