venn_products.py

# See this diagram: https://i.redd.it/41iyyfdaliab1.png
from itertools import permutations
for i, perm in enumerate(permutations([1,2,3,4,6,8,9])):
    a, b, c, d, e, f, g = perm
    if (a + d + g + f) +1 == (b + d + e + g) -1 == (c * e * f * g +1)**0.5:
        print(f"\n{i}. Solution: a = {a}, b = {b}, c = {c}, d = {d}, e = {e}, f = {f}, g = {g}, x = {(a+d+g+f)+1}")
    elif i % 10 == 0:
        print(f".", end='')