\(\frac{\left(x+1\right)}{1,5}=\frac{3}{2\left(x+1\right)}\)
\(\Leftrightarrow\left(x+1\right).2\left(x+1\right)=1,5.3\)
\(\Leftrightarrow\left(x+1\right).2x+2=\frac{9}{2}\)
\(\Leftrightarrow\orbr{\begin{cases}x+1=\frac{9}{2}\\2x+2=\frac{9}{2}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{7}{2}\\2x=\frac{5}{2}\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{7}{2}\\x=\frac{5}{4}\end{cases}}}\)
\(\frac{x+1}{1,5}=\frac{3}{2\left(x+1\right)}\)
\(\Rightarrow2\left(x+1\right)^2=4,5\)
\(\Rightarrow\left(x+1\right)^2=\frac{9}{4}\)
\(\Rightarrow\orbr{\begin{cases}x+1=\sqrt{\frac{9}{4}}\\x+1=-\sqrt{\frac{9}{4}}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=-\frac{5}{2}\end{cases}}\)
