a) \(x\left(5+3x\right)-\left(x+1\right)\left(3x-2\right)=12\)
\(5x+3x^2-3x^2+2x-3x+2=12\)
\(4x=10\)
\(x=\frac{5}{2}\)
vậy \(x=\frac{5}{2}\)
\(13x\left(x-8\right)-x+8=0\)
\(13x\left(x-8\right)-\left(x-8\right)=0\)
\(\left(13x-1\right)\left(x-8\right)=0\)
\(\Rightarrow\orbr{\begin{cases}13x-1=0\\x-8=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{1}{13}\\x=8\end{cases}}\)
vậy \(\orbr{\begin{cases}x=\frac{1}{13}\\x=8\end{cases}}\)