2/5-3/x=1/(5x)

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Solution for 2/5-3/x=1/(5x) equation: 


D( x )

x = 0

5*x = 0

x = 0

x = 0

5*x = 0

5*x = 0

5*x = 0 // : 5

x = 0

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

2/5-(3/x) = 1/(5*x) // - 1/(5*x)

2/5-(3/x)-(1/(5*x)) = 0

(-1/5)*x^-1-3*x^-1+2/5 = 0

-16/5*x^-1 = -2/5 // : -16/5

x^-1 = 1/8

-1 < 0

1/(x^1) = 1/8 // * x^1

1 = 1/8*x^1 // : 1/8

8 = x^1

x = 8

x = 8

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