(a/x)=(b/x-b)

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Solution for (a/x)=(b/x-b) equation: 


D( x )

x = 0

x = 0

x = 0

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

a/x = b/x-b // - b/x-b

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

a*x^-1-(b*x^-1)+b = 0

t_1 = x^-1

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

b-b*t_1 = 0 // - b

-b*t_1 = -b // : -b

t_1 = -b/(-b)

t_1 = 1

t_1 = 1

x^-1-1 = 0

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

x^-1 = 1

-1 < 0

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

1 = 1*x^1 // : 1

1 = x^1

x = 1

x = 1

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