5x/(x+3)=5-15/(x+3)

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Solution for 5x/(x+3)=5-15/(x+3) equation:


D( x )

x+3 = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

(5*x)/(x+3) = 5-(15/(x+3)) // - 5-(15/(x+3))

(5*x)/(x+3)+15/(x+3)-5 = 0

(5*x)/(x+3)+15/(x+3)+(-5*(x+3))/(x+3) = 0

5*x-5*(x+3)+15 = 0

5*x-5*x-15+15 = 0

0 = 0

0/(x+3) = 0

0/(x+3) = 0 // * x+3

0 = 0

x belongs to the empty set

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