4/x=7/(x-5)

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Solution for 4/x=7/(x-5) equation: 


D( x )

x-5 = 0

x = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x = 0

x = 0

x in (-oo:0) U (0:5) U (5:+oo)

4/x = 7/(x-5) // - 7/(x-5)

4/x-(7/(x-5)) = 0

4/x-7*(x-5)^-1 = 0

4/x-7/(x-5) = 0

(-7*x)/(x*(x-5))+(4*(x-5))/(x*(x-5)) = 0

4*(x-5)-7*x = 0

-3*x-20 = 0

(-3*x-20)/(x*(x-5)) = 0

(-3*x-20)/(x*(x-5)) = 0 // * x*(x-5)

-3*x-20 = 0

-3*x-20 = 0 // + 20

-3*x = 20 // : -3

x = 20/(-3)

x = -20/3

x = -20/3

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