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

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


D( x )

x+2 = 0

x+3 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:-2) U (-2:+oo)

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

5/(x+2)-(-3/(x+3)) = 0

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

5/(x+2)+3/(x+3) = 0

(5*(x+3))/((x+2)*(x+3))+(3*(x+2))/((x+2)*(x+3)) = 0

5*(x+3)+3*(x+2) = 0

8*x+21 = 0

(8*x+21)/((x+2)*(x+3)) = 0

(8*x+21)/((x+2)*(x+3)) = 0 // * (x+2)*(x+3)

8*x+21 = 0

8*x+21 = 0 // - 21

8*x = -21 // : 8

x = -21/8

x = -21/8

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