(4+6i)+(2+6i)=

Solution for (4+6i)+(2+6i)= equation:

Simplifying
(4 + 6i) + (2 + 6i) = 0

Remove parenthesis around (4 + 6i)
4 + 6i + (2 + 6i) = 0

Remove parenthesis around (2 + 6i)
4 + 6i + 2 + 6i = 0

Reorder the terms:
4 + 2 + 6i + 6i = 0

Combine like terms: 4 + 2 = 6
6 + 6i + 6i = 0

Combine like terms: 6i + 6i = 12i
6 + 12i = 0

Solving
6 + 12i = 0

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -6 + 12i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 12i = 0 + -6
12i = 0 + -6

Combine like terms: 0 + -6 = -6
12i = -6

Divide each side by '12'.
i = -0.5

Simplifying
i = -0.5