Completing the square and solving a quadratic equation.

Part A: To complete the square for $x^2 + 16x + c$, we take half of the coefficient of $x$ and square it: $(\frac{16}{2})^2 = 8^2 = 64$. Part B: Rewrite the equation as $x^2 + 16x - 17 = 0$. Factoring gives $(x+17)(x-1) = 0$, so the solutions are $x = 1$ and $x = -17$. Ordered from least to greatest, the solutions are $-17$ and $1$.