6/x=4/6x

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Solution for 6/x=4/6x equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x = (4/6)*x // - (4/6)*x

6/x-((4/6)*x) = 0

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

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

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

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

x^1

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

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

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

DELTA = 16

DELTA > 0

x = (16^(1/2)+0)/(2*(-2/3)) or x = (0-16^(1/2))/(2*(-2/3))

x = -3 or x = 3

x in { -3, 3} 

x in { -3, 3 }

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