(3+6i)-(9-7i)=

Solution for (3+6i)-(9-7i)= equation:

Simplifying
(3 + 6i) + -1(9 + -7i) = 0

Remove parenthesis around (3 + 6i)
3 + 6i + -1(9 + -7i) = 0
3 + 6i + (9 * -1 + -7i * -1) = 0
3 + 6i + (-9 + 7i) = 0

Reorder the terms:
3 + -9 + 6i + 7i = 0

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

Combine like terms: 6i + 7i = 13i
-6 + 13i = 0

Solving
-6 + 13i = 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 + 13i = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 13i = 0 + 6
13i = 0 + 6

Combine like terms: 0 + 6 = 6
13i = 6

Divide each side by '13'.
i = 0.4615384615

Simplifying
i = 0.4615384615