(6-2i)+(-7-5i)=0

Solution for (6-2i)+(-7-5i)=0 equation:

Simplifying
(6 + -2i) + (-7 + -5i) = 0

Remove parenthesis around (6 + -2i)
6 + -2i + (-7 + -5i) = 0

Remove parenthesis around (-7 + -5i)
6 + -2i + -7 + -5i = 0

Reorder the terms:
6 + -7 + -2i + -5i = 0

Combine like terms: 6 + -7 = -1
-1 + -2i + -5i = 0

Combine like terms: -2i + -5i = -7i
-1 + -7i = 0

Solving
-1 + -7i = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + -7i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -7i = 0 + 1
-7i = 0 + 1

Combine like terms: 0 + 1 = 1
-7i = 1

Divide each side by '-7'.
i = -0.1428571429

Simplifying
i = -0.1428571429