2•(-3,783)•(4x-8)=0

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. 1. The first factor is \( 2 \), which is not zero. 2. The second factor is \( -3.783 \), which is also not zero. 3. The third factor is \( 4x - 8 \). We set the third factor to zero: \[ 4x - 8 = 0 \] Now, we solve for \( x \): 1. Add 8 to both sides: \[ 4x = 8 \] 2. Divide both sides by 4: \[ x = 2 \] Thus, the solution to the equation \( 2 \cdot (-3.783) \cdot (4x - 8) = 0 \) is: \[ \boxed{2} \]