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

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

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

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

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

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

Combine like terms: 2 + 4 = 6
6 + 3i + -2i = 0

Combine like terms: 3i + -2i = 1i
6 + 1i = 0

Solving
6 + 1i = 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 + 1i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 1i = 0 + -6
1i = 0 + -6

Combine like terms: 0 + -6 = -6
1i = -6

Divide each side by '1'.
i = -6

Simplifying
i = -6