(3-7i)+(1+5i)=

Solution for (3-7i)+(1+5i)= equation:

Simplifying
(3 + -7i) + (1 + 5i) = 0

Remove parenthesis around (3 + -7i)
3 + -7i + (1 + 5i) = 0

Remove parenthesis around (1 + 5i)
3 + -7i + 1 + 5i = 0

Reorder the terms:
3 + 1 + -7i + 5i = 0

Combine like terms: 3 + 1 = 4
4 + -7i + 5i = 0

Combine like terms: -7i + 5i = -2i
4 + -2i = 0

Solving
4 + -2i = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -4 + -2i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2i = 0 + -4
-2i = 0 + -4

Combine like terms: 0 + -4 = -4
-2i = -4

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

Simplifying
i = 2