[tex]\text{Solve for x:}\\\\(x-3)^2=25\\\\\text{use FOIL:}\\\\x^2-6x+9=25\\\\\text{Subtract 25 from both sides}\\\\x^2-6x-16=0\\\\\text{Factor:}\\\\(x+2)(x-8)\\\\\text{Solve for the two x's:}\\\\x+2=0\\\\\text{Subtract 2 from both sides}\\\\\boxed{x=-2}\\\\x-8=0\\\\\text{Add 8 to both sides}\\\\}\boxed{x=8}[/tex]
