Đáp án + Giải thích các bước giải:
`7/(8x) - (x-1)/[2x(x-2)]-1/(8x-16)=(x-5)/[4x^2-8x](ĐKXĐ : xne0,xne2)` $\\$ `<=> 7/(8x) - (x-1)/[2x(x-2)]-1/[8(x-2)]=(x-5)/[4x(x-2)]` $\\$ `<=> [7(x-2)]/[8x(x-2)] - [(x-1)*4]/[8x(x-2)]-x/[8x(x-2)] = [(x-5)*2]/[8x(x-2)]` $\\$ `=> 7(x - 2) - (x - 1)*4 - x = (x - 5)*2` $\\$ `<=> 7x - 14 - (4x - 4) - x = 2x - 10` $\\$ `<=> 7x - 14 - 4x + 4 - x - 2x + 10 = 0` $\\$ `<=>x+0=0 <=> x = 0(KTM)`
Vậy `S = emptyset`