Question: how to solve this equation?

f1 := expand((a1*x^2+b1*x+c1)^n);
f2 := a1*x^2+b1*x+c1;

solve([coeff(f1, x, 4) = coeff(f2, x, 4),
coeff(f1, x, 3) = coeff(f2, x, 3),
coeff(f1, x, 2) = coeff(f2, x, 2),
coeff(f1, x, 1) = coeff(f2, x, 1),
coeff(f1, x, 0) = coeff(f2, x, 0)], [a1,b1,c1,d1]);

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