a/x-b/x=c

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Solution for a/x-b/x=c equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

t_1 = x^-1

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

-c-b*t_1 = 0 // + c

-b*t_1 = c // : -b

t_1 = c/(-b)

t_1 = -(b^-1*c)

t_1 = -(b^-1*c)

b^-1*c+x^-1 = 0

1*x^-1 = -(b^-1*c) // : 1

x^-1 = -(b^-1*c)

-1 < 0

1/(x^1) = -(b^-1*c) // * x^1

1 = -b^-1*(-c)*x^1 // : -(b^-1*c)

1/(-(b^-1*c)) = x^1

x = 1/(-(b^-1*c))

x = 1/(-(b^-1*c))

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