Question

(x-2)^2=(5-3x)^2

Answer 1

\(\Leftrightarrow\left(x-2-5+3x\right)\left(x-2+5-3x\right)=0\\ \Leftrightarrow\left(4x-7\right)\left(3-2x\right)=0\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{7}{4}\\x=\dfrac{3}{2}\end{matrix}\right.\)

Answer 2

\(\Leftrightarrow\left(4x-7\right)\left(2x-3\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{7}{4}\\x=\dfrac{3}{2}\end{matrix}\right.\)