Решите уравнение! 9 класс!

[latex]\displaystyle \frac{x^2+2x+7}{x^2+2x+3}=4+2x+x^2 [/latex] [latex]\displaystyle \frac{x^2+2x+3+4}{x^2+2x+3}=4+2x+x^2 [/latex] [latex]\displaystyle 1+ \frac{4}{x^2+2x+3}=4+2x+x^2 [/latex] [latex]\displaystyle \frac{4}{x^2+2x+3}=x^2+2x+3 [/latex] [latex]x^2+2x+3=t[/latex] [latex]\displaystyle \frac{4}{t}=t 4=t^2 t=2; t=-2 [/latex] [latex]\displaystyle \left \{ {{x^2+2x+3=2} \atop {x^2+2x+3=-2}} \right. [/latex] [latex]\displaystyle \left \{ {{x^2+2x+1=0} \atop {x^2+2x+5=0}} \right. [/latex] [latex]\displaystyle \left \{ {{(x+1)^2=0} \atop {x^2+2x+5=0}} \right. [/latex] [latex]\displaystyle \left \{ {{x=-1} \atop {x^2+2x+5 \neq 0}} \right. [/latex] ответ : х=-1