(i+2)(-3+6)=

Solution for (i+2)(-3+6)= equation:

Simplifying
(i + 2)(-3 + 6) = 0

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

Combine like terms: -3 + 6 = 3
(2 + i)(3) = 0

Reorder the terms for easier multiplication:
3(2 + i) = 0
(2 * 3 + i * 3) = 0
(6 + 3i) = 0

Solving
6 + 3i = 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 + 3i = 0 + -6

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

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

Divide each side by '3'.
i = -2

Simplifying
i = -2