(12+4i)+(-6+11i)=

Solution for (12+4i)+(-6+11i)= equation:

Simplifying
(12 + 4i) + (-6 + 11i) = 0

Remove parenthesis around (12 + 4i)
12 + 4i + (-6 + 11i) = 0

Remove parenthesis around (-6 + 11i)
12 + 4i + -6 + 11i = 0

Reorder the terms:
12 + -6 + 4i + 11i = 0

Combine like terms: 12 + -6 = 6
6 + 4i + 11i = 0

Combine like terms: 4i + 11i = 15i
6 + 15i = 0

Solving
6 + 15i = 0

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -6 + 15i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 15i = 0 + -6
15i = 0 + -6

Combine like terms: 0 + -6 = -6
15i = -6

Divide each side by '15'.
i = -0.4

Simplifying
i = -0.4