(6+8i)+(-5-4i)=

Solution for (6+8i)+(-5-4i)= equation:

Simplifying
(6 + 8i) + (-5 + -4i) = 0

Remove parenthesis around (6 + 8i)
6 + 8i + (-5 + -4i) = 0

Remove parenthesis around (-5 + -4i)
6 + 8i + -5 + -4i = 0

Reorder the terms:
6 + -5 + 8i + -4i = 0

Combine like terms: 6 + -5 = 1
1 + 8i + -4i = 0

Combine like terms: 8i + -4i = 4i
1 + 4i = 0

Solving
1 + 4i = 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 + 4i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4i = 0 + -1
4i = 0 + -1

Combine like terms: 0 + -1 = -1
4i = -1

Divide each side by '4'.
i = -0.25

Simplifying
i = -0.25