a) \(x\left(2x-1\right)-6x+3=0\)
\(\Leftrightarrow x\left(2x-1\right)-3\left(2x-1\right)=0\)
\(\Leftrightarrow\left(x-3\right)\left(2x-1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=0\\2x-1=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=3\\x=\frac{1}{2}\end{cases}}\)
b) \(x^2\left(x+1\right)-9x-9=0\)
\(\Leftrightarrow x^2\left(x+1\right)-9\left(x+1\right)=0\)
\(\Leftrightarrow\left(x^2-9\right)\left(x+1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=0\\x^2-9=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=\pm\sqrt{9}=\pm3\end{cases}}\)
a) x(2x - 1) - 6x + 3 = 0
=> x(2x - 1) - 3(2x - 1) = 0
=> (x - 3)(2x - 1) = 0
=> \(\orbr{\begin{cases}x-3=0\\2x-1=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=3\\x=\frac{1}{2}\end{cases}}\)
b) x2(x + 1) - 9(x + 1) = 0
=> (x2 - 9)(x + 1) = 0
=> \(\orbr{\begin{cases}x^2-9=0\\x+1=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=\pm3\\x=-1\end{cases}}\)