(6+4i)-(-5+i)=0

Solution for (6+4i)-(-5+i)=0 equation:

Simplifying
(6 + 4i) + -1(-5 + i) = 0

Remove parenthesis around (6 + 4i)
6 + 4i + -1(-5 + i) = 0
6 + 4i + (-5 * -1 + i * -1) = 0
6 + 4i + (5 + -1i) = 0

Reorder the terms:
6 + 5 + 4i + -1i = 0

Combine like terms: 6 + 5 = 11
11 + 4i + -1i = 0

Combine like terms: 4i + -1i = 3i
11 + 3i = 0

Solving
11 + 3i = 0

Solving for variable 'i'.

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

Add '-11' to each side of the equation.
11 + -11 + 3i = 0 + -11

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

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

Divide each side by '3'.
i = -3.666666667

Simplifying
i = -3.666666667