(X)(x+2)(x-(2+I))(x-(2-i))=0

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

Simplifying
(X)(x + 2)(x + -1(2 + I))(x + -1(2 + -1i)) = 0

Reorder the terms:
X(2 + x)(x + -1(2 + I))(x + -1(2 + -1i)) = 0
X(2 + x)(x + (2 * -1 + I * -1))(x + -1(2 + -1i)) = 0
X(2 + x)(x + (-2 + -1I))(x + -1(2 + -1i)) = 0

Reorder the terms:
X(2 + x)(-2 + -1I + x)(x + -1(2 + -1i)) = 0
X(2 + x)(-2 + -1I + x)(x + (2 * -1 + -1i * -1)) = 0
X(2 + x)(-2 + -1I + x)(x + (-2 + 1i)) = 0

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

Multiply (2 + x) * (-2 + -1I + x)
X(2(-2 + -1I + x) + x(-2 + -1I + x))(-2 + 1i + x) = 0
X((-2 * 2 + -1I * 2 + x * 2) + x(-2 + -1I + x))(-2 + 1i + x) = 0
X((-4 + -2I + 2x) + x(-2 + -1I + x))(-2 + 1i + x) = 0
X(-4 + -2I + 2x + (-2 * x + -1I * x + x * x))(-2 + 1i + x) = 0
X(-4 + -2I + 2x + (-2x + -1xI + x²))(-2 + 1i + x) = 0

Combine like terms: 2x + -2x = 0
X(-4 + -2I + 0 + -1xI + x²)(-2 + 1i + x) = 0
X(-4 + -2I + -1xI + x²)(-2 + 1i + x) = 0

Multiply (-4 + -2I + -1xI + x²) * (-2 + 1i + x)
X(-4(-2 + 1i + x) + -2I * (-2 + 1i + x) + -1xI * (-2 + 1i + x) + x²(-2 + 1i + x)) = 0
X((-2 * -4 + 1i * -4 + x * -4) + -2I * (-2 + 1i + x) + -1xI * (-2 + 1i + x) + x²(-2 + 1i + x)) = 0
X((8 + -4i + -4x) + -2I * (-2 + 1i + x) + -1xI * (-2 + 1i + x) + x²(-2 + 1i + x)) = 0
X(8 + -4i + -4x + (-2 * -2I + 1i * -2I + x * -2I) + -1xI * (-2 + 1i + x) + x²(-2 + 1i + x)) = 0
X(8 + -4i + -4x + (4I + -2iI + -2xI) + -1xI * (-2 + 1i + x) + x²(-2 + 1i + x)) = 0
X(8 + -4i + -4x + 4I + -2iI + -2xI + (-2 * -1xI + 1i * -1xI + x * -1xI) + x²(-2 + 1i + x)) = 0

Reorder the terms:
X(8 + -4i + -4x + 4I + -2iI + -2xI + (-1ixI + 2xI + -1x²I) + x²(-2 + 1i + x)) = 0
X(8 + -4i + -4x + 4I + -2iI + -2xI + (-1ixI + 2xI + -1x²I) + x²(-2 + 1i + x)) = 0
X(8 + -4i + -4x + 4I + -2iI + -2xI + -1ixI + 2xI + -1x²I + (-2 * x² + 1i * x² + x * x²)) = 0

Reorder the terms:
X(8 + -4i + -4x + 4I + -2iI + -2xI + -1ixI + 2xI + -1x²I + (1ix² + -2x² + x³)) = 0
X(8 + -4i + -4x + 4I + -2iI + -2xI + -1ixI + 2xI + -1x²I + (1ix² + -2x² + x³)) = 0

Reorder the terms:
X(8 + 4I + -4i + -2iI + -1ixI + 1ix² + -4x + -2xI + 2xI + -2x² + -1x²I + x³) = 0

Combine like terms: -2xI + 2xI = 0
X(8 + 4I + -4i + -2iI + -1ixI + 1ix² + -4x + 0 + -2x² + -1x²I + x³) = 0
X(8 + 4I + -4i + -2iI + -1ixI + 1ix² + -4x + -2x² + -1x²I + x³) = 0
(8 * X + 4I * X + -4i * X + -2iI * X + -1ixI * X + 1ix² * X + -4x * X + -2x² * X + -1x²I * X + x³ * X) = 0

Reorder the terms:
(4IX + 8X + -2iIX + -4iX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + x³X) = 0
(4IX + 8X + -2iIX + -4iX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + x³X) = 0

Solving
4IX + 8X + -2iIX + -4iX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + x³X = 0

Solving for variable 'I'.

