(6+5i)+(2-7i)=

Solution for (6+5i)+(2-7i)= equation:

Simplifying
(6 + 5i) + (2 + -7i) = 0

Remove parenthesis around (6 + 5i)
6 + 5i + (2 + -7i) = 0

Remove parenthesis around (2 + -7i)
6 + 5i + 2 + -7i = 0

Reorder the terms:
6 + 2 + 5i + -7i = 0

Combine like terms: 6 + 2 = 8
8 + 5i + -7i = 0

Combine like terms: 5i + -7i = -2i
8 + -2i = 0

Solving
8 + -2i = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + -8 + -2i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -2i = 0 + -8
-2i = 0 + -8

Combine like terms: 0 + -8 = -8
-2i = -8

Divide each side by '-2'.
i = 4

Simplifying
i = 4