(x^2+1)(x^3+2x)(x^2+4x-16i-4xi)=0

Simple and best practice solution for (x^2+1)(x^3+2x)(x^2+4x-16i-4xi)=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.

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Solution for (x^2+1)(x^3+2x)(x^2+4x-16i-4xi)=0 equation:

Simplifying
(x² + 1)(x³ + 2x)(x² + 4x + -16i + -4xi) = 0

Reorder the terms:
(1 + x²)(x³ + 2x)(x² + 4x + -16i + -4xi) = 0

Reorder the terms:
(1 + x²)(2x + x³)(x² + 4x + -16i + -4xi) = 0

Reorder the terms:
(1 + x²)(2x + x³)(-16i + -4ix + 4x + x²) = 0

Multiply (1 + x²) * (2x + x³)
(1(2x + x³) + x²(2x + x³))(-16i + -4ix + 4x + x²) = 0
((2x * 1 + x³ * 1) + x²(2x + x³))(-16i + -4ix + 4x + x²) = 0
((2x + 1x³) + x²(2x + x³))(-16i + -4ix + 4x + x²) = 0
(2x + 1x³ + (2x * x² + x³ * x²))(-16i + -4ix + 4x + x²) = 0
(2x + 1x³ + (2x³ + x⁵))(-16i + -4ix + 4x + x²) = 0

Combine like terms: 1x³ + 2x³ = 3x³
(2x + 3x³ + x⁵)(-16i + -4ix + 4x + x²) = 0

Multiply (2x + 3x³ + x⁵) * (-16i + -4ix + 4x + x²)
(2x * (-16i + -4ix + 4x + x²) + 3x³ * (-16i + -4ix + 4x + x²) + x⁵(-16i + -4ix + 4x + x²)) = 0
((-16i * 2x + -4ix * 2x + 4x * 2x + x² * 2x) + 3x³ * (-16i + -4ix + 4x + x²) + x⁵(-16i + -4ix + 4x + x²)) = 0
((-32ix + -8ix² + 8x² + 2x³) + 3x³ * (-16i + -4ix + 4x + x²) + x⁵(-16i + -4ix + 4x + x²)) = 0
(-32ix + -8ix² + 8x² + 2x³ + (-16i * 3x³ + -4ix * 3x³ + 4x * 3x³ + x² * 3x³) + x⁵(-16i + -4ix + 4x + x²)) = 0
(-32ix + -8ix² + 8x² + 2x³ + (-48ix³ + -12ix⁴ + 12x⁴ + 3x⁵) + x⁵(-16i + -4ix + 4x + x²)) = 0
(-32ix + -8ix² + 8x² + 2x³ + -48ix³ + -12ix⁴ + 12x⁴ + 3x⁵ + (-16i * x⁵ + -4ix * x⁵ + 4x * x⁵ + x² * x⁵)) = 0
(-32ix + -8ix² + 8x² + 2x³ + -48ix³ + -12ix⁴ + 12x⁴ + 3x⁵ + (-16ix⁵ + -4ix⁶ + 4x⁶ + x⁷)) = 0

Reorder the terms:
(-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷) = 0
(-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷) = 0

Solving
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = 0

Solving for variable 'i'.

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

Add '-8x²' to each side of the equation.
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + -8x² + x⁷ = 0 + -8x²

Reorder the terms:
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + -8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = 0 + -8x²

Combine like terms: 8x² + -8x² = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 0 + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = 0 + -8x²
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = 0 + -8x²
Remove the zero:
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -8x²

Add '-2x³' to each side of the equation.
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + -2x³ + x⁷ = -8x² + -2x³

Reorder the terms:
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 2x³ + -2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -8x² + -2x³

Combine like terms: 2x³ + -2x³ = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 0 + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -8x² + -2x³
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -8x² + -2x³

Add '-12x⁴' to each side of the equation.
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 12x⁴ + 3x⁵ + 4x⁶ + -12x⁴ + x⁷ = -8x² + -2x³ + -12x⁴

Reorder the terms:
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 12x⁴ + -12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -8x² + -2x³ + -12x⁴

