\(\left|2x-5\right|+2x-5=0\)
\(\Leftrightarrow\left|2x-5\right|=-2x+5\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-5=-2x+5\\2x-5=2x-5\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x+2x=5+5\\2x-2x=-5+5\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}4x=10\\0x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=0\end{matrix}\right.\)
Vậy ..
\(\left|2x-5\right|+2x-5=0\)
\(\Rightarrow\left|2x-5\right|=-2x+5\)
\(\Rightarrow\left[{}\begin{matrix}2x-5=-2x+5\\2x-5=2x-5\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x+2x=5+5\\2x-2x=-5+5\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}4x=10\\0x=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=0\end{matrix}\right.\)
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