(x-2)(x-2)(x-4-2i)(x-4+2i)=0

Simple and best practice solution for (x-2)(x-2)(x-4-2i)(x-4+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.

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Solution for (x-2)(x-2)(x-4-2i)(x-4+2i)=0 equation:

Simplifying
(x + -2)(x + -2)(x + -4 + -2i)(x + -4 + 2i) = 0

Reorder the terms:
(-2 + x)(x + -2)(x + -4 + -2i)(x + -4 + 2i) = 0

Reorder the terms:
(-2 + x)(-2 + x)(x + -4 + -2i)(x + -4 + 2i) = 0

Reorder the terms:
(-2 + x)(-2 + x)(-4 + -2i + x)(x + -4 + 2i) = 0

Reorder the terms:
(-2 + x)(-2 + x)(-4 + -2i + x)(-4 + 2i + x) = 0

Multiply (-2 + x) * (-2 + x)
(-2(-2 + x) + x(-2 + x))(-4 + -2i + x)(-4 + 2i + x) = 0
((-2 * -2 + x * -2) + x(-2 + x))(-4 + -2i + x)(-4 + 2i + x) = 0
((4 + -2x) + x(-2 + x))(-4 + -2i + x)(-4 + 2i + x) = 0
(4 + -2x + (-2 * x + x * x))(-4 + -2i + x)(-4 + 2i + x) = 0
(4 + -2x + (-2x + x²))(-4 + -2i + x)(-4 + 2i + x) = 0

Combine like terms: -2x + -2x = -4x
(4 + -4x + x²)(-4 + -2i + x)(-4 + 2i + x) = 0

Multiply (4 + -4x + x²) * (-4 + -2i + x)
(4(-4 + -2i + x) + -4x * (-4 + -2i + x) + x²(-4 + -2i + x))(-4 + 2i + x) = 0
((-4 * 4 + -2i * 4 + x * 4) + -4x * (-4 + -2i + x) + x²(-4 + -2i + x))(-4 + 2i + x) = 0
((-16 + -8i + 4x) + -4x * (-4 + -2i + x) + x²(-4 + -2i + x))(-4 + 2i + x) = 0
(-16 + -8i + 4x + (-4 * -4x + -2i * -4x + x * -4x) + x²(-4 + -2i + x))(-4 + 2i + x) = 0

Reorder the terms:
(-16 + -8i + 4x + (8ix + 16x + -4x²) + x²(-4 + -2i + x))(-4 + 2i + x) = 0
(-16 + -8i + 4x + (8ix + 16x + -4x²) + x²(-4 + -2i + x))(-4 + 2i + x) = 0
(-16 + -8i + 4x + 8ix + 16x + -4x² + (-4 * x² + -2i * x² + x * x²))(-4 + 2i + x) = 0

Reorder the terms:
(-16 + -8i + 4x + 8ix + 16x + -4x² + (-2ix² + -4x² + x³))(-4 + 2i + x) = 0
(-16 + -8i + 4x + 8ix + 16x + -4x² + (-2ix² + -4x² + x³))(-4 + 2i + x) = 0

Reorder the terms:
(-16 + -8i + 8ix + -2ix² + 4x + 16x + -4x² + -4x² + x³)(-4 + 2i + x) = 0

Combine like terms: 4x + 16x = 20x
(-16 + -8i + 8ix + -2ix² + 20x + -4x² + -4x² + x³)(-4 + 2i + x) = 0

Combine like terms: -4x² + -4x² = -8x²
(-16 + -8i + 8ix + -2ix² + 20x + -8x² + x³)(-4 + 2i + x) = 0

Multiply (-16 + -8i + 8ix + -2ix² + 20x + -8x² + x³) * (-4 + 2i + x)
(-16(-4 + 2i + x) + -8i * (-4 + 2i + x) + 8ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
((-4 * -16 + 2i * -16 + x * -16) + -8i * (-4 + 2i + x) + 8ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
((64 + -32i + -16x) + -8i * (-4 + 2i + x) + 8ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + (-4 * -8i + 2i * -8i + x * -8i) + 8ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0

Reorder the terms:
(64 + -32i + -16x + (32i + -8ix + -16i²) + 8ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + (32i + -8ix + -16i²) + 8ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + 32i + -8ix + -16i² + (-4 * 8ix + 2i * 8ix + x * 8ix) + -2ix² * (-4 + 2i + x) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0

Reorder the terms:
(64 + -32i + -16x + 32i + -8ix + -16i² + (-32ix + 8ix² + 16i²x) + -2ix² * (-4 + 2i + x) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + 32i + -8ix + -16i² + (-32ix + 8ix² + 16i²x) + -2ix² * (-4 + 2i + x) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + (-4 * -2ix² + 2i * -2ix² + x * -2ix²) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0

Reorder the terms:
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + (8ix² + -2ix³ + -4i²x²) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + (8ix² + -2ix³ + -4i²x²) + 20x * (-4 + 2i + x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + 8ix² + -2ix³ + -4i²x² + (-4 * 20x + 2i * 20x + x * 20x) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0

Reorder the terms:
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + 8ix² + -2ix³ + -4i²x² + (40ix + -80x + 20x²) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + 8ix² + -2ix³ + -4i²x² + (40ix + -80x + 20x²) + -8x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + 8ix² + -2ix³ + -4i²x² + 40ix + -80x + 20x² + (-4 * -8x² + 2i * -8x² + x * -8x²) + x³(-4 + 2i + x)) = 0

