(3x+1)(x+2)(x-2)(x-2i)(x+2i)=

Simple and best practice solution for (3x+1)(x+2)(x-2)(x-2i)(x+2i)= 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.

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Solution for (3x+1)(x+2)(x-2)(x-2i)(x+2i)= equation:

Simplifying
(3x + 1)(x + 2)(x + -2)(x + -2i)(x + 2i) = 0

Reorder the terms:
(1 + 3x)(x + 2)(x + -2)(x + -2i)(x + 2i) = 0

Reorder the terms:
(1 + 3x)(2 + x)(x + -2)(x + -2i)(x + 2i) = 0

Reorder the terms:
(1 + 3x)(2 + x)(-2 + x)(x + -2i)(x + 2i) = 0

Reorder the terms:
(1 + 3x)(2 + x)(-2 + x)(-2i + x)(x + 2i) = 0

Reorder the terms:
(1 + 3x)(2 + x)(-2 + x)(-2i + x)(2i + x) = 0

Multiply (1 + 3x) * (2 + x)
(1(2 + x) + 3x * (2 + x))(-2 + x)(-2i + x)(2i + x) = 0
((2 * 1 + x * 1) + 3x * (2 + x))(-2 + x)(-2i + x)(2i + x) = 0
((2 + 1x) + 3x * (2 + x))(-2 + x)(-2i + x)(2i + x) = 0
(2 + 1x + (2 * 3x + x * 3x))(-2 + x)(-2i + x)(2i + x) = 0
(2 + 1x + (6x + 3x²))(-2 + x)(-2i + x)(2i + x) = 0

Combine like terms: 1x + 6x = 7x
(2 + 7x + 3x²)(-2 + x)(-2i + x)(2i + x) = 0

Multiply (2 + 7x + 3x²) * (-2 + x)
(2(-2 + x) + 7x * (-2 + x) + 3x² * (-2 + x))(-2i + x)(2i + x) = 0
((-2 * 2 + x * 2) + 7x * (-2 + x) + 3x² * (-2 + x))(-2i + x)(2i + x) = 0
((-4 + 2x) + 7x * (-2 + x) + 3x² * (-2 + x))(-2i + x)(2i + x) = 0
(-4 + 2x + (-2 * 7x + x * 7x) + 3x² * (-2 + x))(-2i + x)(2i + x) = 0
(-4 + 2x + (-14x + 7x²) + 3x² * (-2 + x))(-2i + x)(2i + x) = 0
(-4 + 2x + -14x + 7x² + (-2 * 3x² + x * 3x²))(-2i + x)(2i + x) = 0
(-4 + 2x + -14x + 7x² + (-6x² + 3x³))(-2i + x)(2i + x) = 0

Combine like terms: 2x + -14x = -12x
(-4 + -12x + 7x² + -6x² + 3x³)(-2i + x)(2i + x) = 0

Combine like terms: 7x² + -6x² = 1x²
(-4 + -12x + 1x² + 3x³)(-2i + x)(2i + x) = 0

Multiply (-4 + -12x + 1x² + 3x³) * (-2i + x)
(-4(-2i + x) + -12x * (-2i + x) + 1x² * (-2i + x) + 3x³ * (-2i + x))(2i + x) = 0
((-2i * -4 + x * -4) + -12x * (-2i + x) + 1x² * (-2i + x) + 3x³ * (-2i + x))(2i + x) = 0
((8i + -4x) + -12x * (-2i + x) + 1x² * (-2i + x) + 3x³ * (-2i + x))(2i + x) = 0
(8i + -4x + (-2i * -12x + x * -12x) + 1x² * (-2i + x) + 3x³ * (-2i + x))(2i + x) = 0
(8i + -4x + (24ix + -12x²) + 1x² * (-2i + x) + 3x³ * (-2i + x))(2i + x) = 0
(8i + -4x + 24ix + -12x² + (-2i * 1x² + x * 1x²) + 3x³ * (-2i + x))(2i + x) = 0
(8i + -4x + 24ix + -12x² + (-2ix² + 1x³) + 3x³ * (-2i + x))(2i + x) = 0
(8i + -4x + 24ix + -12x² + -2ix² + 1x³ + (-2i * 3x³ + x * 3x³))(2i + x) = 0
(8i + -4x + 24ix + -12x² + -2ix² + 1x³ + (-6ix³ + 3x⁴))(2i + x) = 0

