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

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

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

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

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

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

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

Solving
-1 + -2i = 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 + -2i = 0 + 1

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

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

Divide each side by '-2'.
i = -0.5

Simplifying
i = -0.5