Combine like terms: 12x⁴ + -12x⁴ = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 0 + 3x⁵ + 4x⁶ + x⁷ = -8x² + -2x³ + -12x⁴
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 3x⁵ + 4x⁶ + x⁷ = -8x² + -2x³ + -12x⁴

Add '-3x⁵' to each side of the equation.
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 3x⁵ + 4x⁶ + -3x⁵ + x⁷ = -8x² + -2x³ + -12x⁴ + -3x⁵

Reorder the terms:
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 3x⁵ + -3x⁵ + 4x⁶ + x⁷ = -8x² + -2x³ + -12x⁴ + -3x⁵

Combine like terms: 3x⁵ + -3x⁵ = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 0 + 4x⁶ + x⁷ = -8x² + -2x³ + -12x⁴ + -3x⁵
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 4x⁶ + x⁷ = -8x² + -2x³ + -12x⁴ + -3x⁵

Add '-4x⁶' to each side of the equation.
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 4x⁶ + -4x⁶ + x⁷ = -8x² + -2x³ + -12x⁴ + -3x⁵ + -4x⁶

Combine like terms: 4x⁶ + -4x⁶ = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 0 + x⁷ = -8x² + -2x³ + -12x⁴ + -3x⁵ + -4x⁶
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + x⁷ = -8x² + -2x³ + -12x⁴ + -3x⁵ + -4x⁶

Add '-1x⁷' to each side of the equation.
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + x⁷ + -1x⁷ = -8x² + -2x³ + -12x⁴ + -3x⁵ + -4x⁶ + -1x⁷

Combine like terms: x⁷ + -1x⁷ = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 0 = -8x² + -2x³ + -12x⁴ + -3x⁵ + -4x⁶ + -1x⁷
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ = -8x² + -2x³ + -12x⁴ + -3x⁵ + -4x⁶ + -1x⁷

Reorder the terms:
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -8x² + 8x² + -2x³ + 2x³ + -12x⁴ + 12x⁴ + -3x⁵ + 3x⁵ + -4x⁶ + 4x⁶ + -1x⁷ + x⁷

Combine like terms: -8x² + 8x² = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = 0 + -2x³ + 2x³ + -12x⁴ + 12x⁴ + -3x⁵ + 3x⁵ + -4x⁶ + 4x⁶ + -1x⁷ + x⁷
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -2x³ + 2x³ + -12x⁴ + 12x⁴ + -3x⁵ + 3x⁵ + -4x⁶ + 4x⁶ + -1x⁷ + x⁷

Combine like terms: -2x³ + 2x³ = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = 0 + -12x⁴ + 12x⁴ + -3x⁵ + 3x⁵ + -4x⁶ + 4x⁶ + -1x⁷ + x⁷
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -12x⁴ + 12x⁴ + -3x⁵ + 3x⁵ + -4x⁶ + 4x⁶ + -1x⁷ + x⁷

Combine like terms: -12x⁴ + 12x⁴ = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = 0 + -3x⁵ + 3x⁵ + -4x⁶ + 4x⁶ + -1x⁷ + x⁷
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -3x⁵ + 3x⁵ + -4x⁶ + 4x⁶ + -1x⁷ + x⁷

Combine like terms: -3x⁵ + 3x⁵ = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = 0 + -4x⁶ + 4x⁶ + -1x⁷ + x⁷
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -4x⁶ + 4x⁶ + -1x⁷ + x⁷

Combine like terms: -4x⁶ + 4x⁶ = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = 0 + -1x⁷ + x⁷
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = -1x⁷ + x⁷

Combine like terms: -1x⁷ + x⁷ = 0
-32ix + -8ix² + -48ix³ + -12ix⁴ + -16ix⁵ + -4ix⁶ + 8x² + 2x³ + 12x⁴ + 3x⁵ + 4x⁶ + x⁷ = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 8x + 2x² + 12x³ + 3x⁴ + 4x⁵ + x⁶) = 0

