Answer: [tex]x=-4[/tex] [tex]or[/tex] [tex]x=-6[/tex]
Subtract 8x+3 from both sides
[tex]x^2+18x+27-(8x+3)=8x+3-(8x+3)[/tex]
[tex]x2+10x+24=0[/tex]
Factor left side of equation
[tex](x+4)(x+6)=0[/tex]
Set factors equal to 0
[tex]x+4=0[/tex] [tex]or[/tex] [tex]x+6=0[/tex]
Final Answer: [tex]x=-4[/tex] [tex]or[/tex] [tex]x=-6[/tex]