Помогите решить уравнение. [latex] \frac{2 x^{2}+4x-6 }{ x^{2} -9} =1[/latex]

[latex] \frac{2 x^{2} +4x-6}{ x^{2} -9}-1=0 [/latex] [latex] \frac{2 x^{2} +4x-6- x^{2} +9}{ x^{2} -9}=0 [/latex] [latex] \frac{ x^{2} +4x+3}{ x^{2} -9}=0 [/latex] [latex] \left \{ {{x^{2} +4x+3=0} \atop { x^{2} -9 \neq 0}} \right. [/latex] [latex] \left \{ {{ x_{1}=-1; x_{2}=-3 } \atop {x \neq 3;x \neq -3}} \right. [/latex] x=-1