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

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

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

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

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

Combine like terms: 6 + -7 = -1
-1 + 6i + 9i = 0

Combine like terms: 6i + 9i = 15i
-1 + 15i = 0

Solving
-1 + 15i = 0

Solving for variable 'i'.

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

Add '1' to each side of the equation.
-1 + 1 + 15i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 15i = 0 + 1
15i = 0 + 1

Combine like terms: 0 + 1 = 1
15i = 1

Divide each side by '15'.
i = 0.06666666667

Simplifying
i = 0.06666666667