(x+3)(x-9-2i)(x-9+2i)=0

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Solution for (x+3)(x-9-2i)(x-9+2i)=0 equation:

Simplifying
(x + 3)(x + -9 + -2i)(x + -9 + 2i) = 0

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

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

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

Multiply (3 + x) * (-9 + -2i + x)
(3(-9 + -2i + x) + x(-9 + -2i + x))(-9 + 2i + x) = 0
((-9 * 3 + -2i * 3 + x * 3) + x(-9 + -2i + x))(-9 + 2i + x) = 0
((-27 + -6i + 3x) + x(-9 + -2i + x))(-9 + 2i + x) = 0
(-27 + -6i + 3x + (-9 * x + -2i * x + x * x))(-9 + 2i + x) = 0

Reorder the terms:
(-27 + -6i + 3x + (-2ix + -9x + x²))(-9 + 2i + x) = 0
(-27 + -6i + 3x + (-2ix + -9x + x²))(-9 + 2i + x) = 0

Reorder the terms:
(-27 + -6i + -2ix + 3x + -9x + x²)(-9 + 2i + x) = 0

Combine like terms: 3x + -9x = -6x
(-27 + -6i + -2ix + -6x + x²)(-9 + 2i + x) = 0

Multiply (-27 + -6i + -2ix + -6x + x²) * (-9 + 2i + x)
(-27(-9 + 2i + x) + -6i * (-9 + 2i + x) + -2ix * (-9 + 2i + x) + -6x * (-9 + 2i + x) + x²(-9 + 2i + x)) = 0
((-9 * -27 + 2i * -27 + x * -27) + -6i * (-9 + 2i + x) + -2ix * (-9 + 2i + x) + -6x * (-9 + 2i + x) + x²(-9 + 2i + x)) = 0
((243 + -54i + -27x) + -6i * (-9 + 2i + x) + -2ix * (-9 + 2i + x) + -6x * (-9 + 2i + x) + x²(-9 + 2i + x)) = 0
(243 + -54i + -27x + (-9 * -6i + 2i * -6i + x * -6i) + -2ix * (-9 + 2i + x) + -6x * (-9 + 2i + x) + x²(-9 + 2i + x)) = 0

Reorder the terms:
(243 + -54i + -27x + (54i + -6ix + -12i²) + -2ix * (-9 + 2i + x) + -6x * (-9 + 2i + x) + x²(-9 + 2i + x)) = 0
(243 + -54i + -27x + (54i + -6ix + -12i²) + -2ix * (-9 + 2i + x) + -6x * (-9 + 2i + x) + x²(-9 + 2i + x)) = 0
(243 + -54i + -27x + 54i + -6ix + -12i² + (-9 * -2ix + 2i * -2ix + x * -2ix) + -6x * (-9 + 2i + x) + x²(-9 + 2i + x)) = 0

Reorder the terms:
(243 + -54i + -27x + 54i + -6ix + -12i² + (18ix + -2ix² + -4i²x) + -6x * (-9 + 2i + x) + x²(-9 + 2i + x)) = 0
(243 + -54i + -27x + 54i + -6ix + -12i² + (18ix + -2ix² + -4i²x) + -6x * (-9 + 2i + x) + x²(-9 + 2i + x)) = 0
(243 + -54i + -27x + 54i + -6ix + -12i² + 18ix + -2ix² + -4i²x + (-9 * -6x + 2i * -6x + x * -6x) + x²(-9 + 2i + x)) = 0

Reorder the terms:
(243 + -54i + -27x + 54i + -6ix + -12i² + 18ix + -2ix² + -4i²x + (-12ix + 54x + -6x²) + x²(-9 + 2i + x)) = 0
(243 + -54i + -27x + 54i + -6ix + -12i² + 18ix + -2ix² + -4i²x + (-12ix + 54x + -6x²) + x²(-9 + 2i + x)) = 0
(243 + -54i + -27x + 54i + -6ix + -12i² + 18ix + -2ix² + -4i²x + -12ix + 54x + -6x² + (-9 * x² + 2i * x² + x * x²)) = 0

Reorder the terms:
(243 + -54i + -27x + 54i + -6ix + -12i² + 18ix + -2ix² + -4i²x + -12ix + 54x + -6x² + (2ix² + -9x² + x³)) = 0
(243 + -54i + -27x + 54i + -6ix + -12i² + 18ix + -2ix² + -4i²x + -12ix + 54x + -6x² + (2ix² + -9x² + x³)) = 0

Reorder the terms:
(243 + -54i + 54i + -6ix + 18ix + -12ix + -2ix² + 2ix² + -12i² + -4i²x + -27x + 54x + -6x² + -9x² + x³) = 0

