=(6-2i)-(3-7i)

Solution for =(6-2i)-(3-7i) equation:

Simplifying
0 = (6 + -2i) + -1(3 + -7i)

Remove parenthesis around (6 + -2i)
0 = 6 + -2i + -1(3 + -7i)
0 = 6 + -2i + (3 * -1 + -7i * -1)
0 = 6 + -2i + (-3 + 7i)

Reorder the terms:
0 = 6 + -3 + -2i + 7i

Combine like terms: 6 + -3 = 3
0 = 3 + -2i + 7i

Combine like terms: -2i + 7i = 5i
0 = 3 + 5i

Solving
0 = 3 + 5i

Solving for variable 'i'.

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

Add '-5i' to each side of the equation.
0 + -5i = 3 + 5i + -5i
Remove the zero:
-5i = 3 + 5i + -5i

Combine like terms: 5i + -5i = 0
-5i = 3 + 0
-5i = 3

Divide each side by '-5'.
i = -0.6

Simplifying
i = -0.6