Reorder the terms:
(8i + 24ix + -2ix² + -6ix³ + -4x + -12x² + 1x³ + 3x⁴)(2i + x) = 0
(8i + 24ix + -2ix² + -6ix³ + -4x + -12x² + 1x³ + 3x⁴)(2i + x) = 0

Multiply (8i + 24ix + -2ix² + -6ix³ + -4x + -12x² + 1x³ + 3x⁴) * (2i + x)
(8i * (2i + x) + 24ix * (2i + x) + -2ix² * (2i + x) + -6ix³ * (2i + x) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
((2i * 8i + x * 8i) + 24ix * (2i + x) + -2ix² * (2i + x) + -6ix³ * (2i + x) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0

Reorder the terms:
((8ix + 16i²) + 24ix * (2i + x) + -2ix² * (2i + x) + -6ix³ * (2i + x) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
((8ix + 16i²) + 24ix * (2i + x) + -2ix² * (2i + x) + -6ix³ * (2i + x) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + (2i * 24ix + x * 24ix) + -2ix² * (2i + x) + -6ix³ * (2i + x) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0

Reorder the terms:
(8ix + 16i² + (24ix² + 48i²x) + -2ix² * (2i + x) + -6ix³ * (2i + x) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + (24ix² + 48i²x) + -2ix² * (2i + x) + -6ix³ * (2i + x) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + (2i * -2ix² + x * -2ix²) + -6ix³ * (2i + x) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0

Reorder the terms:
(8ix + 16i² + 24ix² + 48i²x + (-2ix³ + -4i²x²) + -6ix³ * (2i + x) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + (-2ix³ + -4i²x²) + -6ix³ * (2i + x) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + (2i * -6ix³ + x * -6ix³) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0

Reorder the terms:
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + (-6ix⁴ + -12i²x³) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + (-6ix⁴ + -12i²x³) + -4x * (2i + x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + -6ix⁴ + -12i²x³ + (2i * -4x + x * -4x) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + -6ix⁴ + -12i²x³ + (-8ix + -4x²) + -12x² * (2i + x) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + -6ix⁴ + -12i²x³ + -8ix + -4x² + (2i * -12x² + x * -12x²) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + -6ix⁴ + -12i²x³ + -8ix + -4x² + (-24ix² + -12x³) + 1x³ * (2i + x) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + -6ix⁴ + -12i²x³ + -8ix + -4x² + -24ix² + -12x³ + (2i * 1x³ + x * 1x³) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + -6ix⁴ + -12i²x³ + -8ix + -4x² + -24ix² + -12x³ + (2ix³ + 1x⁴) + 3x⁴ * (2i + x)) = 0
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + -6ix⁴ + -12i²x³ + -8ix + -4x² + -24ix² + -12x³ + 2ix³ + 1x⁴ + (2i * 3x⁴ + x * 3x⁴)) = 0
(8ix + 16i² + 24ix² + 48i²x + -2ix³ + -4i²x² + -6ix⁴ + -12i²x³ + -8ix + -4x² + -24ix² + -12x³ + 2ix³ + 1x⁴ + (6ix⁴ + 3x⁵)) = 0

Reorder the terms:
(8ix + -8ix + 24ix² + -24ix² + -2ix³ + 2ix³ + -6ix⁴ + 6ix⁴ + 16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 3x⁵) = 0

Combine like terms: 8ix + -8ix = 0
(0 + 24ix² + -24ix² + -2ix³ + 2ix³ + -6ix⁴ + 6ix⁴ + 16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 3x⁵) = 0
(24ix² + -24ix² + -2ix³ + 2ix³ + -6ix⁴ + 6ix⁴ + 16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 3x⁵) = 0

Combine like terms: 24ix² + -24ix² = 0
(0 + -2ix³ + 2ix³ + -6ix⁴ + 6ix⁴ + 16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 3x⁵) = 0
(-2ix³ + 2ix³ + -6ix⁴ + 6ix⁴ + 16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 3x⁵) = 0

Combine like terms: -2ix³ + 2ix³ = 0
(0 + -6ix⁴ + 6ix⁴ + 16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 3x⁵) = 0
(-6ix⁴ + 6ix⁴ + 16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 3x⁵) = 0

Combine like terms: -6ix⁴ + 6ix⁴ = 0
(0 + 16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 3x⁵) = 0
(16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 3x⁵) = 0

Solving
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 3x⁵ = 0

Solving for variable 'i'.

