(-6+11i)+(11-13i)=

Solution for (-6+11i)+(11-13i)= equation:

Simplifying
(-6 + 11i) + (11 + -13i) = 0

Remove parenthesis around (-6 + 11i)
-6 + 11i + (11 + -13i) = 0

Remove parenthesis around (11 + -13i)
-6 + 11i + 11 + -13i = 0

Reorder the terms:
-6 + 11 + 11i + -13i = 0

Combine like terms: -6 + 11 = 5
5 + 11i + -13i = 0

Combine like terms: 11i + -13i = -2i
5 + -2i = 0

Solving
5 + -2i = 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 + -2i = 0 + -5

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

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

Divide each side by '-2'.
i = 2.5

Simplifying
i = 2.5