Question

500/x - 500/(25+x) = 10. Find the value of x​

Answer 1

Answer:

$\frac{500 \times (25 + x)}{x(25 + x)} - \frac{500x}{(25 + x)(x)} = 10 \\ \\ \frac{12500 + 500x - 500x}{25x + {x}^{2} } = 10 \\ 12500 = 10 {x}^{2} + 250x \\ 1250 = {x}^{2} + 25x \\ {x}^{2} + 25x - 1250 \\ \\ {x}^{2} - 25x + 50x - 1250 = 0 \\ x(x - 25) + 50(x - 25) \\ (x - 50)(x - 25)$