a/x=3/x-a

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Solution for a/x=3/x-a equation: 


D( x )

x = 0

x = 0

x = 0

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

a/x = 3/x-a // - 3/x-a

a/x+a-(3/x) = 0

a/x+a-3*x^-1 = 0

a*x^-1+a-3*x^-1 = 0

t_1 = x^-1

a+a*t_1^1-3*t_1^1 = 0

a-3*t_1 = 0 // - a

-3*t_1 = -a // : -3

t_1 = -a/(-3)

t_1 = a/3

t_1 = a/3

x^-1-(a/3) = 0

1*x^-1 = -(-1/3*a) // : 1

x^-1 = 1/3*a

-1 < 0

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

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

3*a^-1 = x^1

x = 3*a^-1

x = 3*a^-1

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