(2+8i)(2-8i)=0

Solution for (2+8i)(2-8i)=0 equation:

Simplifying
(2 + 8i)(2 + -8i) = 0

Multiply (2 + 8i) * (2 + -8i)
(2(2 + -8i) + 8i * (2 + -8i)) = 0
((2 * 2 + -8i * 2) + 8i * (2 + -8i)) = 0
((4 + -16i) + 8i * (2 + -8i)) = 0
(4 + -16i + (2 * 8i + -8i * 8i)) = 0
(4 + -16i + (16i + -64i2)) = 0

Combine like terms: -16i + 16i = 0
(4 + 0 + -64i2) = 0
(4 + -64i2) = 0

Solving
4 + -64i2 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -4 + -64i2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -64i2 = 0 + -4
-64i2 = 0 + -4

Combine like terms: 0 + -4 = -4
-64i2 = -4

Divide each side by '-64'.
i2 = 0.0625

Simplifying
i2 = 0.0625

Take the square root of each side:
i = {-0.25, 0.25}