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

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

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

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

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

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

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

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

Solving
5 + 2i = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + -5 + 2i = 0 + -5

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

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

Divide each side by '2'.
i = -2.5

Simplifying
i = -2.5