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

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

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

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

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

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

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

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

Solving
-3 + -1j = 0

Solving for variable 'j'.

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

Add '3' to each side of the equation.
-3 + 3 + -1j = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1j = 0 + 3
-1j = 0 + 3

Combine like terms: 0 + 3 = 3
-1j = 3

Divide each side by '-1'.
j = -3

Simplifying
j = -3