5i+(6-3i)=

Solution for 5i+(6-3i)= equation:

Simplifying
5i + (6 + -3i) = 0

Remove parenthesis around (6 + -3i)
5i + 6 + -3i = 0

Reorder the terms:
6 + 5i + -3i = 0

Combine like terms: 5i + -3i = 2i
6 + 2i = 0

Solving
6 + 2i = 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 + 2i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2i = 0 + -6
2i = 0 + -6

Combine like terms: 0 + -6 = -6
2i = -6

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

Simplifying
i = -3