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

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

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

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

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

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

Combine like terms: -2i + -3i = -5i
-1 + -5i = 0

Solving
-1 + -5i = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + -5i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5i = 0 + 1
-5i = 0 + 1

Combine like terms: 0 + 1 = 1
-5i = 1

Divide each side by '-5'.
i = -0.2

Simplifying
i = -0.2