(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 = -1i
-1 + -1i = 0

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

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

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

Divide each side by '-1'.
i = -1

Simplifying
i = -1