(4-8i)-(3-6i)=0

Solution for (4-8i)-(3-6i)=0 equation:

Simplifying
(4 + -8i) + -1(3 + -6i) = 0

Remove parenthesis around (4 + -8i)
4 + -8i + -1(3 + -6i) = 0
4 + -8i + (3 * -1 + -6i * -1) = 0
4 + -8i + (-3 + 6i) = 0

Reorder the terms:
4 + -3 + -8i + 6i = 0

Combine like terms: 4 + -3 = 1
1 + -8i + 6i = 0

Combine like terms: -8i + 6i = -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