If f(x)=u(x-a)^m(x-b)^n(x-c)^p(x-d)^q, a multiplication of number of binomials of degree one, then zeros of polynomials are a, b, c and d, as any of them when put in place of x will make f(x)=0. Here u is just a constant.
Hence, zeros of f(x)=4(x+7)^2(x-7)^2 are -7 and 7.