\(\left|2x-3\right|-4x-9=0\)
<=> \(\left|2x-3\right|=4x+9\)
<=> \(\orbr{\begin{cases}2x-3=4x+9\left(x\ge\frac{3}{2}\right)\\3-2x=4x+9\left(x< \frac{3}{2}\right)\end{cases}}\) <=> \(\orbr{\begin{cases}2x=-12\\6x=-6\end{cases}}\) <=> \(\orbr{\begin{cases}x=-6\left(ktm\right)\\x=-1\left(tm\right)\end{cases}}\)
\(\left(x+1\right)^2-\left|5-3x\right|-x=x\left(x+2\right)+4\)
<=> \(\left|5-3x\right|=x^2+2x+1-x-x^2-2x-4\)
<=> \(\left|5-3x\right|=-x-3\)
<=> \(\orbr{\begin{cases}5-3x=-x-3\left(x\le\frac{5}{3}\right)\\5-3x=x+3\left(x>\frac{5}{3}\right)\end{cases}}\) <=> \(\orbr{\begin{cases}2x=8\\4x=2\end{cases}}\) <=> \(\orbr{\begin{cases}x=4\left(ktm\right)\\x=\frac{1}{2}\left(ktm\right)\end{cases}}\)
=> pt vô nghiệm