(4x-9)(7x+4)=0
TH1: 4x-9 = 0
4x = 9
x = 9/4
TH2: 7x+4 = 0
7x = -4
x = -4/7
\(\left(4x-9\right)\left(7x+4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}4x-9=0\\7x+4=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}4x=9\\7x=-4\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{9}{4}\\x=-\frac{4}{7}\end{cases}}\)
\(\left(4x-9\right)\left(7x+4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}4x-9=0\\7x+4=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{9}{4}\\x=\frac{-4}{7}\end{cases}}}\)