(3+7i)+(3+7i)=

Solution for (3+7i)+(3+7i)= equation:

Simplifying
(3 + 7i) + (3 + 7i) = 0

Remove parenthesis around (3 + 7i)
3 + 7i + (3 + 7i) = 0

Remove parenthesis around (3 + 7i)
3 + 7i + 3 + 7i = 0

Reorder the terms:
3 + 3 + 7i + 7i = 0

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

Combine like terms: 7i + 7i = 14i
6 + 14i = 0

Solving
6 + 14i = 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 + 14i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 14i = 0 + -6
14i = 0 + -6

Combine like terms: 0 + -6 = -6
14i = -6

Divide each side by '14'.
i = -0.4285714286

Simplifying
i = -0.4285714286