(2+i)+(-3+9i)=

Solution for (2+i)+(-3+9i)= equation:

Simplifying
(2 + i) + (-3 + 9i) = 0

Remove parenthesis around (2 + i)
2 + i + (-3 + 9i) = 0

Remove parenthesis around (-3 + 9i)
2 + i + -3 + 9i = 0

Reorder the terms:
2 + -3 + i + 9i = 0

Combine like terms: 2 + -3 = -1
-1 + i + 9i = 0

Combine like terms: i + 9i = 10i
-1 + 10i = 0

Solving
-1 + 10i = 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 + 10i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10i = 0 + 1
10i = 0 + 1

Combine like terms: 0 + 1 = 1
10i = 1

Divide each side by '10'.
i = 0.1

Simplifying
i = 0.1