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

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

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

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

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

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

Combine like terms: 6 + 3 = 9
9 + 6i + -5i = 0

Combine like terms: 6i + -5i = 1i
9 + 1i = 0

Solving
9 + 1i = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + 1i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 1i = 0 + -9
1i = 0 + -9

Combine like terms: 0 + -9 = -9
1i = -9

Divide each side by '1'.
i = -9

Simplifying
i = -9