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

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

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

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

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

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

Combine like terms: 4i + 4i = 8i
-1 + 8i = 0

Solving
-1 + 8i = 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 + 8i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8i = 0 + 1
8i = 0 + 1

Combine like terms: 0 + 1 = 1
8i = 1

Divide each side by '8'.
i = 0.125

Simplifying
i = 0.125