Решите уравнение 1/x^2-10x+25+10/25-x^2=1/x+5

1 / (x ^ 2 - 10 * x + 25) + 10 / (25 - x ^ 2) = 1 / (x + 5); 1 / (x - 5) ^ 2 + 10 / (25 - x ^ 2) = 1 / (x + 5); 1 / (x - 5) ^ 2 - 10 / (x ^ 2 - 25) = 1 / (x + 5); 1 / (x - 5) ^ 2 - 10 / ((x - 5) * (x + 5)) = 1 / (x + 5); 1 / (x - 5) ^ 2 * (x - 5) ^ 2 * (x + 5) - 10 / ((x - 5) * (x + 5)) * (x - 5) ^ 2 * (x + 5) = 1 / (x + 5) * (x - 5) ^ 2 * (x + 5); (x + 5) - 10 * (x - 5) = (x - 5) ^ 2; x + 5 - 10 * x + 10 * 5 = x ^ 2 - 10 * x + 25;x + 5 - 10 * x + 50 = x ^ 2 - 10 * x + 25; - 9 * x + 55 = x ^ 2 - 10 * x + 25;x ^ 2 - 10 * x + 25 + 9 * x - 55 = 0;x ^ 2 - x - 30 = 0;х = - 5 и х = 6.