(x+4)(x-4)(x-(1-i))(x-(1+i))=0

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Solution for (x+4)(x-4)(x-(1-i))(x-(1+i))=0 equation:

Simplifying
(x + 4)(x + -4)(x + -1(1 + -1i))(x + -1(1 + i)) = 0

Reorder the terms:
(4 + x)(x + -4)(x + -1(1 + -1i))(x + -1(1 + i)) = 0

Reorder the terms:
(4 + x)(-4 + x)(x + -1(1 + -1i))(x + -1(1 + i)) = 0
(4 + x)(-4 + x)(x + (1 * -1 + -1i * -1))(x + -1(1 + i)) = 0
(4 + x)(-4 + x)(x + (-1 + 1i))(x + -1(1 + i)) = 0

Reorder the terms:
(4 + x)(-4 + x)(-1 + 1i + x)(x + -1(1 + i)) = 0
(4 + x)(-4 + x)(-1 + 1i + x)(x + (1 * -1 + i * -1)) = 0
(4 + x)(-4 + x)(-1 + 1i + x)(x + (-1 + -1i)) = 0

Reorder the terms:
(4 + x)(-4 + x)(-1 + 1i + x)(-1 + -1i + x) = 0

Multiply (4 + x) * (-4 + x)
(4(-4 + x) + x(-4 + x))(-1 + 1i + x)(-1 + -1i + x) = 0
((-4 * 4 + x * 4) + x(-4 + x))(-1 + 1i + x)(-1 + -1i + x) = 0
((-16 + 4x) + x(-4 + x))(-1 + 1i + x)(-1 + -1i + x) = 0
(-16 + 4x + (-4 * x + x * x))(-1 + 1i + x)(-1 + -1i + x) = 0
(-16 + 4x + (-4x + x²))(-1 + 1i + x)(-1 + -1i + x) = 0

Combine like terms: 4x + -4x = 0
(-16 + 0 + x²)(-1 + 1i + x)(-1 + -1i + x) = 0
(-16 + x²)(-1 + 1i + x)(-1 + -1i + x) = 0

Multiply (-16 + x²) * (-1 + 1i + x)
(-16(-1 + 1i + x) + x²(-1 + 1i + x))(-1 + -1i + x) = 0
((-1 * -16 + 1i * -16 + x * -16) + x²(-1 + 1i + x))(-1 + -1i + x) = 0
((16 + -16i + -16x) + x²(-1 + 1i + x))(-1 + -1i + x) = 0
(16 + -16i + -16x + (-1 * x² + 1i * x² + x * x²))(-1 + -1i + x) = 0

Reorder the terms:
(16 + -16i + -16x + (1ix² + -1x² + x³))(-1 + -1i + x) = 0
(16 + -16i + -16x + (1ix² + -1x² + x³))(-1 + -1i + x) = 0

Reorder the terms:
(16 + -16i + 1ix² + -16x + -1x² + x³)(-1 + -1i + x) = 0
(16 + -16i + 1ix² + -16x + -1x² + x³)(-1 + -1i + x) = 0

Multiply (16 + -16i + 1ix² + -16x + -1x² + x³) * (-1 + -1i + x)
(16(-1 + -1i + x) + -16i * (-1 + -1i + x) + 1ix² * (-1 + -1i + x) + -16x * (-1 + -1i + x) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0
((-1 * 16 + -1i * 16 + x * 16) + -16i * (-1 + -1i + x) + 1ix² * (-1 + -1i + x) + -16x * (-1 + -1i + x) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0
((-16 + -16i + 16x) + -16i * (-1 + -1i + x) + 1ix² * (-1 + -1i + x) + -16x * (-1 + -1i + x) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0
(-16 + -16i + 16x + (-1 * -16i + -1i * -16i + x * -16i) + 1ix² * (-1 + -1i + x) + -16x * (-1 + -1i + x) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0

