`TH_1: 1/2 x + 1/4 = 0`
`=> 1/2(x + 1/2) = 0`
`=> x + 1/2 = 0`
`=> x = -1/2`
`TH_2: 2x - 1/3 =0`
`=> 2x = 1/3`
`=> x = 1/6`
Vậy `S = {1/6, -1/2}`
\(\Leftrightarrow\left[{}\begin{matrix}\dfrac{1}{2}x+\dfrac{1}{4}=0\\2x-\dfrac{1}{3}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}\dfrac{1}{2}x=-\dfrac{1}{4}\\2x=\dfrac{1}{3}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=\dfrac{1}{6}\end{matrix}\right.\)
`(1/2x + 1/4) . (2x - 1/3) = 0`
ta có 2 trường hợp là :
`=>`\(\left\{{}\begin{matrix}\dfrac{1}{2}x+\dfrac{1}{4}=0\\2x-\dfrac{1}{3}=0\end{matrix}\right.\)
TH1:
`1/2x + 1/4 = 0`
`=> 1/2x = -1/4`
`=> x = -1/2`
________________
TH2:
`2x - 1/3 = 0`
`=> 2x = 1/3`
`=> x = 1/6`
=> `x = {-1/2 ; 1/6}`