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

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

Simplifying
(x² + -9)(x + -1(2 + -2i))(x + -1(2 + 2i)) = 0

Reorder the terms:
(-9 + x²)(x + -1(2 + -2i))(x + -1(2 + 2i)) = 0
(-9 + x²)(x + (2 * -1 + -2i * -1))(x + -1(2 + 2i)) = 0
(-9 + x²)(x + (-2 + 2i))(x + -1(2 + 2i)) = 0

Reorder the terms:
(-9 + x²)(-2 + 2i + x)(x + -1(2 + 2i)) = 0
(-9 + x²)(-2 + 2i + x)(x + (2 * -1 + 2i * -1)) = 0
(-9 + x²)(-2 + 2i + x)(x + (-2 + -2i)) = 0

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

Multiply (-9 + x²) * (-2 + 2i + x)
(-9(-2 + 2i + x) + x²(-2 + 2i + x))(-2 + -2i + x) = 0
((-2 * -9 + 2i * -9 + x * -9) + x²(-2 + 2i + x))(-2 + -2i + x) = 0
((18 + -18i + -9x) + x²(-2 + 2i + x))(-2 + -2i + x) = 0
(18 + -18i + -9x + (-2 * x² + 2i * x² + x * x²))(-2 + -2i + x) = 0

Reorder the terms:
(18 + -18i + -9x + (2ix² + -2x² + x³))(-2 + -2i + x) = 0
(18 + -18i + -9x + (2ix² + -2x² + x³))(-2 + -2i + x) = 0

Reorder the terms:
(18 + -18i + 2ix² + -9x + -2x² + x³)(-2 + -2i + x) = 0
(18 + -18i + 2ix² + -9x + -2x² + x³)(-2 + -2i + x) = 0

Multiply (18 + -18i + 2ix² + -9x + -2x² + x³) * (-2 + -2i + x)
(18(-2 + -2i + x) + -18i * (-2 + -2i + x) + 2ix² * (-2 + -2i + x) + -9x * (-2 + -2i + x) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0
((-2 * 18 + -2i * 18 + x * 18) + -18i * (-2 + -2i + x) + 2ix² * (-2 + -2i + x) + -9x * (-2 + -2i + x) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0
((-36 + -36i + 18x) + -18i * (-2 + -2i + x) + 2ix² * (-2 + -2i + x) + -9x * (-2 + -2i + x) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0
(-36 + -36i + 18x + (-2 * -18i + -2i * -18i + x * -18i) + 2ix² * (-2 + -2i + x) + -9x * (-2 + -2i + x) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0

Reorder the terms:
(-36 + -36i + 18x + (36i + -18ix + 36i²) + 2ix² * (-2 + -2i + x) + -9x * (-2 + -2i + x) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0
(-36 + -36i + 18x + (36i + -18ix + 36i²) + 2ix² * (-2 + -2i + x) + -9x * (-2 + -2i + x) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0
(-36 + -36i + 18x + 36i + -18ix + 36i² + (-2 * 2ix² + -2i * 2ix² + x * 2ix²) + -9x * (-2 + -2i + x) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0

Reorder the terms:
(-36 + -36i + 18x + 36i + -18ix + 36i² + (-4ix² + 2ix³ + -4i²x²) + -9x * (-2 + -2i + x) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0
(-36 + -36i + 18x + 36i + -18ix + 36i² + (-4ix² + 2ix³ + -4i²x²) + -9x * (-2 + -2i + x) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0
(-36 + -36i + 18x + 36i + -18ix + 36i² + -4ix² + 2ix³ + -4i²x² + (-2 * -9x + -2i * -9x + x * -9x) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0

Reorder the terms:
(-36 + -36i + 18x + 36i + -18ix + 36i² + -4ix² + 2ix³ + -4i²x² + (18ix + 18x + -9x²) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0
(-36 + -36i + 18x + 36i + -18ix + 36i² + -4ix² + 2ix³ + -4i²x² + (18ix + 18x + -9x²) + -2x² * (-2 + -2i + x) + x³(-2 + -2i + x)) = 0
(-36 + -36i + 18x + 36i + -18ix + 36i² + -4ix² + 2ix³ + -4i²x² + 18ix + 18x + -9x² + (-2 * -2x² + -2i * -2x² + x * -2x²) + x³(-2 + -2i + x)) = 0

Reorder the terms:
(-36 + -36i + 18x + 36i + -18ix + 36i² + -4ix² + 2ix³ + -4i²x² + 18ix + 18x + -9x² + (4ix² + 4x² + -2x³) + x³(-2 + -2i + x)) = 0
(-36 + -36i + 18x + 36i + -18ix + 36i² + -4ix² + 2ix³ + -4i²x² + 18ix + 18x + -9x² + (4ix² + 4x² + -2x³) + x³(-2 + -2i + x)) = 0
(-36 + -36i + 18x + 36i + -18ix + 36i² + -4ix² + 2ix³ + -4i²x² + 18ix + 18x + -9x² + 4ix² + 4x² + -2x³ + (-2 * x³ + -2i * x³ + x * x³)) = 0

