(6+2i)+(-11-9i)=0

Solution for (6+2i)+(-11-9i)=0 equation:

Simplifying
(6 + 2i) + (-11 + -9i) = 0

Remove parenthesis around (6 + 2i)
6 + 2i + (-11 + -9i) = 0

Remove parenthesis around (-11 + -9i)
6 + 2i + -11 + -9i = 0

Reorder the terms:
6 + -11 + 2i + -9i = 0

Combine like terms: 6 + -11 = -5
-5 + 2i + -9i = 0

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

Solving
-5 + -7i = 0

Solving for variable 'i'.

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

Add '5' to each side of the equation.
-5 + 5 + -7i = 0 + 5

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

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

Divide each side by '-7'.
i = -0.7142857143

Simplifying
i = -0.7142857143