5/(x-2)=((-6)/(x+3))+36/((x-2)(x+3))

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Solution for 5/(x-2)=((-6)/(x+3))+36/((x-2)(x+3)) equation: 


D( x )

x-2 = 0

x+3 = 0

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

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

( x+3 )

x+3 = 0 // - 3

x = -3

( x-2 )

x-2 = 0 // + 2

x = 2

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

5/(x-2) = 36/((x-2)*(x+3))-6/(x+3) // - 36/((x-2)*(x+3))-6/(x+3)

5/(x-2)-(-6/(x+3))-(36/((x-2)*(x+3))) = 0

5/(x-2)+6*(x+3)^-1-36*(x-2)^-1*(x+3)^-1 = 0

5/(x-2)+6/(x+3)-36/((x-2)*(x+3)) = 0

(5*(x+3))/((x-2)*(x+3))+(6*(x-2))/((x-2)*(x+3))-36/((x-2)*(x+3)) = 0

5*(x+3)+6*(x-2)-36 = 0

11*x-36+3 = 0

11*x-33 = 0

(11*x-33)/((x-2)*(x+3)) = 0

(11*x-33)/((x-2)*(x+3)) = 0 // * (x-2)*(x+3)

11*x-33 = 0

11*x-33 = 0 // + 33

11*x = 33 // : 11

x = 33/11

x = 3

x = 3

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