(3-5i)+(-4+7i)=

Solution for (3-5i)+(-4+7i)= equation:

Simplifying
(3 + -5i) + (-4 + 7i) = 0

Remove parenthesis around (3 + -5i)
3 + -5i + (-4 + 7i) = 0

Remove parenthesis around (-4 + 7i)
3 + -5i + -4 + 7i = 0

Reorder the terms:
3 + -4 + -5i + 7i = 0

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

Combine like terms: -5i + 7i = 2i
-1 + 2i = 0

Solving
-1 + 2i = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + 2i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2i = 0 + 1
2i = 0 + 1

Combine like terms: 0 + 1 = 1
2i = 1

Divide each side by '2'.
i = 0.5

Simplifying
i = 0.5