X/x-6+2=6/x-6

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Solution for X/x-6+2=6/x-6 equation: 


D( x )

x = 0

x = 0

x = 0

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

X/x-6+2 = 6/x-6 // - 6/x-6

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

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

X*x^-1-6*x^-1+2 = 0

t_1 = x^-1

X*t_1^1-6*t_1^1+2 = 0

2-6*t_1 = 0 // - 2

-6*t_1 = -2 // : -6

t_1 = -2/(-6)

t_1 = 1/3

t_1 = 1/3

x^-1-1/3 = 0

1*x^-1 = 1/3 // : 1

x^-1 = 1/3

-1 < 0

1/(x^1) = 1/3 // * x^1

1 = 1/3*x^1 // : 1/3

3 = x^1

x = 3

x = 3

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