Verified Answer :

\(\frac{2}{(a - 7)(a + 2)} = \frac{4}{(a + 3)(a + 2)}\)

\(\frac{2}{(a^{2} + 2a - 7a - 14)} = \frac{4}{(a^{2} + 2a + 3a + 6)}\)

\(\frac{2}{a^{2} - 5a - 14} = \frac{4}{a^{2} + 5a + 6}\)

\(2(a^{2} + 5a + 6) = 4(a^{2} - 5a - 14)\)
\(2(a^{2}) + 2(5a) + 2(6) = 4(a^{2}) - 4(5a) - 4(14)\)
\(2a^{2} + 10a + 12 = 4a^{2} - 20a - 56\)
\(2a^{2} - 2a^{2} + 10a + 12 = 4a^{2} - 2a^{2} - 20a - 56\)
\(10a + 20a + 12 = 2a^{2} - 20a + 20a - 56\)
\(30a + 12 + 56= 2a^{2} - 56 + 56\)
\(\frac{30a + 68}{2} = \frac{2a^{2}}{2}\)
\(15a + 34 = a^{2}\)
\(\sqrt{15a + 34} = a\)