6-(-5+4i)-(5-7i)=0

Solution for 6-(-5+4i)-(5-7i)=0 equation:

Simplifying
6 + -1(-5 + 4i) + -1(5 + -7i) = 0
6 + (-5 * -1 + 4i * -1) + -1(5 + -7i) = 0
6 + (5 + -4i) + -1(5 + -7i) = 0
6 + 5 + -4i + (5 * -1 + -7i * -1) = 0
6 + 5 + -4i + (-5 + 7i) = 0

Reorder the terms:
6 + 5 + -5 + -4i + 7i = 0

Combine like terms: 6 + 5 = 11
11 + -5 + -4i + 7i = 0

Combine like terms: 11 + -5 = 6
6 + -4i + 7i = 0

Combine like terms: -4i + 7i = 3i
6 + 3i = 0

Solving
6 + 3i = 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 + 3i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3i = 0 + -6
3i = 0 + -6

Combine like terms: 0 + -6 = -6
3i = -6

Divide each side by '3'.
i = -2

Simplifying
i = -2