((x)/((x-3)(x+4)))=(((2)/(x-3))-((5)/(x+4)))

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Solution for ((x)/((x-3)(x+4)))=(((2)/(x-3))-((5)/(x+4))) equation: 


D( x )

x+4 = 0

x-3 = 0

(x-3)*(x+4) = 0

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

(x-3)*(x+4) = 0

(x-3)*(x+4) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-3 )

x-3 = 0 // + 3

x = 3

x in (-oo:-4) U (-4:3) U (3:+oo)

x/((x-3)*(x+4)) = 2/(x-3)-(5/(x+4)) // - 2/(x-3)-(5/(x+4))

x/((x-3)*(x+4))-(2/(x-3))+5/(x+4) = 0

x/((x-3)*(x+4))-2*(x-3)^-1+5/(x+4) = 0

x/((x-3)*(x+4))-2/(x-3)+5/(x+4) = 0

x/((x-3)*(x+4))+(-2*(x+4))/((x-3)*(x+4))+(5*(x-3))/((x-3)*(x+4)) = 0

5*(x-3)-2*(x+4)+x = 0

5*x-x-15-8 = 0

4*x-23 = 0

(4*x-23)/((x-3)*(x+4)) = 0

(4*x-23)/((x-3)*(x+4)) = 0 // * (x-3)*(x+4)

4*x-23 = 0

4*x-23 = 0 // + 23

4*x = 23 // : 4

x = 23/4

x = 23/4

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