(6+6i)+(4-5i)=

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

Simplifying
(6 + 6i) + (4 + -5i) = 0

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

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

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

Combine like terms: 6 + 4 = 10
10 + 6i + -5i = 0

Combine like terms: 6i + -5i = 1i
10 + 1i = 0

Solving
10 + 1i = 0

Solving for variable 'i'.

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

Add '-10' to each side of the equation.
10 + -10 + 1i = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 1i = 0 + -10
1i = 0 + -10

Combine like terms: 0 + -10 = -10
1i = -10

Divide each side by '1'.
i = -10

Simplifying
i = -10