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

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

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

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

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

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

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

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

Divide each side by '3'.
i = 0.3333333333

Simplifying
i = 0.3333333333