\(\Leftrightarrow\left(7x-4\right)^2-4\left(2x+1\right)^2=0\\ \Leftrightarrow\left(7x-4-4x-2\right)\left(7x-4+4x+2\right)=0\\ \Leftrightarrow\left(3x-6\right)\left(11x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{2}{11}\end{matrix}\right.\)
\(\left(7x-4\right)^2=4\left(2x+1\right)^2\)
\(\Leftrightarrow\left(7x-4\right)^2-\left(4x+2\right)^2=0\)
\(\Leftrightarrow\left(7x-4-4x-2\right)\left(7x-4+4x+2\right)=0\)
\(\Leftrightarrow\left(3x-6\right)\left(11x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{2}{11}\end{matrix}\right.\)
\(\Leftrightarrow\left(7x-4\right)^2-\left(4x+2\right)^2=0\)
\(\Leftrightarrow\left(7x-4-4x-2\right)\left(7x-4+4x+2\right)=0\)
\(\Leftrightarrow\left(3x-6\right)\left(11x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-6=0\\11x-2=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{2}{11}\end{matrix}\right.\)
(7x - 4)2 = 4(2x + 1)2
<=> 49x2 - 56x + 16 = 4(4x2 + 4x + 1)
<=> 49x2 - 56x + 16 = 16x2 + 16x + 4
<=> 49x2 - 56x + 16 - 16x2 - 16x - 4 = 0
<=> 49x2 - 16x2 - 56x - 16x + 16 - 4 = 0
<=> 33x2 - 72x + 12 = 0
<=> 33x2 - 66x - 6x + 12 = 0
<=> 33x(x - 2) - 6(x - 2) = 0
<=> (33x - 6)(x - 2) = 0
<=> \(\left[{}\begin{matrix}33x-6=0\\x-2=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{11}\\x=2\end{matrix}\right.\)
