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

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

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

Remove parenthesis around (6 + -5i)
6 + -5i + -1(3 + 2i) = 0
6 + -5i + (3 * -1 + 2i * -1) = 0
6 + -5i + (-3 + -2i) = 0

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

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

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

Solving
3 + -7i = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -3 + -7i = 0 + -3

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

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

Divide each side by '-7'.
i = 0.4285714286

Simplifying
i = 0.4285714286