(3-6i)+(6+10i)=

Solution for (3-6i)+(6+10i)= equation:

Simplifying
(3 + -6i) + (6 + 10i) = 0

Remove parenthesis around (3 + -6i)
3 + -6i + (6 + 10i) = 0

Remove parenthesis around (6 + 10i)
3 + -6i + 6 + 10i = 0

Reorder the terms:
3 + 6 + -6i + 10i = 0

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

Combine like terms: -6i + 10i = 4i
9 + 4i = 0

Solving
9 + 4i = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -9 + 4i = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4i = 0 + -9
4i = 0 + -9

Combine like terms: 0 + -9 = -9
4i = -9

Divide each side by '4'.
i = -2.25

Simplifying
i = -2.25