\(\dfrac{\left(x+3\right)^5}{\left(x+3\right)^2}=\dfrac{64}{27}\)
\(=>\left(x+3\right)^3=\left(\dfrac{4}{3}\right)^3\)
\(=>x+3=\dfrac{4}{3}\)
\(=>x=\dfrac{4}{3}-\dfrac{9}{3}=-\dfrac{5}{3}\)
\(\left(\dfrac{4}{13}.\dfrac{6}{5}+\dfrac{4}{13}.\dfrac{2}{5}\right).\left(2x+1\right)^2=\dfrac{10}{13}\)
\(=>\left[\dfrac{4}{13}\left(\dfrac{6}{5}+\dfrac{2}{5}\right)\right]\left(2x+1\right)^2=\dfrac{10}{13}\)
\(=>\dfrac{4}{13}.\dfrac{8}{5}\left(2x+1\right)^2=\dfrac{10}{13}\)
\(=>\dfrac{32}{65}\left(2x+1\right)^2=\dfrac{10}{13}\)
\(=>\left(2x+1\right)^2=\dfrac{25}{16}\)
\(=>\left(2x+1\right)^2=\left(\dfrac{5}{4}\right)^2\)
\(=>2x+1=\dfrac{5}{4}\)
\(=>x=\dfrac{1}{8}\)
