(4+8i)(4-8i)=

Solution for (4+8i)(4-8i)= equation:

Simplifying
(4 + 8i)(4 + -8i) = 0

Multiply (4 + 8i) * (4 + -8i)
(4(4 + -8i) + 8i * (4 + -8i)) = 0
((4 * 4 + -8i * 4) + 8i * (4 + -8i)) = 0
((16 + -32i) + 8i * (4 + -8i)) = 0
(16 + -32i + (4 * 8i + -8i * 8i)) = 0
(16 + -32i + (32i + -64i2)) = 0

Combine like terms: -32i + 32i = 0
(16 + 0 + -64i2) = 0
(16 + -64i2) = 0

Solving
16 + -64i2 = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -16 + -64i2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -64i2 = 0 + -16
-64i2 = 0 + -16

Combine like terms: 0 + -16 = -16
-64i2 = -16

Divide each side by '-64'.
i2 = 0.25

Simplifying
i2 = 0.25

Take the square root of each side:
i = {-0.5, 0.5}