Find all vertical asymptotes of the following function. \[ f(x)=\frac{2 x^{2}+24 x+64}{x^{2}-x-72} \]

Step 1 ：Set the denominator equal to zero: \(x^{2}-x-72=0\)

Step 2 ：Factor the quadratic equation: \((x-9)(x+8)=0\)

Step 3 ：Set each factor equal to zero and solve for x: \(x=9\) and \(x=-8\)

Step 4 ：\(\boxed{x=9, x=-8}\) are the vertical asymptotes of the function