(6+2i)-(4-3i)=0

Solution for (6+2i)-(4-3i)=0 equation:

Simplifying
(6 + 2i) + -1(4 + -3i) = 0

Remove parenthesis around (6 + 2i)
6 + 2i + -1(4 + -3i) = 0
6 + 2i + (4 * -1 + -3i * -1) = 0
6 + 2i + (-4 + 3i) = 0

Reorder the terms:
6 + -4 + 2i + 3i = 0

Combine like terms: 6 + -4 = 2
2 + 2i + 3i = 0

Combine like terms: 2i + 3i = 5i
2 + 5i = 0

Solving
2 + 5i = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + 5i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5i = 0 + -2
5i = 0 + -2

Combine like terms: 0 + -2 = -2
5i = -2

Divide each side by '5'.
i = -0.4

Simplifying
i = -0.4