Given the equation:
[tex]x^2\text{ - 6x + 9 = 25}[/tex]First, let the equation equals zero by moving 25 to the left hand side:
[tex]\begin{gathered} x^2\text{ - 6x + 9 -25 = 0} \\ x^2\text{ - 6x -16}=\text{ 0} \end{gathered}[/tex]now factorize the equation:
[tex]\times^2\text{ - 6x - 16}=\text{ 0}[/tex][tex]\times^2\text{ - 8x + 2x - 16 = 0}[/tex][tex]\times(x\text{ -8) + 2(x - 8) = 0}[/tex][tex](x\text{ + 2)(x - 8) = 0}[/tex]Therefore
x + 2 = 0;
