(2-5i)-(3+4i)=0

Solution for (2-5i)-(3+4i)=0 equation:

Simplifying
(2 + -5i) + -1(3 + 4i) = 0

Remove parenthesis around (2 + -5i)
2 + -5i + -1(3 + 4i) = 0
2 + -5i + (3 * -1 + 4i * -1) = 0
2 + -5i + (-3 + -4i) = 0

Reorder the terms:
2 + -3 + -5i + -4i = 0

Combine like terms: 2 + -3 = -1
-1 + -5i + -4i = 0

Combine like terms: -5i + -4i = -9i
-1 + -9i = 0

Solving
-1 + -9i = 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 + -9i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9i = 0 + 1
-9i = 0 + 1

Combine like terms: 0 + 1 = 1
-9i = 1

Divide each side by '-9'.
i = -0.1111111111

Simplifying
i = -0.1111111111