(10i-7i)+(6+9i)=

Solution for (10i-7i)+(6+9i)= equation:

Simplifying
(10i + -7i) + (6 + 9i) = 0

Combine like terms: 10i + -7i = 3i
(3i) + (6 + 9i) = 0
(3i) + (6 + 9i) = 0

Remove parenthesis around (6 + 9i)
(3i) + 6 + 9i = 0

Reorder the terms:
6 + (3i) + 9i = 0

Combine like terms: (3i) + 9i = 12i
6 + 12i = 0

Solving
6 + 12i = 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 + 12i = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 12i = 0 + -6
12i = 0 + -6

Combine like terms: 0 + -6 = -6
12i = -6

Divide each side by '12'.
i = -0.5

Simplifying
i = -0.5