(3+4i)-(2-i)=

Solution for (3+4i)-(2-i)= equation:

Simplifying
(3 + 4i) + -1(2 + -1i) = 0

Remove parenthesis around (3 + 4i)
3 + 4i + -1(2 + -1i) = 0
3 + 4i + (2 * -1 + -1i * -1) = 0
3 + 4i + (-2 + 1i) = 0

Reorder the terms:
3 + -2 + 4i + 1i = 0

Combine like terms: 3 + -2 = 1
1 + 4i + 1i = 0

Combine like terms: 4i + 1i = 5i
1 + 5i = 0

Solving
1 + 5i = 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 + 5i = 0 + -1

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

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

Divide each side by '5'.
i = -0.2

Simplifying
i = -0.2