Reorder the terms:
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + 8ix² + -2ix³ + -4i²x² + 40ix + -80x + 20x² + (-16ix² + 32x² + -8x³) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + 8ix² + -2ix³ + -4i²x² + 40ix + -80x + 20x² + (-16ix² + 32x² + -8x³) + x³(-4 + 2i + x)) = 0
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + 8ix² + -2ix³ + -4i²x² + 40ix + -80x + 20x² + -16ix² + 32x² + -8x³ + (-4 * x³ + 2i * x³ + x * x³)) = 0

Reorder the terms:
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + 8ix² + -2ix³ + -4i²x² + 40ix + -80x + 20x² + -16ix² + 32x² + -8x³ + (2ix³ + -4x³ + x⁴)) = 0
(64 + -32i + -16x + 32i + -8ix + -16i² + -32ix + 8ix² + 16i²x + 8ix² + -2ix³ + -4i²x² + 40ix + -80x + 20x² + -16ix² + 32x² + -8x³ + (2ix³ + -4x³ + x⁴)) = 0

Reorder the terms:
(64 + -32i + 32i + -8ix + -32ix + 40ix + 8ix² + 8ix² + -16ix² + -2ix³ + 2ix³ + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -32i + 32i = 0
(64 + 0 + -8ix + -32ix + 40ix + 8ix² + 8ix² + -16ix² + -2ix³ + 2ix³ + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(64 + -8ix + -32ix + 40ix + 8ix² + 8ix² + -16ix² + -2ix³ + 2ix³ + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -8ix + -32ix = -40ix
(64 + -40ix + 40ix + 8ix² + 8ix² + -16ix² + -2ix³ + 2ix³ + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -40ix + 40ix = 0
(64 + 0 + 8ix² + 8ix² + -16ix² + -2ix³ + 2ix³ + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(64 + 8ix² + 8ix² + -16ix² + -2ix³ + 2ix³ + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 8ix² + 8ix² = 16ix²
(64 + 16ix² + -16ix² + -2ix³ + 2ix³ + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 16ix² + -16ix² = 0
(64 + 0 + -2ix³ + 2ix³ + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(64 + -2ix³ + 2ix³ + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -2ix³ + 2ix³ = 0
(64 + 0 + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(64 + -16i² + 16i²x + -4i²x² + -16x + -80x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -16x + -80x = -96x
(64 + -16i² + 16i²x + -4i²x² + -96x + 20x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 20x² + 32x² = 52x²
(64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -8x³ + -4x³ = -12x³
(64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴) = 0

Solving
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-64' to each side of the equation.
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + -64 + x⁴ = 0 + -64

Reorder the terms:
64 + -64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 0 + -64
-16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 0 + -64

Combine like terms: 0 + -64 = -64
-16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = -64

Add '96x' to each side of the equation.
-16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + 96x + x⁴ = -64 + 96x

Reorder the terms:
-16i² + 16i²x + -4i²x² + -96x + 96x + 52x² + -12x³ + x⁴ = -64 + 96x

Combine like terms: -96x + 96x = 0
-16i² + 16i²x + -4i²x² + 0 + 52x² + -12x³ + x⁴ = -64 + 96x
-16i² + 16i²x + -4i²x² + 52x² + -12x³ + x⁴ = -64 + 96x

Add '-52x²' to each side of the equation.
-16i² + 16i²x + -4i²x² + 52x² + -12x³ + -52x² + x⁴ = -64 + 96x + -52x²

Reorder the terms:
-16i² + 16i²x + -4i²x² + 52x² + -52x² + -12x³ + x⁴ = -64 + 96x + -52x²

Combine like terms: 52x² + -52x² = 0
-16i² + 16i²x + -4i²x² + 0 + -12x³ + x⁴ = -64 + 96x + -52x²
-16i² + 16i²x + -4i²x² + -12x³ + x⁴ = -64 + 96x + -52x²

Add '12x³' to each side of the equation.
-16i² + 16i²x + -4i²x² + -12x³ + 12x³ + x⁴ = -64 + 96x + -52x² + 12x³

Combine like terms: -12x³ + 12x³ = 0
-16i² + 16i²x + -4i²x² + 0 + x⁴ = -64 + 96x + -52x² + 12x³
-16i² + 16i²x + -4i²x² + x⁴ = -64 + 96x + -52x² + 12x³

Add '-1x⁴' to each side of the equation.
-16i² + 16i²x + -4i²x² + x⁴ + -1x⁴ = -64 + 96x + -52x² + 12x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-16i² + 16i²x + -4i²x² + 0 = -64 + 96x + -52x² + 12x³ + -1x⁴
-16i² + 16i²x + -4i²x² = -64 + 96x + -52x² + 12x³ + -1x⁴

Reorder the terms:
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = -64 + 96x + -52x² + 12x³ + -1x⁴ + 64 + -96x + 52x² + -12x³ + x⁴

Reorder the terms:
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = -64 + 64 + 96x + -96x + -52x² + 52x² + 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: -64 + 64 = 0
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 0 + 96x + -96x + -52x² + 52x² + 12x³ + -12x³ + -1x⁴ + x⁴
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 96x + -96x + -52x² + 52x² + 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: 96x + -96x = 0
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 0 + -52x² + 52x² + 12x³ + -12x³ + -1x⁴ + x⁴
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = -52x² + 52x² + 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: -52x² + 52x² = 0
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 0 + 12x³ + -12x³ + -1x⁴ + x⁴
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: 12x³ + -12x³ = 0
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 0 + -1x⁴ + x⁴
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
64 + -16i² + 16i²x + -4i²x² + -96x + 52x² + -12x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x-2)(x-2)(x-4-2i)(x-4+2i)=0

Simple and best practice solution for (x-2)(x-2)(x-4-2i)(x-4+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)(x-2)(x-4-2i)(x-4+2i)=0 equation:

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