\(a,\left(4x-3\right)\left(2x-1\right)=\left(x-3\right)\left(4x-3\right)\\ \Leftrightarrow\left(4x-3\right)\left(2x-1-x+3\right)=0\\ \Leftrightarrow\left(4x-3\right)\left(x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}4x-3=0\\x-2=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=2\end{matrix}\right.\\ vậy...\)
\(b,25x^2-9=\left(5x+3\right)\left(2x+1\right)\\ \Leftrightarrow\left(5x+3\right)\left(5x-3\right)-\left(5x+3\right)\left(2x+1\right)=0\\ \Leftrightarrow\left(5x+3\right)\left(5x-3-2x-1\right)=0\\ \Leftrightarrow\left(5x+3\right)\left(3x-4\right)=0\\ \Rightarrow\left[{}\begin{matrix}5x+3=0\\3x-4=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{3}{5}\\x=\dfrac{4}{3}\end{matrix}\right.\\ Vậy...\)
\(c,\left(3x-4\right)^2-4\left(x+1\right)^2=0\\ \Leftrightarrow\left(3x-4\right)^2-\left(2x+2\right)^2=0\\ \Leftrightarrow\left(3x-4-2x-2\right)\left(3x-4+2x+2\right)=0\\ \Leftrightarrow\left(x-6\right)\left(5x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x-6=0\\5x-2=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=5\\x=\dfrac{2}{5}\end{matrix}\right.\\ Vậy....\)