2x-6/x=x-3/3

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Solution for 2x-6/x=x-3/3 equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

1*x^1-6*x^-1+1*x^0 = 0

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

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

x^1

x^2+x-6 = 0

x^2+x-6 = 0

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

DELTA = 25

DELTA > 0

x = (25^(1/2)-1)/(1*2) or x = (-25^(1/2)-1)/(1*2)

x = 2 or x = -3

x in { -3, 2} 

x in { -3, 2 }

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