(3+11i)+(i)=

Solution for (3+11i)+(i)= equation:

Simplifying
(3 + 11i) + (i) = 0

Remove parenthesis around (3 + 11i)
3 + 11i + (i) = 0
3 + 11i + i = 0

Combine like terms: 11i + i = 12i
3 + 12i = 0

Solving
3 + 12i = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -3 + 12i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 12i = 0 + -3
12i = 0 + -3

Combine like terms: 0 + -3 = -3
12i = -3

Divide each side by '12'.
i = -0.25

Simplifying
i = -0.25