(6+8i)-(2-2i)=0

Solution for (6+8i)-(2-2i)=0 equation:

Simplifying
(6 + 8i) + -1(2 + -2i) = 0

Remove parenthesis around (6 + 8i)
6 + 8i + -1(2 + -2i) = 0
6 + 8i + (2 * -1 + -2i * -1) = 0
6 + 8i + (-2 + 2i) = 0

Reorder the terms:
6 + -2 + 8i + 2i = 0

Combine like terms: 6 + -2 = 4
4 + 8i + 2i = 0

Combine like terms: 8i + 2i = 10i
4 + 10i = 0

Solving
4 + 10i = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -4 + 10i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 10i = 0 + -4
10i = 0 + -4

Combine like terms: 0 + -4 = -4
10i = -4

Divide each side by '10'.
i = -0.4

Simplifying
i = -0.4