(0,2-0,3i)*(0,5+0,4i)

To multiply the complex numbers \( (0.2 - 0.3i) \) and \( (0.5 + 0.4i) \), you can use the distributive property (also known as the FOIL method for binomials).

1. Multiply the real parts: \[ 0.2 \cdot 0.5 = 0.1 \]

2. Multiply the outer parts: \[ 0.2 \cdot 0.4i = 0.08i \]

3. Multiply the inner parts: \[ -0.3i \cdot 0.5 = -0.15i \]

4. Multiply the imaginary parts: \[ -0.3i \cdot 0.4i = -0.12i^2 = 0.12 \quad (\text{since } i^2 = -1) \]

Now, combine all these results together: \[ 0.1 + 0.08i - 0.15i + 0.12 \] Combine the real parts and the imaginary parts: \[ (0.1 + 0.12) + (0.08i - 0.15i) = 0.22 - 0.07i \]

Thus, the product of \( (0.2 - 0.3i) \) and \( (0.5 + 0.4i) \) is: \[ \boxed{0.22 - 0.07i} \]