$| x + 0,25 | - 4 =$ $\dfrac{1}{4}$
$\Leftrightarrow$ $| x + 0,25 | =$ $\dfrac{17}{4}$
$\Leftrightarrow$ $\left[\begin{matrix} x+0,25=\dfrac{17}{4}\\ x+0,25=\dfrac{-17}{4}\end{matrix}\right.$
$\Leftrightarrow$ $\left[\begin{matrix} x=4\\ x=\dfrac{-9}{2}\end{matrix}\right.$
Vậy $x=4, x=\dfrac{-9}{2}$