5a/x=5b/x-1

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Solution for 5a/x=5b/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

(5*a)/x = (5*b)/x-1 // - (5*b)/x-1

(5*a)/x-((5*b)/x)+1 = 0

(5*a)/x-5*b*x^-1+1 = 0

5*a*x^-1-5*b*x^-1+1 = 0

t_1 = x^-1

5*a*t_1^1-5*b*t_1^1+1 = 0

1-5*b*t_1 = 0 // - 1

-5*b*t_1 = -1 // : -5*b

t_1 = -1/(-5*b)

t_1 = -1/(-5*b)

x^-1-(-1/(-5*b)) = 0

(-1/5)*b^-1+x^-1 = 0

1*x^-1 = -(-1/5*b^-1) // : 1

x^-1 = 1/5*b^-1

-1 < 0

1/(x^1) = 1/5*b^-1 // * x^1

1 = 1/5*b^-1*x^1 // : 1/5*b^-1

5*b = x^1

x = 5*b

x = 5*b

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