Question

solve the quadratic equation by factorization 16/x-1=15/x+1,xis not equal to 0,-1​

Answer 1

$\frac{16}{(x - 1)} = \frac{15}{(x + 1)} \\ \\ \frac{16}{(x - 1)} - \frac{15}{(x + 1)} = 0 \\ \\ \frac{16x + 16 - 15x + 15}{ {x}^{2} - 1} = 0 \\ \\ 16x + 16 - 15x + 15 = 0 \\ \\ x + 31 = 0 \\ \\ x = - 31$