To solve the equation \(2 \cdot (-3.783) \cdot (4x - 8) = 0\), we can first simplify it. Notice that any expression multiplied by zero equals zero.
Since \(2 \cdot (-3.783)\) is not zero, the only way for the entire expression to equal zero is if the term \((4x - 8)\) equals zero.
So, we set up the equation:
\[ 4x - 8 = 0 \]
Now, solve for \(x\):
Add 8 to both sides: \[ 4x = 8 \]
Divide both sides by 4: \[ x = 2 \]
Thus, the solution to the equation is:
\[ x = 2 \]