| ( | 4 | + | 6 | i | ) | − | ( | 2 | + | 2 | i | ) | = | 0 |
| Left side of the equation = | 4 | + | 6 | i | − | ( | 2 | + | 2 | i | ) |
| = | 4 | + | 6 | i | − | 2 | − | 2 | i |
| = | 2 | + | 4 | i |
| 2 | + | 4 | i | = | 0 |
| 4 | i | = | 0 | − | 2 |
| 4 | i | = | - | 2 |
| i | = | - | 2 | ÷ | 4 |
| = | - | 2 | × | 1 4 |
| = | - | 1 | × | 1 2 |
| i | = | - | 1 2 |
| i | = | - 0.5 |
| ( | - | 6 | + | 3 | i | ) | + | ( | 3 | − | 2 | i | ) | = | 0 |
| Left side of the equation = | - | 6 | + | 3 | i | + | ( | 3 | − | 2 | i | ) |
| = | - | 6 | + | 3 | i | + | 3 | − | 2 | i |
| = | - | 3 | + | 1 | i |
| - | 3 | + | 1 | i | = | 0 |
| 1 | i | = | 0 | + | 3 |
| i | = | 0 | + | 3 |
| i | = | 3 |