Reorder the terms:
(-36 + -36i + 18x + 36i + -18ix + 36i² + -4ix² + 2ix³ + -4i²x² + 18ix + 18x + -9x² + 4ix² + 4x² + -2x³ + (-2ix³ + -2x³ + x⁴)) = 0
(-36 + -36i + 18x + 36i + -18ix + 36i² + -4ix² + 2ix³ + -4i²x² + 18ix + 18x + -9x² + 4ix² + 4x² + -2x³ + (-2ix³ + -2x³ + x⁴)) = 0

Reorder the terms:
(-36 + -36i + 36i + -18ix + 18ix + -4ix² + 4ix² + 2ix³ + -2ix³ + 36i² + -4i²x² + 18x + 18x + -9x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -36i + 36i = 0
(-36 + 0 + -18ix + 18ix + -4ix² + 4ix² + 2ix³ + -2ix³ + 36i² + -4i²x² + 18x + 18x + -9x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(-36 + -18ix + 18ix + -4ix² + 4ix² + 2ix³ + -2ix³ + 36i² + -4i²x² + 18x + 18x + -9x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -18ix + 18ix = 0
(-36 + 0 + -4ix² + 4ix² + 2ix³ + -2ix³ + 36i² + -4i²x² + 18x + 18x + -9x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(-36 + -4ix² + 4ix² + 2ix³ + -2ix³ + 36i² + -4i²x² + 18x + 18x + -9x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -4ix² + 4ix² = 0
(-36 + 0 + 2ix³ + -2ix³ + 36i² + -4i²x² + 18x + 18x + -9x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(-36 + 2ix³ + -2ix³ + 36i² + -4i²x² + 18x + 18x + -9x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: 2ix³ + -2ix³ = 0
(-36 + 0 + 36i² + -4i²x² + 18x + 18x + -9x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(-36 + 36i² + -4i²x² + 18x + 18x + -9x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: 18x + 18x = 36x
(-36 + 36i² + -4i²x² + 36x + -9x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -9x² + 4x² = -5x²
(-36 + 36i² + -4i²x² + 36x + -5x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -2x³ + -2x³ = -4x³
(-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴) = 0

Solving
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '36' to each side of the equation.
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + 36 + x⁴ = 0 + 36

Reorder the terms:
-36 + 36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 0 + 36
36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 0 + 36

Combine like terms: 0 + 36 = 36
36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 36

Add '-36x' to each side of the equation.
36i² + -4i²x² + 36x + -5x² + -4x³ + -36x + x⁴ = 36 + -36x

Reorder the terms:
36i² + -4i²x² + 36x + -36x + -5x² + -4x³ + x⁴ = 36 + -36x

Combine like terms: 36x + -36x = 0
36i² + -4i²x² + 0 + -5x² + -4x³ + x⁴ = 36 + -36x
36i² + -4i²x² + -5x² + -4x³ + x⁴ = 36 + -36x

Add '5x²' to each side of the equation.
36i² + -4i²x² + -5x² + -4x³ + 5x² + x⁴ = 36 + -36x + 5x²

Reorder the terms:
36i² + -4i²x² + -5x² + 5x² + -4x³ + x⁴ = 36 + -36x + 5x²

Combine like terms: -5x² + 5x² = 0
36i² + -4i²x² + 0 + -4x³ + x⁴ = 36 + -36x + 5x²
36i² + -4i²x² + -4x³ + x⁴ = 36 + -36x + 5x²

Add '4x³' to each side of the equation.
36i² + -4i²x² + -4x³ + 4x³ + x⁴ = 36 + -36x + 5x² + 4x³

Combine like terms: -4x³ + 4x³ = 0
36i² + -4i²x² + 0 + x⁴ = 36 + -36x + 5x² + 4x³
36i² + -4i²x² + x⁴ = 36 + -36x + 5x² + 4x³

Add '-1x⁴' to each side of the equation.
36i² + -4i²x² + x⁴ + -1x⁴ = 36 + -36x + 5x² + 4x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
36i² + -4i²x² + 0 = 36 + -36x + 5x² + 4x³ + -1x⁴
36i² + -4i²x² = 36 + -36x + 5x² + 4x³ + -1x⁴

Reorder the terms:
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 36 + -36x + 5x² + 4x³ + -1x⁴ + -36 + 36x + -5x² + -4x³ + x⁴

Reorder the terms:
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 36 + -36 + -36x + 36x + 5x² + -5x² + 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: 36 + -36 = 0
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 0 + -36x + 36x + 5x² + -5x² + 4x³ + -4x³ + -1x⁴ + x⁴
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = -36x + 36x + 5x² + -5x² + 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: -36x + 36x = 0
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 0 + 5x² + -5x² + 4x³ + -4x³ + -1x⁴ + x⁴
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 5x² + -5x² + 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: 5x² + -5x² = 0
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 0 + 4x³ + -4x³ + -1x⁴ + x⁴
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: 4x³ + -4x³ = 0
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 0 + -1x⁴ + x⁴
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-36 + 36i² + -4i²x² + 36x + -5x² + -4x³ + x⁴ = 0

The solution to this equation could not be determined.

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

Simple and best practice solution for (x^2-9)(x-(2-2i))(x-(2+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^2-9)(x-(2-2i))(x-(2+2i))=0 equation:

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