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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
12 + -5i + 2i = 0

Combine like terms: -5i + 2i = -3i
12 + -3i = 0

Solving
12 + -3i = 0

Solving for variable 'i'.

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

Add '-12' to each side of the equation.
12 + -12 + -3i = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -3i = 0 + -12
-3i = 0 + -12

Combine like terms: 0 + -12 = -12
-3i = -12

Divide each side by '-3'.
i = 4

Simplifying
i = 4