$x^{2}-16=0$
\(\boxed{x = 4, -4}\)
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 :\(\boxed{x = 4, -4}\)