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

Add '-8X' to each side of the equation.
4IX + 8X + -2iIX + -4iX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + -8X + x³X = 0 + -8X

Reorder the terms:
4IX + 8X + -8X + -2iIX + -4iX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + x³X = 0 + -8X

Combine like terms: 8X + -8X = 0
4IX + 0 + -2iIX + -4iX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + x³X = 0 + -8X
4IX + -2iIX + -4iX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + x³X = 0 + -8X
Remove the zero:
4IX + -2iIX + -4iX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + x³X = -8X

Add '4iX' to each side of the equation.
4IX + -2iIX + -4iX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + 4iX + x³X = -8X + 4iX

Reorder the terms:
4IX + -2iIX + -4iX + 4iX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + x³X = -8X + 4iX

Combine like terms: -4iX + 4iX = 0
4IX + -2iIX + 0 + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + x³X = -8X + 4iX
4IX + -2iIX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + x³X = -8X + 4iX

Add '-1ix²X' to each side of the equation.
4IX + -2iIX + -1ixIX + 1ix²X + -4xX + -1x²IX + -2x²X + -1ix²X + x³X = -8X + 4iX + -1ix²X

Reorder the terms:
4IX + -2iIX + -1ixIX + 1ix²X + -1ix²X + -4xX + -1x²IX + -2x²X + x³X = -8X + 4iX + -1ix²X

Combine like terms: 1ix²X + -1ix²X = 0
4IX + -2iIX + -1ixIX + 0 + -4xX + -1x²IX + -2x²X + x³X = -8X + 4iX + -1ix²X
4IX + -2iIX + -1ixIX + -4xX + -1x²IX + -2x²X + x³X = -8X + 4iX + -1ix²X

Add '4xX' to each side of the equation.
4IX + -2iIX + -1ixIX + -4xX + -1x²IX + -2x²X + 4xX + x³X = -8X + 4iX + -1ix²X + 4xX

Reorder the terms:
4IX + -2iIX + -1ixIX + -4xX + 4xX + -1x²IX + -2x²X + x³X = -8X + 4iX + -1ix²X + 4xX

Combine like terms: -4xX + 4xX = 0
4IX + -2iIX + -1ixIX + 0 + -1x²IX + -2x²X + x³X = -8X + 4iX + -1ix²X + 4xX
4IX + -2iIX + -1ixIX + -1x²IX + -2x²X + x³X = -8X + 4iX + -1ix²X + 4xX

Add '2x²X' to each side of the equation.
4IX + -2iIX + -1ixIX + -1x²IX + -2x²X + 2x²X + x³X = -8X + 4iX + -1ix²X + 4xX + 2x²X

Combine like terms: -2x²X + 2x²X = 0
4IX + -2iIX + -1ixIX + -1x²IX + 0 + x³X = -8X + 4iX + -1ix²X + 4xX + 2x²X
4IX + -2iIX + -1ixIX + -1x²IX + x³X = -8X + 4iX + -1ix²X + 4xX + 2x²X

Add '-1x³X' to each side of the equation.
4IX + -2iIX + -1ixIX + -1x²IX + x³X + -1x³X = -8X + 4iX + -1ix²X + 4xX + 2x²X + -1x³X

Combine like terms: x³X + -1x³X = 0
4IX + -2iIX + -1ixIX + -1x²IX + 0 = -8X + 4iX + -1ix²X + 4xX + 2x²X + -1x³X
4IX + -2iIX + -1ixIX + -1x²IX = -8X + 4iX + -1ix²X + 4xX + 2x²X + -1x³X

Reorder the terms:
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = -8X + 4iX + -1ix²X + 4xX + 2x²X + -1x³X + 8X + -4iX + ix²X + -4xX + -2x²X + x³X

Reorder the terms:
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = -8X + 8X + 4iX + -4iX + -1ix²X + ix²X + 4xX + -4xX + 2x²X + -2x²X + -1x³X + x³X

Combine like terms: -8X + 8X = 0
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = 0 + 4iX + -4iX + -1ix²X + ix²X + 4xX + -4xX + 2x²X + -2x²X + -1x³X + x³X
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = 4iX + -4iX + -1ix²X + ix²X + 4xX + -4xX + 2x²X + -2x²X + -1x³X + x³X

Combine like terms: 4iX + -4iX = 0
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = 0 + -1ix²X + ix²X + 4xX + -4xX + 2x²X + -2x²X + -1x³X + x³X
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = -1ix²X + ix²X + 4xX + -4xX + 2x²X + -2x²X + -1x³X + x³X

