(3+7i)-(5-2i)=

Solution for (3+7i)-(5-2i)= equation:

Simplifying
(3 + 7i) + -1(5 + -2i) = 0

Remove parenthesis around (3 + 7i)
3 + 7i + -1(5 + -2i) = 0
3 + 7i + (5 * -1 + -2i * -1) = 0
3 + 7i + (-5 + 2i) = 0

Reorder the terms:
3 + -5 + 7i + 2i = 0

Combine like terms: 3 + -5 = -2
-2 + 7i + 2i = 0

Combine like terms: 7i + 2i = 9i
-2 + 9i = 0

Solving
-2 + 9i = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 2 + 9i = 0 + 2

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

Combine like terms: 0 + 2 = 2
9i = 2

Divide each side by '9'.
i = 0.2222222222

Simplifying
i = 0.2222222222