(-6+3i)+(5+4i)=

Solution for (-6+3i)+(5+4i)= equation:

Simplifying
(-6 + 3i) + (5 + 4i) = 0

Remove parenthesis around (-6 + 3i)
-6 + 3i + (5 + 4i) = 0

Remove parenthesis around (5 + 4i)
-6 + 3i + 5 + 4i = 0

Reorder the terms:
-6 + 5 + 3i + 4i = 0

Combine like terms: -6 + 5 = -1
-1 + 3i + 4i = 0

Combine like terms: 3i + 4i = 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