Combine like terms: -54i + 54i = 0
(243 + 0 + -6ix + 18ix + -12ix + -2ix² + 2ix² + -12i² + -4i²x + -27x + 54x + -6x² + -9x² + x³) = 0
(243 + -6ix + 18ix + -12ix + -2ix² + 2ix² + -12i² + -4i²x + -27x + 54x + -6x² + -9x² + x³) = 0

Combine like terms: -6ix + 18ix = 12ix
(243 + 12ix + -12ix + -2ix² + 2ix² + -12i² + -4i²x + -27x + 54x + -6x² + -9x² + x³) = 0

Combine like terms: 12ix + -12ix = 0
(243 + 0 + -2ix² + 2ix² + -12i² + -4i²x + -27x + 54x + -6x² + -9x² + x³) = 0
(243 + -2ix² + 2ix² + -12i² + -4i²x + -27x + 54x + -6x² + -9x² + x³) = 0

Combine like terms: -2ix² + 2ix² = 0
(243 + 0 + -12i² + -4i²x + -27x + 54x + -6x² + -9x² + x³) = 0
(243 + -12i² + -4i²x + -27x + 54x + -6x² + -9x² + x³) = 0

Combine like terms: -27x + 54x = 27x
(243 + -12i² + -4i²x + 27x + -6x² + -9x² + x³) = 0

Combine like terms: -6x² + -9x² = -15x²
(243 + -12i² + -4i²x + 27x + -15x² + x³) = 0

Solving
243 + -12i² + -4i²x + 27x + -15x² + x³ = 0

Solving for variable 'i'.

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

Add '-243' to each side of the equation.
243 + -12i² + -4i²x + 27x + -15x² + -243 + x³ = 0 + -243

Reorder the terms:
243 + -243 + -12i² + -4i²x + 27x + -15x² + x³ = 0 + -243

Combine like terms: 243 + -243 = 0
0 + -12i² + -4i²x + 27x + -15x² + x³ = 0 + -243
-12i² + -4i²x + 27x + -15x² + x³ = 0 + -243

Combine like terms: 0 + -243 = -243
-12i² + -4i²x + 27x + -15x² + x³ = -243

Add '-27x' to each side of the equation.
-12i² + -4i²x + 27x + -15x² + -27x + x³ = -243 + -27x

Reorder the terms:
-12i² + -4i²x + 27x + -27x + -15x² + x³ = -243 + -27x

Combine like terms: 27x + -27x = 0
-12i² + -4i²x + 0 + -15x² + x³ = -243 + -27x
-12i² + -4i²x + -15x² + x³ = -243 + -27x

Add '15x²' to each side of the equation.
-12i² + -4i²x + -15x² + 15x² + x³ = -243 + -27x + 15x²

Combine like terms: -15x² + 15x² = 0
-12i² + -4i²x + 0 + x³ = -243 + -27x + 15x²
-12i² + -4i²x + x³ = -243 + -27x + 15x²

Add '-1x³' to each side of the equation.
-12i² + -4i²x + x³ + -1x³ = -243 + -27x + 15x² + -1x³

Combine like terms: x³ + -1x³ = 0
-12i² + -4i²x + 0 = -243 + -27x + 15x² + -1x³
-12i² + -4i²x = -243 + -27x + 15x² + -1x³

Reorder the terms:
243 + -12i² + -4i²x + 27x + -15x² + x³ = -243 + -27x + 15x² + -1x³ + 243 + 27x + -15x² + x³

Reorder the terms:
243 + -12i² + -4i²x + 27x + -15x² + x³ = -243 + 243 + -27x + 27x + 15x² + -15x² + -1x³ + x³

Combine like terms: -243 + 243 = 0
243 + -12i² + -4i²x + 27x + -15x² + x³ = 0 + -27x + 27x + 15x² + -15x² + -1x³ + x³
243 + -12i² + -4i²x + 27x + -15x² + x³ = -27x + 27x + 15x² + -15x² + -1x³ + x³

Combine like terms: -27x + 27x = 0
243 + -12i² + -4i²x + 27x + -15x² + x³ = 0 + 15x² + -15x² + -1x³ + x³
243 + -12i² + -4i²x + 27x + -15x² + x³ = 15x² + -15x² + -1x³ + x³

Combine like terms: 15x² + -15x² = 0
243 + -12i² + -4i²x + 27x + -15x² + x³ = 0 + -1x³ + x³
243 + -12i² + -4i²x + 27x + -15x² + x³ = -1x³ + x³

Combine like terms: -1x³ + x³ = 0
243 + -12i² + -4i²x + 27x + -15x² + x³ = 0

The solution to this equation could not be determined.

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(x+3)(x-9-2i)(x-9+2i)=0

Simple and best practice solution for (x+3)(x-9-2i)(x-9+2i)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (x+3)(x-9-2i)(x-9+2i)=0 equation:

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