Question

2/(a-7)(a+2)=4/(a+3)(a+2)

Answer 1

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

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

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

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