6/(x+2)-(2x+2)/x

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Solution for 6/(x+2)-(2x+2)/x equation: 


D( x )

x+2 = 0

x = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x = 0

x = 0

x in (-oo:-2) U (-2:0) U (0:+oo)

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

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

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

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

-2*x^2-4 = 0

(-2*x^2-4)/(x*(x+2)) = 0

(-2*x^2-4)/(x*(x+2)) = 0 // * x*(x+2)

-2*x^2-4 = 0

-2*x^2 = 4 // : -2

x^2 = -2

x belongs to the empty set

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