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

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

Simplifying
(2 + i) + -1(-3 + 9i) = 0

Remove parenthesis around (2 + i)
2 + i + -1(-3 + 9i) = 0
2 + i + (-3 * -1 + 9i * -1) = 0
2 + i + (3 + -9i) = 0

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

Combine like terms: 2 + 3 = 5
5 + i + -9i = 0

Combine like terms: i + -9i = -8i
5 + -8i = 0

Solving
5 + -8i = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + -5 + -8i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8i = 0 + -5
-8i = 0 + -5

Combine like terms: 0 + -5 = -5
-8i = -5

Divide each side by '-8'.
i = 0.625

Simplifying
i = 0.625