(-6+4i)+(7-2i)=

Solution for (-6+4i)+(7-2i)= equation:

Simplifying
(-6 + 4i) + (7 + -2i) = 0

Remove parenthesis around (-6 + 4i)
-6 + 4i + (7 + -2i) = 0

Remove parenthesis around (7 + -2i)
-6 + 4i + 7 + -2i = 0

Reorder the terms:
-6 + 7 + 4i + -2i = 0

Combine like terms: -6 + 7 = 1
1 + 4i + -2i = 0

Combine like terms: 4i + -2i = 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