(3+6i)(3-6i)=

Solution for (3+6i)(3-6i)= equation:

Simplifying
(3 + 6i)(3 + -6i) = 0

Multiply (3 + 6i) * (3 + -6i)
(3(3 + -6i) + 6i * (3 + -6i)) = 0
((3 * 3 + -6i * 3) + 6i * (3 + -6i)) = 0
((9 + -18i) + 6i * (3 + -6i)) = 0
(9 + -18i + (3 * 6i + -6i * 6i)) = 0
(9 + -18i + (18i + -36i2)) = 0

Combine like terms: -18i + 18i = 0
(9 + 0 + -36i2) = 0
(9 + -36i2) = 0

Solving
9 + -36i2 = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + -36i2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -36i2 = 0 + -9
-36i2 = 0 + -9

Combine like terms: 0 + -9 = -9
-36i2 = -9

Divide each side by '-36'.
i2 = 0.25

Simplifying
i2 = 0.25

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