(3+5i)+(3+5i)=0

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

Simplifying
(3 + 5i) + (3 + 5i) = 0

Remove parenthesis around (3 + 5i)
3 + 5i + (3 + 5i) = 0

Remove parenthesis around (3 + 5i)
3 + 5i + 3 + 5i = 0

Reorder the terms:
3 + 3 + 5i + 5i = 0

Combine like terms: 3 + 3 = 6
6 + 5i + 5i = 0

Combine like terms: 5i + 5i = 10i
6 + 10i = 0

Solving
6 + 10i = 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 + 10i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 10i = 0 + -6
10i = 0 + -6

Combine like terms: 0 + -6 = -6
10i = -6

Divide each side by '10'.
i = -0.6

Simplifying
i = -0.6