(10/x)-(15/(x-3))

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Solution for (10/x)-(15/(x-3)) equation: 


D( x )

x = 0

x-3 = 0

x = 0

x = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:0) U (0:3) U (3:+oo)

10/x-(15/(x-3)) = 0

10/x-15*(x-3)^-1 = 0

10/x-15/(x-3) = 0

(-15*x)/(x*(x-3))+(10*(x-3))/(x*(x-3)) = 0

10*(x-3)-15*x = 0

-5*x-30 = 0

(-5*x-30)/(x*(x-3)) = 0

(-5*x-30)/(x*(x-3)) = 0 // * x*(x-3)

-5*x-30 = 0

-5*x-30 = 0 // + 30

-5*x = 30 // : -5

x = 30/(-5)

x = -6

x = -6

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