Combine like terms: -1ix²X + ix²X = 0
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = 0 + 4xX + -4xX + 2x²X + -2x²X + -1x³X + x³X
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = 4xX + -4xX + 2x²X + -2x²X + -1x³X + x³X

Combine like terms: 4xX + -4xX = 0
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = 0 + 2x²X + -2x²X + -1x³X + x³X
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = 2x²X + -2x²X + -1x³X + x³X

Combine like terms: 2x²X + -2x²X = 0
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = 0 + -1x³X + x³X
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = -1x³X + x³X

Combine like terms: -1x³X + x³X = 0
4IX + 8X + -2iIX + -4iX + -1ixIX + ix²X + -4xX + -1x²IX + -2x²X + x³X = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(4I + 8 + -2iI + -4i + -1ixI + ix² + -4x + -1x²I + -2x² + x³) = 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 '(4I + 8 + -2iI + -4i + -1ixI + ix² + -4x + -1x²I + -2x² + x³)' equal to zero and attempt to solve:

Simplifying
4I + 8 + -2iI + -4i + -1ixI + ix² + -4x + -1x²I + -2x² + x³ = 0

Reorder the terms:
8 + 4I + -4i + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + x³ = 0

Solving
8 + 4I + -4i + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + x³ = 0

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

Add '-8' to each side of the equation.
8 + 4I + -4i + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + -8 + x³ = 0 + -8

Reorder the terms:
8 + -8 + 4I + -4i + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + x³ = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 4I + -4i + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + x³ = 0 + -8
4I + -4i + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + x³ = 0 + -8

Combine like terms: 0 + -8 = -8
4I + -4i + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + x³ = -8

Add '4i' to each side of the equation.
4I + -4i + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + 4i + x³ = -8 + 4i

Reorder the terms:
4I + -4i + 4i + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + x³ = -8 + 4i

Combine like terms: -4i + 4i = 0
4I + 0 + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + x³ = -8 + 4i
4I + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + x³ = -8 + 4i

Add '-1ix²' to each side of the equation.
4I + -2iI + -1ixI + ix² + -4x + -2x² + -1x²I + -1ix² + x³ = -8 + 4i + -1ix²

Reorder the terms:
4I + -2iI + -1ixI + ix² + -1ix² + -4x + -2x² + -1x²I + x³ = -8 + 4i + -1ix²

Combine like terms: ix² + -1ix² = 0
4I + -2iI + -1ixI + 0 + -4x + -2x² + -1x²I + x³ = -8 + 4i + -1ix²
4I + -2iI + -1ixI + -4x + -2x² + -1x²I + x³ = -8 + 4i + -1ix²

Add '4x' to each side of the equation.
4I + -2iI + -1ixI + -4x + -2x² + -1x²I + 4x + x³ = -8 + 4i + -1ix² + 4x

Reorder the terms:
4I + -2iI + -1ixI + -4x + 4x + -2x² + -1x²I + x³ = -8 + 4i + -1ix² + 4x

Combine like terms: -4x + 4x = 0
4I + -2iI + -1ixI + 0 + -2x² + -1x²I + x³ = -8 + 4i + -1ix² + 4x
4I + -2iI + -1ixI + -2x² + -1x²I + x³ = -8 + 4i + -1ix² + 4x

Add '2x²' to each side of the equation.
4I + -2iI + -1ixI + -2x² + -1x²I + 2x² + x³ = -8 + 4i + -1ix² + 4x + 2x²

Reorder the terms:
4I + -2iI + -1ixI + -2x² + 2x² + -1x²I + x³ = -8 + 4i + -1ix² + 4x + 2x²

Combine like terms: -2x² + 2x² = 0
4I + -2iI + -1ixI + 0 + -1x²I + x³ = -8 + 4i + -1ix² + 4x + 2x²
4I + -2iI + -1ixI + -1x²I + x³ = -8 + 4i + -1ix² + 4x + 2x²

Add '-1x³' to each side of the equation.
4I + -2iI + -1ixI + -1x²I + x³ + -1x³ = -8 + 4i + -1ix² + 4x + 2x² + -1x³

Combine like terms: x³ + -1x³ = 0
4I + -2iI + -1ixI + -1x²I + 0 = -8 + 4i + -1ix² + 4x + 2x² + -1x³
4I + -2iI + -1ixI + -1x²I = -8 + 4i + -1ix² + 4x + 2x² + -1x³

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

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

Subproblem 1

Subproblem 2

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