$x^{2}-16=0$

Step 1 ：Solve the quadratic equation \(x^2 - 16 = 0\) by factoring.

Step 2 ：\(x^2 - 16 = (x - 4)(x + 4)\)

Step 3 ：Set each factor equal to zero: \((x - 4) = 0\) and \((x + 4) = 0\)

Step 4 ：Solve for x: \(x = 4\) and \(x = -4\)

Step 5 ：\(\boxed{x = 4, -4}\)