Answer:
[tex]-3[/tex]
Step-by-step explanation:
[tex]x^2+6x+9=0[/tex]
[tex]x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \:9}}{2\cdot \:1}[/tex]
[tex]6^2-4\cdot \:1\cdot \:9[/tex]
[tex]4*1=4\\4*9=36[/tex]
[tex]6^2=36[/tex]
[tex]36-36=0[/tex]
[tex]x_{1,\:2}=\frac{-6\pm \sqrt{0}}{2\cdot \:1}[/tex]
[tex]x=\frac{-6}{2\cdot \:1}[/tex]
[tex]\frac{-6}{2\cdot \:1}[/tex]
[tex]2*1=2[/tex]
[tex]\frac{-6}{2}[/tex]
[tex]x=-3[/tex]
[tex]\mathrm\:{The\:solution\:to\:this\:equation\:is\:-3}[/tex]
