(6+4i)+(4+6i)=

Solution for (6+4i)+(4+6i)= equation:

Simplifying
(6 + 4i) + (4 + 6i) = 0

Remove parenthesis around (6 + 4i)
6 + 4i + (4 + 6i) = 0

Remove parenthesis around (4 + 6i)
6 + 4i + 4 + 6i = 0

Reorder the terms:
6 + 4 + 4i + 6i = 0

Combine like terms: 6 + 4 = 10
10 + 4i + 6i = 0

Combine like terms: 4i + 6i = 10i
10 + 10i = 0

Solving
10 + 10i = 0

Solving for variable 'i'.

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

Add '-10' to each side of the equation.
10 + -10 + 10i = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 10i = 0 + -10
10i = 0 + -10

Combine like terms: 0 + -10 = -10
10i = -10

Divide each side by '10'.
i = -1

Simplifying
i = -1