(2+9i)(2-9i)=

Solution for (2+9i)(2-9i)= equation:

Simplifying
(2 + 9i)(2 + -9i) = 0

Multiply (2 + 9i) * (2 + -9i)
(2(2 + -9i) + 9i * (2 + -9i)) = 0
((2 * 2 + -9i * 2) + 9i * (2 + -9i)) = 0
((4 + -18i) + 9i * (2 + -9i)) = 0
(4 + -18i + (2 * 9i + -9i * 9i)) = 0
(4 + -18i + (18i + -81i2)) = 0

Combine like terms: -18i + 18i = 0
(4 + 0 + -81i2) = 0
(4 + -81i2) = 0

Solving
4 + -81i2 = 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 + -81i2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -81i2 = 0 + -4
-81i2 = 0 + -4

Combine like terms: 0 + -4 = -4
-81i2 = -4

Divide each side by '-81'.
i2 = 0.04938271605

Simplifying
i2 = 0.04938271605

Take the square root of each side:
i = {-0.222222222, 0.222222222}