Subproblem 1Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 8x + 2x² + 12x³ + 3x⁴ + 4x⁵ + x⁶)' equal to zero and attempt to solve:

Simplifying
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 8x + 2x² + 12x³ + 3x⁴ + 4x⁵ + x⁶ = 0

Solving
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 8x + 2x² + 12x³ + 3x⁴ + 4x⁵ + x⁶ = 0

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

Add '-8x' to each side of the equation.
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 8x + 2x² + 12x³ + 3x⁴ + 4x⁵ + -8x + x⁶ = 0 + -8x

Reorder the terms:
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 8x + -8x + 2x² + 12x³ + 3x⁴ + 4x⁵ + x⁶ = 0 + -8x

Combine like terms: 8x + -8x = 0
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 0 + 2x² + 12x³ + 3x⁴ + 4x⁵ + x⁶ = 0 + -8x
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 2x² + 12x³ + 3x⁴ + 4x⁵ + x⁶ = 0 + -8x
Remove the zero:
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 2x² + 12x³ + 3x⁴ + 4x⁵ + x⁶ = -8x

Add '-2x²' to each side of the equation.
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 2x² + 12x³ + 3x⁴ + 4x⁵ + -2x² + x⁶ = -8x + -2x²

Reorder the terms:
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 2x² + -2x² + 12x³ + 3x⁴ + 4x⁵ + x⁶ = -8x + -2x²

Combine like terms: 2x² + -2x² = 0
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 0 + 12x³ + 3x⁴ + 4x⁵ + x⁶ = -8x + -2x²
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 12x³ + 3x⁴ + 4x⁵ + x⁶ = -8x + -2x²

Add '-12x³' to each side of the equation.
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 12x³ + 3x⁴ + 4x⁵ + -12x³ + x⁶ = -8x + -2x² + -12x³

Reorder the terms:
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 12x³ + -12x³ + 3x⁴ + 4x⁵ + x⁶ = -8x + -2x² + -12x³

Combine like terms: 12x³ + -12x³ = 0
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 0 + 3x⁴ + 4x⁵ + x⁶ = -8x + -2x² + -12x³
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 3x⁴ + 4x⁵ + x⁶ = -8x + -2x² + -12x³

Add '-3x⁴' to each side of the equation.
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 3x⁴ + 4x⁵ + -3x⁴ + x⁶ = -8x + -2x² + -12x³ + -3x⁴

Reorder the terms:
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 3x⁴ + -3x⁴ + 4x⁵ + x⁶ = -8x + -2x² + -12x³ + -3x⁴

Combine like terms: 3x⁴ + -3x⁴ = 0
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 0 + 4x⁵ + x⁶ = -8x + -2x² + -12x³ + -3x⁴
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 4x⁵ + x⁶ = -8x + -2x² + -12x³ + -3x⁴

Add '-4x⁵' to each side of the equation.
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 4x⁵ + -4x⁵ + x⁶ = -8x + -2x² + -12x³ + -3x⁴ + -4x⁵

Combine like terms: 4x⁵ + -4x⁵ = 0
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 0 + x⁶ = -8x + -2x² + -12x³ + -3x⁴ + -4x⁵
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + x⁶ = -8x + -2x² + -12x³ + -3x⁴ + -4x⁵

Add '-1x⁶' to each side of the equation.
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + x⁶ + -1x⁶ = -8x + -2x² + -12x³ + -3x⁴ + -4x⁵ + -1x⁶

Combine like terms: x⁶ + -1x⁶ = 0
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ + 0 = -8x + -2x² + -12x³ + -3x⁴ + -4x⁵ + -1x⁶
-32i + -8ix + -48ix² + -12ix³ + -16ix⁴ + -4ix⁵ = -8x + -2x² + -12x³ + -3x⁴ + -4x⁵ + -1x⁶

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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(x^2+1)(x^3+2x)(x^2+4x-16i-4xi)=0

Simple and best practice solution for (x^2+1)(x^3+2x)(x^2+4x-16i-4xi)=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+1)(x^3+2x)(x^2+4x-16i-4xi)=0 equation:

Subproblem 1

Subproblem 2

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