Answer:
[tex]a=6[/tex]Step-by-step explanation:
To solve the following equation:
[tex]\frac{3}{a}-\frac{4}{a+2}=0_{}[/tex]Multiply all terms by a(a+2) and cancel:
[tex]\begin{gathered} \frac{3(a(a+2))}{a}-\frac{4(a(a+2))}{a+2}_{}=0(a(a+2)) \\ 3(a+2)-4a=0 \end{gathered}[/tex]Apply distributive property of multiplication to expand:
[tex]3a+6-4a=0[/tex]Now, use inverse operations to solve equations and isolate a:
[tex]\begin{gathered} -a+6=0 \\ a=6 \end{gathered}[/tex]