(6+9i)+(-5+i)=

Solution for (6+9i)+(-5+i)= equation:

Simplifying
(6 + 9i) + (-5 + i) = 0

Remove parenthesis around (6 + 9i)
6 + 9i + (-5 + i) = 0

Remove parenthesis around (-5 + i)
6 + 9i + -5 + i = 0

Reorder the terms:
6 + -5 + 9i + i = 0

Combine like terms: 6 + -5 = 1
1 + 9i + i = 0

Combine like terms: 9i + i = 10i
1 + 10i = 0

Solving
1 + 10i = 0

Solving for variable 'i'.

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

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

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

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

Divide each side by '10'.
i = -0.1

Simplifying
i = -0.1