(3+2i)+(2+4i)=

Solution for (3+2i)+(2+4i)= equation:

Simplifying
(3 + 2i) + (2 + 4i) = 0

Remove parenthesis around (3 + 2i)
3 + 2i + (2 + 4i) = 0

Remove parenthesis around (2 + 4i)
3 + 2i + 2 + 4i = 0

Reorder the terms:
3 + 2 + 2i + 4i = 0

Combine like terms: 3 + 2 = 5
5 + 2i + 4i = 0

Combine like terms: 2i + 4i = 6i
5 + 6i = 0

Solving
5 + 6i = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + -5 + 6i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6i = 0 + -5
6i = 0 + -5

Combine like terms: 0 + -5 = -5
6i = -5

Divide each side by '6'.
i = -0.8333333333

Simplifying
i = -0.8333333333