Question

$frac{x}{x-5} +frac{3x+15}{x^{2} -25} =0$

Answer 1

x≠-5, x≠5

$frac{x}{x-5} +frac{3x+15}{x^{2} -25} =0\\frac{x(x+5)}{(x-5)(x+5)} +frac{3x+15}{x^{2} -25} =0\\frac{x(x+5) +3x+15}{x^{2} -25} =0\\x(x+5) +3x+15 =0\\x(x+5) +3(x+5) =0\\(x+5)(x+3)=0\\x+5=0 x+3=0\\x=-5 x=-3$

Ответ: -3