(-5+i)-(-11-6i)=0

Solution for (-5+i)-(-11-6i)=0 equation:

Simplifying
(-5 + i) + -1(-11 + -6i) = 0

Remove parenthesis around (-5 + i)
-5 + i + -1(-11 + -6i) = 0
-5 + i + (-11 * -1 + -6i * -1) = 0
-5 + i + (11 + 6i) = 0

Reorder the terms:
-5 + 11 + i + 6i = 0

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

Combine like terms: i + 6i = 7i
6 + 7i = 0

Solving
6 + 7i = 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 + 7i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7i = 0 + -6
7i = 0 + -6

Combine like terms: 0 + -6 = -6
7i = -6

Divide each side by '7'.
i = -0.8571428571

Simplifying
i = -0.8571428571