(1-5i)+(2+4i)=

Solution for (1-5i)+(2+4i)= equation:

Simplifying
(1 + -5i) + (2 + 4i) = 0

Remove parenthesis around (1 + -5i)
1 + -5i + (2 + 4i) = 0

Remove parenthesis around (2 + 4i)
1 + -5i + 2 + 4i = 0

Reorder the terms:
1 + 2 + -5i + 4i = 0

Combine like terms: 1 + 2 = 3
3 + -5i + 4i = 0

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

Solving
3 + -1i = 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 + -1i = 0 + -3

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

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

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

Simplifying
i = 3