Question

please solve this problem by factorisation method ​

Answer 1

$\frac{480}{x - 8} - \frac{480}{x} = 3 \\ \\ \frac{160}{x - 8} - \frac{160}{x} = 1 \\ \\ 160 \times ( \frac{x - (x - 8)}{x(x - 8)} = 1 \\ \\ x(x - 8) = 8 \times 160 \\ \\ {x}^{2} - 8x - 1280 = 0 \\ \\ {x}^{2} + 40x - 32x - 1280 = 0 \\ \\ x(x + 40) - 32(x + 40) = 0 \\ \\ (x - 32)(x + 40) = 0 \\ \\ x = 32 \\ \\ x = - 40$

hope it helps.