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

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

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

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

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

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

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

Combine like terms: i + -2i = -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