1/x+1/((-0.2)x)=1/(-20)

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Solution for 1/x+1/((-0.2)x)=1/(-20) equation: 


D( x )

x = 0

-0.2*x = 0

x = 0

x = 0

-0.2*x = 0

-0.2*x = 0

-0.2*x = 0 // : -0.2

x = 0

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

1/x+1/(-0.2*x) = 1/(-20) // - 1/(-20)

1/x+1/(-0.2*x)-(1/(-20)) = 0

1/x+1/(-0.2*x)+1/20 = 0

-4*x^-1 = -1/20 // : -4

x^-1 = 1/80

-1 < 0

1/(x^1) = 1/80 // * x^1

1 = 1/80*x^1 // : 1/80

80 = x^1

x = 80

x = 80

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