(6+7i)-(4-9i)=

Solution for (6+7i)-(4-9i)= equation:

Simplifying
(6 + 7i) + -1(4 + -9i) = 0

Remove parenthesis around (6 + 7i)
6 + 7i + -1(4 + -9i) = 0
6 + 7i + (4 * -1 + -9i * -1) = 0
6 + 7i + (-4 + 9i) = 0

Reorder the terms:
6 + -4 + 7i + 9i = 0

Combine like terms: 6 + -4 = 2
2 + 7i + 9i = 0

Combine like terms: 7i + 9i = 16i
2 + 16i = 0

Solving
2 + 16i = 0

Solving for variable 'i'.

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

Add '-2' to each side of the equation.
2 + -2 + 16i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 16i = 0 + -2
16i = 0 + -2

Combine like terms: 0 + -2 = -2
16i = -2

Divide each side by '16'.
i = -0.125

Simplifying
i = -0.125