(3+7i)+(6-5i)=

Solution for (3+7i)+(6-5i)= equation:

Simplifying
(3 + 7i) + (6 + -5i) = 0

Remove parenthesis around (3 + 7i)
3 + 7i + (6 + -5i) = 0

Remove parenthesis around (6 + -5i)
3 + 7i + 6 + -5i = 0

Reorder the terms:
3 + 6 + 7i + -5i = 0

Combine like terms: 3 + 6 = 9
9 + 7i + -5i = 0

Combine like terms: 7i + -5i = 2i
9 + 2i = 0

Solving
9 + 2i = 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 + 2i = 0 + -9

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

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

Divide each side by '2'.
i = -4.5

Simplifying
i = -4.5