`d)(x-3)/(X+1)=x^2/(x^2-1)(xne+-1)`

`<=>(x-3)/(x+1)=x^2/((x-1)(x+1))`

`=>(x-1)(x-3)=x^2`

`<=>x^2-4x+3=x^2`

`<=>3=4x`

`<=>x=3/4`

`e)(5+x)/(3x-6)-(2x-3)/(2x-4)=1/2(xne2)`

`=>2(5+x)-3(2x-3)=3(x-2)`

`<=>10+2x-6x+9=3x-6`

`<=>7x=25`

`<=>x=25/7`

`g)2/(x-9)=9/(x+12)(xne9;xne-12)`

`=>2(x+12)=9(x-9)`

`<=>2x+24=9x-81`

`<=>105=7x`

`<=>x=15`

`h)(6x-x^2)/(x^2-2x)+x/(x-2)=3/x(xne0;xne2)`

`<=>(6-x)/(x-2)+x/(X-2)=3/x`

`<=>6/(x-2)=3/x`

`=>6x=3x-6`

`<=>x=-2`

`i)x/(x+3)-(2x-1)/(3-x)=(2x^2+4x)/(x^2-9)(xne+-3)`

`=>x(x-3)+(2x-1)(x+3)=2x^2+4x`

`<=>x^2-3x+2x^2+5x-3=2x^2+4x`

`<=>x^2-2x-3=0`

`<=>[(x=-1),(x=3(l)):}`