` \color{#0074D9}{#n}\color{#0088DD}{q}\color{#3399FF}{o}\color{#66AAFF}{c}\color{#99CCFF}{c} `

`{2x+1}/{x+1} + 2/x = 2/{x(x+1)}` ĐKXĐ `: x \ne 0 ; x \ne - 1 `

`{x(2x+1)}/{x(x+1)} + {2(x+1)}/{x(x+1)} = 2/{x(x+1)}`

`x(2x+1) + 2(x+1) = 2 `

`2x^2 + x + 2x + 2 = 2 `

`2x^2 + 3x = 0 `

`x(2x+3)=0`

`x=0` hoặc `2x+3=0`

`TH1 : x=0` (không thỏa)

`TH2: 2x+3=0`

`2x=-3`

`x=-3/2` (thỏa)

Vậy `x=-3/2`