To solve this expression, we first need to expand both sets of parentheses and then simplify the resulting expression.

Expanding the first set of parentheses:
7d - 20

Expanding the second set of parentheses:
2 - d + 4d^2

Now, multiply the two expressions together:

(7d - 20)(2 - d + 4d^2)
= 7d 2 + 7d (-d) + 7d 4d^2 - 20 2 - 20 (-d) - 20 4d^2
= 14d - 7d^2 + 28d^3 - 40 + 20d - 80d^2
= 28d^3 - 87d^2 + 34d - 40

So the solution to (7d - 20)(2 - d + 4d^2) is 28d^3 - 87d^2 + 34d - 40.