(4-2i)-(5-8i)=

Solution for (4-2i)-(5-8i)= equation:

Simplifying
(4 + -2i) + -1(5 + -8i) = 0

Remove parenthesis around (4 + -2i)
4 + -2i + -1(5 + -8i) = 0
4 + -2i + (5 * -1 + -8i * -1) = 0
4 + -2i + (-5 + 8i) = 0

Reorder the terms:
4 + -5 + -2i + 8i = 0

Combine like terms: 4 + -5 = -1
-1 + -2i + 8i = 0

Combine like terms: -2i + 8i = 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