6-(3+2i)+(4-5i)=0

Solution for 6-(3+2i)+(4-5i)=0 equation:

Simplifying
6 + -1(3 + 2i) + (4 + -5i) = 0
6 + (3 * -1 + 2i * -1) + (4 + -5i) = 0
6 + (-3 + -2i) + (4 + -5i) = 0

Remove parenthesis around (4 + -5i)
6 + -3 + -2i + 4 + -5i = 0

Reorder the terms:
6 + -3 + 4 + -2i + -5i = 0

Combine like terms: 6 + -3 = 3
3 + 4 + -2i + -5i = 0

Combine like terms: 3 + 4 = 7
7 + -2i + -5i = 0

Combine like terms: -2i + -5i = -7i
7 + -7i = 0

Solving
7 + -7i = 0

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + -7 + -7i = 0 + -7

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

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

Divide each side by '-7'.
i = 1

Simplifying
i = 1