(4-5i)-(-2+7i)=

Solution for (4-5i)-(-2+7i)= equation:

Simplifying
(4 + -5i) + -1(-2 + 7i) = 0

Remove parenthesis around (4 + -5i)
4 + -5i + -1(-2 + 7i) = 0
4 + -5i + (-2 * -1 + 7i * -1) = 0
4 + -5i + (2 + -7i) = 0

Reorder the terms:
4 + 2 + -5i + -7i = 0

Combine like terms: 4 + 2 = 6
6 + -5i + -7i = 0

Combine like terms: -5i + -7i = -12i
6 + -12i = 0

Solving
6 + -12i = 0

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -6 + -12i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -12i = 0 + -6
-12i = 0 + -6

Combine like terms: 0 + -6 = -6
-12i = -6

Divide each side by '-12'.
i = 0.5

Simplifying
i = 0.5