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

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

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

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

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

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

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

Solving
-3 + 2i = 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 + 2i = 0 + 3

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

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

Divide each side by '2'.
i = 1.5

Simplifying
i = 1.5