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

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

Simplifying
(3 + 2i) + -1(2 + -4i) = 0

Remove parenthesis around (3 + 2i)
3 + 2i + -1(2 + -4i) = 0
3 + 2i + (2 * -1 + -4i * -1) = 0
3 + 2i + (-2 + 4i) = 0

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

Combine like terms: 3 + -2 = 1
1 + 2i + 4i = 0

Combine like terms: 2i + 4i = 6i
1 + 6i = 0

Solving
1 + 6i = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1 + 6i = 0 + -1

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

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

Divide each side by '6'.
i = -0.1666666667

Simplifying
i = -0.1666666667