Question

How would I solve this and what is the answer.

Answer 1

b is -6 or -10

Explanation:

`(1)/(b) = (1)/(b - 12) + \frac{ {b}^(2) + 16b + 48}{ {b}^(2) - 12b} \\ \\ (1)/(b) = \frac{b + ( {b}^(2) + 16b + 48)}{b(b - 12)} \\ \\ b - 12= b + ( {b}^(2) + 16b + 48) \\ {b}^(2) + 16b + 60= 0 \\ (b + 6)(b + 10) = 0 \\ b = - 6 \\ and \\ b = - 10`