Solve x^2-4x+4x=0 by using the quadratic formula:
(-b+/-sqrt(b^2-4ac))/(2a)
x=0. Why? -4x+4x cancel each other out leaving x
2 = 0. Now solve x
3+3x
2+3x-2=0.
My number: A(S(Σ(1221)),S(Σ(91))), where Σ(n) is the Busy Beaver function, S(x) is the maximum shifts function (S(n)≥Σ(n)) , and A(y,z) is the Ackermann function.
Why 1221 and 91? Their product's 111111, 11.11.11 is going to be awesome, 777 divides that product, 7.7.7 was a fun day, 7 divides 777, 777 repeats an integer in both decimal and hexamal, 7.6. in a day/month representation is another fun day and their product is 42.
Not to mention the unfathomable size of the number itself.