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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

3*x^2-6*x = 0

3*x^2-6*x = 0

3*x*(x-2) = 0

x-2 = 0 // + 2

x = 2

3*x*(x-2) = 0

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

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

3*x*(x-2) = 0

( 3*x )

3*x = 0 // : 3

x = 0

( x-2 )

x-2 = 0 // + 2

x = 2

x in { 0} 

x = 2

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