x*(x+m)-2m*(x-m)=8m^2
(x^2+mx-2mx+2m^2-8m^2)/(x^2-m^2)=0
(x-3m)(x+2m)/(x+m)(x-m)=0
x - 3m = 0 или x + 2m = 0 ОДЗ: x - m ≠ 0 x + m ≠ 0
x = 3m x = - 2m x ≠ m x ≠ - m
Ответ: - 2m; 3m
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x*(x+m)-2m*(x-m)=8m^2
(x^2+mx-2mx+2m^2-8m^2)/(x^2-m^2)=0
(x-3m)(x+2m)/(x+m)(x-m)=0
x - 3m = 0 или x + 2m = 0 ОДЗ: x - m ≠ 0 x + m ≠ 0
x = 3m x = - 2m x ≠ m x ≠ - m
Ответ: - 2m; 3m