ta có 4x(x+3)=x+3
<=>4x(x+3)-(x+3)=0
<=>(x+3)(4x-1)=0
=> x+3 =0 hoặc 4x-1 =0
=>x=-3 hoặc x= 1/4
vậy x thuộc {-3; 1/4}
\(4x\left(x+3\right)=\left(x+3\right)\)
\(\Leftrightarrow4x\left(x+3\right)-\left(x+3\right)=0\)
\(\Leftrightarrow\left(x+3\right)\left(4x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+3=0\\4x-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-3\\x=\frac{1}{4}\end{cases}}}\)
\(\Leftrightarrow4x\left(x+3\right)-\left(x+3\right)=0\Leftrightarrow\left(x+3\right)\left(4x-1\right)=0\\ \)
\(\orbr{\begin{cases}x+3=0\\4x-1=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-3\\x=\frac{1}{4}\end{cases}}}\)