(5x-3)² - (4x - 7)² = 0
<=>(5x-3)² = (4x - 7)²
<=> \(\left[ \begin{array}{l}5x-3=4x-7\\5x-3=7-4x\end{array} \right.\)
<=> \(\left[ \begin{array}{l}x=-4\\9x=10\end{array} \right.\)
<=> \(\left[ \begin{array}{l}x=-4\\x=\frac{10}{9}\end{array} \right.\)