To solve the equation \( 2 \cdot (-3.783) \cdot (4x - 8) = 0 \), we need to determine when the product equals zero. A product is equal to zero if at least one of the factors is equal to zero.
- The first factor is \( 2 \), which is not zero.
- The second factor is \( -3.783 \), which is also not zero.
- The third factor is \( 4x - 8 \).
We set the third factor to zero:
\[ 4x - 8 = 0 \]
Now, we solve for \( x \):
- Add 8 to both sides:
\[ 4x = 8 \]
- Divide both sides by 4:
\[ x = 2 \]
Thus, the solution to the equation \( 2 \cdot (-3.783) \cdot (4x - 8) = 0 \) is:
\[ \boxed{2} \]