giúp mik nhah nhen ai giải nhanh nhất cho 5 sao và 1 cảm ơn

`e)`

`2(1/2 x - 1/3) - 3/2 = 1/4`

`<=> 2 (1/2 x - 1/3) = 7/4`

`<=> 1/2 x - 1/3 = 7/8`

`<=> 1/2 x = 29/24`

`<=> x = 29/12`

Vậy `x=29/12`.

`f)`

`(1/2 +2x)(2x-3)=0`

`<=>`\(\left[ \begin{array}{l}\frac{1}{2}+2x=0\\2x-3=0\end{array} \right.\) 

`<=>`\(\left[ \begin{array}{l}2x=\frac{-1}{2}\\2x=3\end{array} \right.\) 

`<=>`\(\left[ \begin{array}{l}x=\frac{-1}{4}\\x=\frac{3}{2}\end{array} \right.\) 

Vậy `x=-1/4; x=3/2`.

`g)`

`(4x-5)(5/4 x-2)=0`

`<=>`\(\left[ \begin{array}{l}4x-5=0\\\frac{5}{4}x-2=0\end{array} \right.\) 

`<=>`\(\left[ \begin{array}{l}4x=5\\\frac{5}{4}x=2\end{array} \right.\) 

`<=>`\(\left[ \begin{array}{l}x=\frac{5}{4}\\x=\frac{8}{5}\end{array} \right.\) 

Vậy `x=5/4; x=8/5`.

`h)`

`1/4 - (2x+1/2)^2=0`

`<=> (2x+1/2)^2 = 1/4`

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

`<=>[(2x+1/2=1/2),(2x+1/2=-1/2):}`

`<=>[(2x=0),(2x=-1):}`

`<=>[(x=0),(x=-1/2):}`

Vậy `x=0; x=-1/2`.

`i)`

`25.(3x- 1/2)^2 =16`

`<=> (3x- 1/2)^2 = (4/5)^2`

`<=>`\(\left[ \begin{array}{l}3x-\frac{1}{2}=\frac{4}{5}\\3x-\frac{1}{2}=\frac{-4}{5}\end{array} \right.\) 

`<=>`\(\left[ \begin{array}{l}3x=\frac{13}{10}\\3x=\frac{-3}{10}\end{array} \right.\) 

`<=>`\(\left[ \begin{array}{l}x=\frac{13}{30}\\x=\frac{-1}{10}\end{array} \right.\) 

Vậy `x=13/30 ; x= -1/10`.

`k)`

`3(3x -1/2)^3 + 1/9=0`

`<=> 3(3x - 1/2)^3 = -1/9`

`<=> (3x -1/2)^3 = -1/27`

`<=> 3x - 1/2 = -1/3`

`<=> 3x=1/6`

`<=>x=1/18`

Vậy `x=1/18`.