ПОМОГИТЕ ПОЖАЛУЙСТА РЕШИТЬ УРАВНЕНИЕ! X^2+2x-9+9/(x+1)^2=0

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$t-10+\frac{9}{t}=0;\ t^2-10t+9=0;\ (t-1)(t-9)=0;\ \left [ {{t=1} \atop {t=9}} \right. ;\ \left [ {{(x+1)^2=1} \atop {(x+1)^2=9}} \right. ;$ $\left [ {{x+1=\pm 1} \atop {x+1=\pm 3}} \right. .$

Ответ: $\{-4;\ -2;\ 0;\ 2\}$