(3+5i)+(-6-7i)=

Solution for (3+5i)+(-6-7i)= equation:

Simplifying
(3 + 5i) + (-6 + -7i) = 0

Remove parenthesis around (3 + 5i)
3 + 5i + (-6 + -7i) = 0

Remove parenthesis around (-6 + -7i)
3 + 5i + -6 + -7i = 0

Reorder the terms:
3 + -6 + 5i + -7i = 0

Combine like terms: 3 + -6 = -3
-3 + 5i + -7i = 0

Combine like terms: 5i + -7i = -2i
-3 + -2i = 0

Solving
-3 + -2i = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + 3 + -2i = 0 + 3

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

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

Divide each side by '-2'.
i = -1.5

Simplifying
i = -1.5