(2+11i)-(6-i)=

Solution for (2+11i)-(6-i)= equation:

Simplifying
(2 + 11i) + -1(6 + -1i) = 0

Remove parenthesis around (2 + 11i)
2 + 11i + -1(6 + -1i) = 0
2 + 11i + (6 * -1 + -1i * -1) = 0
2 + 11i + (-6 + 1i) = 0

Reorder the terms:
2 + -6 + 11i + 1i = 0

Combine like terms: 2 + -6 = -4
-4 + 11i + 1i = 0

Combine like terms: 11i + 1i = 12i
-4 + 12i = 0

Solving
-4 + 12i = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + 4 + 12i = 0 + 4

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

Combine like terms: 0 + 4 = 4
12i = 4

Divide each side by '12'.
i = 0.3333333333

Simplifying
i = 0.3333333333