\(4-x=2\left(x-4\right)^2\)
\(\Leftrightarrow2\left(x-4\right)^2+x-4=0\)
\(\Leftrightarrow\left(x-4\right)\left(2x-7\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=\dfrac{7}{2}\end{matrix}\right.\)
\(4-x=2\left(x-4\right)^2\)
\(\Leftrightarrow2\left(x-4\right)^2+x-4=0\)
\(\Leftrightarrow\left(x-4\right)\left(2x-7\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=\dfrac{7}{2}\end{matrix}\right.\)
4 - x = 2(x - 4)2
<=> -(4 - x) = \(-\left[2\left(x-4\right)^2\right]\)
<=> -1 = \(-\left[2\left(x-4\right)\right]\)
<=> -1 = -2x + 8
<=> 2x = 8 + 1
<=> x = \(\dfrac{9}{2}\)