(-3-5i)+(4-2i)=0

Solution for (-3-5i)+(4-2i)=0 equation:

Simplifying
(-3 + -5i) + (4 + -2i) = 0

Remove parenthesis around (-3 + -5i)
-3 + -5i + (4 + -2i) = 0

Remove parenthesis around (4 + -2i)
-3 + -5i + 4 + -2i = 0

Reorder the terms:
-3 + 4 + -5i + -2i = 0

Combine like terms: -3 + 4 = 1
1 + -5i + -2i = 0

Combine like terms: -5i + -2i = -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