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

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

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

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

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

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

Combine like terms: 3i + 4i = 7i
4 + 7i = 0

Solving
4 + 7i = 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 + 7i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7i = 0 + -4
7i = 0 + -4

Combine like terms: 0 + -4 = -4
7i = -4

Divide each side by '7'.
i = -0.5714285714

Simplifying
i = -0.5714285714