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

Add '4x²' to each side of the equation.
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + 1x⁴ + 4x² + 3x⁵ = 0 + 4x²

Reorder the terms:
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + 4x² + -12x³ + 1x⁴ + 3x⁵ = 0 + 4x²

Combine like terms: -4x² + 4x² = 0
16i² + 48i²x + -4i²x² + -12i²x³ + 0 + -12x³ + 1x⁴ + 3x⁵ = 0 + 4x²
16i² + 48i²x + -4i²x² + -12i²x³ + -12x³ + 1x⁴ + 3x⁵ = 0 + 4x²
Remove the zero:
16i² + 48i²x + -4i²x² + -12i²x³ + -12x³ + 1x⁴ + 3x⁵ = 4x²

Add '12x³' to each side of the equation.
16i² + 48i²x + -4i²x² + -12i²x³ + -12x³ + 1x⁴ + 12x³ + 3x⁵ = 4x² + 12x³

Reorder the terms:
16i² + 48i²x + -4i²x² + -12i²x³ + -12x³ + 12x³ + 1x⁴ + 3x⁵ = 4x² + 12x³

Combine like terms: -12x³ + 12x³ = 0
16i² + 48i²x + -4i²x² + -12i²x³ + 0 + 1x⁴ + 3x⁵ = 4x² + 12x³
16i² + 48i²x + -4i²x² + -12i²x³ + 1x⁴ + 3x⁵ = 4x² + 12x³

Add '-1x⁴' to each side of the equation.
16i² + 48i²x + -4i²x² + -12i²x³ + 1x⁴ + -1x⁴ + 3x⁵ = 4x² + 12x³ + -1x⁴

Combine like terms: 1x⁴ + -1x⁴ = 0
16i² + 48i²x + -4i²x² + -12i²x³ + 0 + 3x⁵ = 4x² + 12x³ + -1x⁴
16i² + 48i²x + -4i²x² + -12i²x³ + 3x⁵ = 4x² + 12x³ + -1x⁴

Add '-3x⁵' to each side of the equation.
16i² + 48i²x + -4i²x² + -12i²x³ + 3x⁵ + -3x⁵ = 4x² + 12x³ + -1x⁴ + -3x⁵

Combine like terms: 3x⁵ + -3x⁵ = 0
16i² + 48i²x + -4i²x² + -12i²x³ + 0 = 4x² + 12x³ + -1x⁴ + -3x⁵
16i² + 48i²x + -4i²x² + -12i²x³ = 4x² + 12x³ + -1x⁴ + -3x⁵

Reorder the terms:
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + x⁴ + 3x⁵ = 4x² + -4x² + 12x³ + -12x³ + -1x⁴ + x⁴ + -3x⁵ + 3x⁵

Combine like terms: 4x² + -4x² = 0
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + x⁴ + 3x⁵ = 0 + 12x³ + -12x³ + -1x⁴ + x⁴ + -3x⁵ + 3x⁵
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + x⁴ + 3x⁵ = 12x³ + -12x³ + -1x⁴ + x⁴ + -3x⁵ + 3x⁵

Combine like terms: 12x³ + -12x³ = 0
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + x⁴ + 3x⁵ = 0 + -1x⁴ + x⁴ + -3x⁵ + 3x⁵
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + x⁴ + 3x⁵ = -1x⁴ + x⁴ + -3x⁵ + 3x⁵

Combine like terms: -1x⁴ + x⁴ = 0
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + x⁴ + 3x⁵ = 0 + -3x⁵ + 3x⁵
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + x⁴ + 3x⁵ = -3x⁵ + 3x⁵

Combine like terms: -3x⁵ + 3x⁵ = 0
16i² + 48i²x + -4i²x² + -12i²x³ + -4x² + -12x³ + x⁴ + 3x⁵ = 0

The solution to this equation could not be determined.

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(3x+1)(x+2)(x-2)(x-2i)(x+2i)=

Simple and best practice solution for (3x+1)(x+2)(x-2)(x-2i)(x+2i)= 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 (3x+1)(x+2)(x-2)(x-2i)(x+2i)= equation:

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