(6-8i)-(3-7i)=0

Solution for (6-8i)-(3-7i)=0 equation:

Simplifying
(6 + -8i) + -1(3 + -7i) = 0

Remove parenthesis around (6 + -8i)
6 + -8i + -1(3 + -7i) = 0
6 + -8i + (3 * -1 + -7i * -1) = 0
6 + -8i + (-3 + 7i) = 0

Reorder the terms:
6 + -3 + -8i + 7i = 0

Combine like terms: 6 + -3 = 3
3 + -8i + 7i = 0

Combine like terms: -8i + 7i = -1i
3 + -1i = 0

Solving
3 + -1i = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -3 + -1i = 0 + -3

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

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

Divide each side by '-1'.
i = 3

Simplifying
i = 3