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

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

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

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

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

Combine like terms: 2 + -3 = -1
-1 + 5i + 5i = 0

Combine like terms: 5i + 5i = 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