(x+3)(x-3i-2)=0

Solution for (x+3)(x-3i-2)=0 equation:

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

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

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

Multiply (3 + x) * (-2 + -3i + x)
(3(-2 + -3i + x) + x(-2 + -3i + x)) = 0
((-2 * 3 + -3i * 3 + x * 3) + x(-2 + -3i + x)) = 0
((-6 + -9i + 3x) + x(-2 + -3i + x)) = 0
(-6 + -9i + 3x + (-2 * x + -3i * x + x * x)) = 0

Reorder the terms:
(-6 + -9i + 3x + (-3ix + -2x + x2)) = 0
(-6 + -9i + 3x + (-3ix + -2x + x2)) = 0

Reorder the terms:
(-6 + -9i + -3ix + 3x + -2x + x2) = 0

Combine like terms: 3x + -2x = 1x
(-6 + -9i + -3ix + 1x + x2) = 0

Solving
-6 + -9i + -3ix + 1x + x2 = 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 + -9i + -3ix + 1x + 6 + x2 = 0 + 6

Reorder the terms:
-6 + 6 + -9i + -3ix + 1x + x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -9i + -3ix + 1x + x2 = 0 + 6
-9i + -3ix + 1x + x2 = 0 + 6

Combine like terms: 0 + 6 = 6
-9i + -3ix + 1x + x2 = 6

Add '-1x' to each side of the equation.
-9i + -3ix + 1x + -1x + x2 = 6 + -1x

Combine like terms: 1x + -1x = 0
-9i + -3ix + 0 + x2 = 6 + -1x
-9i + -3ix + x2 = 6 + -1x

Add '-1x2' to each side of the equation.
-9i + -3ix + x2 + -1x2 = 6 + -1x + -1x2

Combine like terms: x2 + -1x2 = 0
-9i + -3ix + 0 = 6 + -1x + -1x2
-9i + -3ix = 6 + -1x + -1x2

Reorder the terms:
-6 + -9i + -3ix + x + x2 = 6 + -1x + -1x2 + -6 + x + x2

Reorder the terms:
-6 + -9i + -3ix + x + x2 = 6 + -6 + -1x + x + -1x2 + x2

Combine like terms: 6 + -6 = 0
-6 + -9i + -3ix + x + x2 = 0 + -1x + x + -1x2 + x2
-6 + -9i + -3ix + x + x2 = -1x + x + -1x2 + x2

Combine like terms: -1x + x = 0
-6 + -9i + -3ix + x + x2 = 0 + -1x2 + x2
-6 + -9i + -3ix + x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-6 + -9i + -3ix + x + x2 = 0

The solution to this equation could not be determined.