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

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


D( x )

x+5 = 0

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

x-4 = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

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

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

( x+5 )

x+5 = 0 // - 5

x = -5

( x-4 )

x-4 = 0 // + 4

x = 4

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:-5) U (-5:4) U (4:+oo)

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

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

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

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

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

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

5*x-3-2 = 0

5*x-5 = 0

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

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

5*x-5 = 0

5*x-5 = 0 // + 5

5*x = 5 // : 5

x = 5/5

x = 1

x = 1

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