3a/x-4b/x=5c

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Solution for 3a/x-4b/x=5c equation:


D( x )

x = 0

x = 0

x = 0

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

(3*a)/x-((4*b)/x) = 5*c // - 5*c

(3*a)/x-((4*b)/x)-(5*c) = 0

(3*a)/x-4*b*x^-1-5*c = 0

3*a*x^-1-4*b*x^-1-5*c = 0

t_1 = x^-1

3*a*t_1^1-5*c-4*b*t_1^1 = 0

-5*c-4*b*t_1 = 0 // + -5*c

-4*b*t_1 = -(-5*c) // : -4*b

t_1 = (-(-5*c))/(-4*b)

t_1 = (5*c)/(-4*b)

t_1 = (5*c)/(-4*b)

x^-1-((5*c)/(-4*b)) = 0

(5/4)*b^-1*c+x^-1 = 0

1*x^-1 = -(5/4*b^-1*c) // : 1

x^-1 = -5/4*b^-1*c

-1 < 0

1/(x^1) = -5/4*b^-1*c // * x^1

1 = -5/4*b^-1*c*x^1 // : -5/4*b^-1*c

-4/5*b*c^-1 = x^1

x = -4/5*b*c^-1

x = -4/5*b*c^-1

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