(6+9i)+(-3-2i)=

Solution for (6+9i)+(-3-2i)= equation:

Simplifying
(6 + 9i) + (-3 + -2i) = 0

Remove parenthesis around (6 + 9i)
6 + 9i + (-3 + -2i) = 0

Remove parenthesis around (-3 + -2i)
6 + 9i + -3 + -2i = 0

Reorder the terms:
6 + -3 + 9i + -2i = 0

Combine like terms: 6 + -3 = 3
3 + 9i + -2i = 0

Combine like terms: 9i + -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