(6-7i)-(12-4i)=0

Solution for (6-7i)-(12-4i)=0 equation:

Simplifying
(6 + -7i) + -1(12 + -4i) = 0

Remove parenthesis around (6 + -7i)
6 + -7i + -1(12 + -4i) = 0
6 + -7i + (12 * -1 + -4i * -1) = 0
6 + -7i + (-12 + 4i) = 0

Reorder the terms:
6 + -12 + -7i + 4i = 0

Combine like terms: 6 + -12 = -6
-6 + -7i + 4i = 0

Combine like terms: -7i + 4i = -3i
-6 + -3i = 0

Solving
-6 + -3i = 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 + -3i = 0 + 6

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

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

Divide each side by '-3'.
i = -2

Simplifying
i = -2