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

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

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

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

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

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

Combine like terms: -3i + 4i = 1i
-2 + 1i = 0

Solving
-2 + 1i = 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 + 1i = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1i = 0 + 2
1i = 0 + 2

Combine like terms: 0 + 2 = 2
1i = 2

Divide each side by '1'.
i = 2

Simplifying
i = 2