(3-5i)+(6+8i)=

Solution for (3-5i)+(6+8i)= equation:

Simplifying
(3 + -5i) + (6 + 8i) = 0

Remove parenthesis around (3 + -5i)
3 + -5i + (6 + 8i) = 0

Remove parenthesis around (6 + 8i)
3 + -5i + 6 + 8i = 0

Reorder the terms:
3 + 6 + -5i + 8i = 0

Combine like terms: 3 + 6 = 9
9 + -5i + 8i = 0

Combine like terms: -5i + 8i = 3i
9 + 3i = 0

Solving
9 + 3i = 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 + 3i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3i = 0 + -9
3i = 0 + -9

Combine like terms: 0 + -9 = -9
3i = -9

Divide each side by '3'.
i = -3

Simplifying
i = -3