Reorder the terms:
(-16 + -16i + 16x + (16i + -16ix + 16i²) + 1ix² * (-1 + -1i + x) + -16x * (-1 + -1i + x) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0
(-16 + -16i + 16x + (16i + -16ix + 16i²) + 1ix² * (-1 + -1i + x) + -16x * (-1 + -1i + x) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0
(-16 + -16i + 16x + 16i + -16ix + 16i² + (-1 * 1ix² + -1i * 1ix² + x * 1ix²) + -16x * (-1 + -1i + x) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0

Reorder the terms:
(-16 + -16i + 16x + 16i + -16ix + 16i² + (-1ix² + 1ix³ + -1i²x²) + -16x * (-1 + -1i + x) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0
(-16 + -16i + 16x + 16i + -16ix + 16i² + (-1ix² + 1ix³ + -1i²x²) + -16x * (-1 + -1i + x) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0
(-16 + -16i + 16x + 16i + -16ix + 16i² + -1ix² + 1ix³ + -1i²x² + (-1 * -16x + -1i * -16x + x * -16x) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0

Reorder the terms:
(-16 + -16i + 16x + 16i + -16ix + 16i² + -1ix² + 1ix³ + -1i²x² + (16ix + 16x + -16x²) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0
(-16 + -16i + 16x + 16i + -16ix + 16i² + -1ix² + 1ix³ + -1i²x² + (16ix + 16x + -16x²) + -1x² * (-1 + -1i + x) + x³(-1 + -1i + x)) = 0
(-16 + -16i + 16x + 16i + -16ix + 16i² + -1ix² + 1ix³ + -1i²x² + 16ix + 16x + -16x² + (-1 * -1x² + -1i * -1x² + x * -1x²) + x³(-1 + -1i + x)) = 0

Reorder the terms:
(-16 + -16i + 16x + 16i + -16ix + 16i² + -1ix² + 1ix³ + -1i²x² + 16ix + 16x + -16x² + (1ix² + 1x² + -1x³) + x³(-1 + -1i + x)) = 0
(-16 + -16i + 16x + 16i + -16ix + 16i² + -1ix² + 1ix³ + -1i²x² + 16ix + 16x + -16x² + (1ix² + 1x² + -1x³) + x³(-1 + -1i + x)) = 0
(-16 + -16i + 16x + 16i + -16ix + 16i² + -1ix² + 1ix³ + -1i²x² + 16ix + 16x + -16x² + 1ix² + 1x² + -1x³ + (-1 * x³ + -1i * x³ + x * x³)) = 0

Reorder the terms:
(-16 + -16i + 16x + 16i + -16ix + 16i² + -1ix² + 1ix³ + -1i²x² + 16ix + 16x + -16x² + 1ix² + 1x² + -1x³ + (-1ix³ + -1x³ + x⁴)) = 0
(-16 + -16i + 16x + 16i + -16ix + 16i² + -1ix² + 1ix³ + -1i²x² + 16ix + 16x + -16x² + 1ix² + 1x² + -1x³ + (-1ix³ + -1x³ + x⁴)) = 0

Reorder the terms:
(-16 + -16i + 16i + -16ix + 16ix + -1ix² + 1ix² + 1ix³ + -1ix³ + 16i² + -1i²x² + 16x + 16x + -16x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: -16i + 16i = 0
(-16 + 0 + -16ix + 16ix + -1ix² + 1ix² + 1ix³ + -1ix³ + 16i² + -1i²x² + 16x + 16x + -16x² + 1x² + -1x³ + -1x³ + x⁴) = 0
(-16 + -16ix + 16ix + -1ix² + 1ix² + 1ix³ + -1ix³ + 16i² + -1i²x² + 16x + 16x + -16x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: -16ix + 16ix = 0
(-16 + 0 + -1ix² + 1ix² + 1ix³ + -1ix³ + 16i² + -1i²x² + 16x + 16x + -16x² + 1x² + -1x³ + -1x³ + x⁴) = 0
(-16 + -1ix² + 1ix² + 1ix³ + -1ix³ + 16i² + -1i²x² + 16x + 16x + -16x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: -1ix² + 1ix² = 0
(-16 + 0 + 1ix³ + -1ix³ + 16i² + -1i²x² + 16x + 16x + -16x² + 1x² + -1x³ + -1x³ + x⁴) = 0
(-16 + 1ix³ + -1ix³ + 16i² + -1i²x² + 16x + 16x + -16x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: 1ix³ + -1ix³ = 0
(-16 + 0 + 16i² + -1i²x² + 16x + 16x + -16x² + 1x² + -1x³ + -1x³ + x⁴) = 0
(-16 + 16i² + -1i²x² + 16x + 16x + -16x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: 16x + 16x = 32x
(-16 + 16i² + -1i²x² + 32x + -16x² + 1x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: -16x² + 1x² = -15x²
(-16 + 16i² + -1i²x² + 32x + -15x² + -1x³ + -1x³ + x⁴) = 0

