\(\left(5-2x\right)\left(2x-7\right)=4x^2-25\)
\(-\left(2x-5\right)\left(2x-7\right)=\left(2x\right)^2-5^2\)
\(\left(2x-5\right)\left(7-2x\right)=\left(2x-5\right)\left(2x+5\right)\)
\(\left(2x-5\right)\left(7-2x\right)-\left(2x-5\right)\left(2x+5\right)=0\)
\(\left(2x-5\right)\left(7-2x-2x-5\right)=0\)
\(\left(2x-5\right)\left(2-4x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-5=0\\2-4x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{5}{2}\\x=\frac{1}{2}\end{cases}}\)
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