(9+7i)-(6-2i)=0

Solution for (9+7i)-(6-2i)=0 equation:

Simplifying
(9 + 7i) + -1(6 + -2i) = 0

Remove parenthesis around (9 + 7i)
9 + 7i + -1(6 + -2i) = 0
9 + 7i + (6 * -1 + -2i * -1) = 0
9 + 7i + (-6 + 2i) = 0

Reorder the terms:
9 + -6 + 7i + 2i = 0

Combine like terms: 9 + -6 = 3
3 + 7i + 2i = 0

Combine like terms: 7i + 2i = 9i
3 + 9i = 0

Solving
3 + 9i = 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 + 9i = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 9i = 0 + -3
9i = 0 + -3

Combine like terms: 0 + -3 = -3
9i = -3

Divide each side by '9'.
i = -0.3333333333

Simplifying
i = -0.3333333333