Combine like terms: -1x³ + -1x³ = -2x³
(-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴) = 0

Solving
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '16' to each side of the equation.
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + 16 + x⁴ = 0 + 16

Reorder the terms:
-16 + 16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 0 + 16
16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 0 + 16

Combine like terms: 0 + 16 = 16
16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 16

Add '-32x' to each side of the equation.
16i² + -1i²x² + 32x + -15x² + -2x³ + -32x + x⁴ = 16 + -32x

Reorder the terms:
16i² + -1i²x² + 32x + -32x + -15x² + -2x³ + x⁴ = 16 + -32x

Combine like terms: 32x + -32x = 0
16i² + -1i²x² + 0 + -15x² + -2x³ + x⁴ = 16 + -32x
16i² + -1i²x² + -15x² + -2x³ + x⁴ = 16 + -32x

Add '15x²' to each side of the equation.
16i² + -1i²x² + -15x² + -2x³ + 15x² + x⁴ = 16 + -32x + 15x²

Reorder the terms:
16i² + -1i²x² + -15x² + 15x² + -2x³ + x⁴ = 16 + -32x + 15x²

Combine like terms: -15x² + 15x² = 0
16i² + -1i²x² + 0 + -2x³ + x⁴ = 16 + -32x + 15x²
16i² + -1i²x² + -2x³ + x⁴ = 16 + -32x + 15x²

Add '2x³' to each side of the equation.
16i² + -1i²x² + -2x³ + 2x³ + x⁴ = 16 + -32x + 15x² + 2x³

Combine like terms: -2x³ + 2x³ = 0
16i² + -1i²x² + 0 + x⁴ = 16 + -32x + 15x² + 2x³
16i² + -1i²x² + x⁴ = 16 + -32x + 15x² + 2x³

Add '-1x⁴' to each side of the equation.
16i² + -1i²x² + x⁴ + -1x⁴ = 16 + -32x + 15x² + 2x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
16i² + -1i²x² + 0 = 16 + -32x + 15x² + 2x³ + -1x⁴
16i² + -1i²x² = 16 + -32x + 15x² + 2x³ + -1x⁴

Reorder the terms:
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 16 + -32x + 15x² + 2x³ + -1x⁴ + -16 + 32x + -15x² + -2x³ + x⁴

Reorder the terms:
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 16 + -16 + -32x + 32x + 15x² + -15x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 16 + -16 = 0
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 0 + -32x + 32x + 15x² + -15x² + 2x³ + -2x³ + -1x⁴ + x⁴
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = -32x + 32x + 15x² + -15x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: -32x + 32x = 0
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 0 + 15x² + -15x² + 2x³ + -2x³ + -1x⁴ + x⁴
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 15x² + -15x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 15x² + -15x² = 0
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 0 + 2x³ + -2x³ + -1x⁴ + x⁴
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 2x³ + -2x³ = 0
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 0 + -1x⁴ + x⁴
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-16 + 16i² + -1i²x² + 32x + -15x² + -2x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x+4)(x-4)(x-(1-i))(x-(1+i))=0

Simple and best practice solution for (x+4)(x-4)(x-(1-i))(x-(1+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+4)(x-4)(x-(1-i))(x-(1+i))=0 equation:

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