(6-20i)-(23-10i)=0

Solution for (6-20i)-(23-10i)=0 equation:

Simplifying
(6 + -20i) + -1(23 + -10i) = 0

Remove parenthesis around (6 + -20i)
6 + -20i + -1(23 + -10i) = 0
6 + -20i + (23 * -1 + -10i * -1) = 0
6 + -20i + (-23 + 10i) = 0

Reorder the terms:
6 + -23 + -20i + 10i = 0

Combine like terms: 6 + -23 = -17
-17 + -20i + 10i = 0

Combine like terms: -20i + 10i = -10i
-17 + -10i = 0

Solving
-17 + -10i = 0

Solving for variable 'i'.

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

Add '17' to each side of the equation.
-17 + 17 + -10i = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -10i = 0 + 17
-10i = 0 + 17

Combine like terms: 0 + 17 = 17
-10i = 17

Divide each side by '-10'.
i = -1.7

Simplifying
i = -1.7