3/x=2/y-1/z

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Solution for 3/x=2/y-1/z equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x = 2/y-(1/z) // - 2/y-(1/z)

3/x-(2/y)+1/z = 0

3/x-2*y^-1+1/z = 0

3*x^-1 = -(z^-1-2*y^-1) // : 3

x^-1 = (-(z^-1-2*y^-1))/3

-1 < 0

1/(x^1) = (-(z^-1-2*y^-1))/3 // * x^1

1 = x^1*((-(z^-1-2*y^-1))/3) // : (-(z^-1-2*y^-1))/3

-3*(z^-1-2*y^-1)^-1 = x^1

x = -3*(z^-1-2*y^-1)^-1

x = -3*(z^-1-2*y^-1)^-1

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