Zw=(3+5i)(2+8i)

Solution for Zw=(3+5i)(2+8i) equation:

Simplifying
Zw = (3 + 5i)(2 + 8i)

Multiply (3 + 5i) * (2 + 8i)
wZ = (3(2 + 8i) + 5i * (2 + 8i))
wZ = ((2 * 3 + 8i * 3) + 5i * (2 + 8i))
wZ = ((6 + 24i) + 5i * (2 + 8i))
wZ = (6 + 24i + (2 * 5i + 8i * 5i))
wZ = (6 + 24i + (10i + 40i2))

Combine like terms: 24i + 10i = 34i
wZ = (6 + 34i + 40i2)

Solving
wZ = 6 + 34i + 40i2

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Divide each side by 'Z'.
w = 6Z-1 + 34iZ-1 + 40i2Z-1

Simplifying
w = 6Z-1 + 34iZ-1 + 40i2Z-1