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

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

Simplifying
(x + -3)(x + 1)(x + -4 + -2i)(x + -4 + 2i) = 0

Reorder the terms:
(-3 + x)(x + 1)(x + -4 + -2i)(x + -4 + 2i) = 0

Reorder the terms:
(-3 + x)(1 + x)(x + -4 + -2i)(x + -4 + 2i) = 0

Reorder the terms:
(-3 + x)(1 + x)(-4 + -2i + x)(x + -4 + 2i) = 0

Reorder the terms:
(-3 + x)(1 + x)(-4 + -2i + x)(-4 + 2i + x) = 0

Multiply (-3 + x) * (1 + x)
(-3(1 + x) + x(1 + x))(-4 + -2i + x)(-4 + 2i + x) = 0
((1 * -3 + x * -3) + x(1 + x))(-4 + -2i + x)(-4 + 2i + x) = 0
((-3 + -3x) + x(1 + x))(-4 + -2i + x)(-4 + 2i + x) = 0
(-3 + -3x + (1 * x + x * x))(-4 + -2i + x)(-4 + 2i + x) = 0
(-3 + -3x + (1x + x²))(-4 + -2i + x)(-4 + 2i + x) = 0

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

Multiply (-3 + -2x + x²) * (-4 + -2i + x)
(-3(-4 + -2i + x) + -2x * (-4 + -2i + x) + x²(-4 + -2i + x))(-4 + 2i + x) = 0
((-4 * -3 + -2i * -3 + x * -3) + -2x * (-4 + -2i + x) + x²(-4 + -2i + x))(-4 + 2i + x) = 0
((12 + 6i + -3x) + -2x * (-4 + -2i + x) + x²(-4 + -2i + x))(-4 + 2i + x) = 0
(12 + 6i + -3x + (-4 * -2x + -2i * -2x + x * -2x) + x²(-4 + -2i + x))(-4 + 2i + x) = 0

Reorder the terms:
(12 + 6i + -3x + (4ix + 8x + -2x²) + x²(-4 + -2i + x))(-4 + 2i + x) = 0
(12 + 6i + -3x + (4ix + 8x + -2x²) + x²(-4 + -2i + x))(-4 + 2i + x) = 0
(12 + 6i + -3x + 4ix + 8x + -2x² + (-4 * x² + -2i * x² + x * x²))(-4 + 2i + x) = 0

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

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

Combine like terms: -3x + 8x = 5x
(12 + 6i + 4ix + -2ix² + 5x + -2x² + -4x² + x³)(-4 + 2i + x) = 0

Combine like terms: -2x² + -4x² = -6x²
(12 + 6i + 4ix + -2ix² + 5x + -6x² + x³)(-4 + 2i + x) = 0

Multiply (12 + 6i + 4ix + -2ix² + 5x + -6x² + x³) * (-4 + 2i + x)
(12(-4 + 2i + x) + 6i * (-4 + 2i + x) + 4ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
((-4 * 12 + 2i * 12 + x * 12) + 6i * (-4 + 2i + x) + 4ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
((-48 + 24i + 12x) + 6i * (-4 + 2i + x) + 4ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + (-4 * 6i + 2i * 6i + x * 6i) + 4ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0

Reorder the terms:
(-48 + 24i + 12x + (-24i + 6ix + 12i²) + 4ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + (-24i + 6ix + 12i²) + 4ix * (-4 + 2i + x) + -2ix² * (-4 + 2i + x) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + -24i + 6ix + 12i² + (-4 * 4ix + 2i * 4ix + x * 4ix) + -2ix² * (-4 + 2i + x) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0

Reorder the terms:
(-48 + 24i + 12x + -24i + 6ix + 12i² + (-16ix + 4ix² + 8i²x) + -2ix² * (-4 + 2i + x) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + -24i + 6ix + 12i² + (-16ix + 4ix² + 8i²x) + -2ix² * (-4 + 2i + x) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + (-4 * -2ix² + 2i * -2ix² + x * -2ix²) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0

Reorder the terms:
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + (8ix² + -2ix³ + -4i²x²) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + (8ix² + -2ix³ + -4i²x²) + 5x * (-4 + 2i + x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + 8ix² + -2ix³ + -4i²x² + (-4 * 5x + 2i * 5x + x * 5x) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0

Reorder the terms:
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + 8ix² + -2ix³ + -4i²x² + (10ix + -20x + 5x²) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + 8ix² + -2ix³ + -4i²x² + (10ix + -20x + 5x²) + -6x² * (-4 + 2i + x) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + 8ix² + -2ix³ + -4i²x² + 10ix + -20x + 5x² + (-4 * -6x² + 2i * -6x² + x * -6x²) + x³(-4 + 2i + x)) = 0

Reorder the terms:
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + 8ix² + -2ix³ + -4i²x² + 10ix + -20x + 5x² + (-12ix² + 24x² + -6x³) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + 8ix² + -2ix³ + -4i²x² + 10ix + -20x + 5x² + (-12ix² + 24x² + -6x³) + x³(-4 + 2i + x)) = 0
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + 8ix² + -2ix³ + -4i²x² + 10ix + -20x + 5x² + -12ix² + 24x² + -6x³ + (-4 * x³ + 2i * x³ + x * x³)) = 0

Reorder the terms:
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + 8ix² + -2ix³ + -4i²x² + 10ix + -20x + 5x² + -12ix² + 24x² + -6x³ + (2ix³ + -4x³ + x⁴)) = 0
(-48 + 24i + 12x + -24i + 6ix + 12i² + -16ix + 4ix² + 8i²x + 8ix² + -2ix³ + -4i²x² + 10ix + -20x + 5x² + -12ix² + 24x² + -6x³ + (2ix³ + -4x³ + x⁴)) = 0

Reorder the terms:
(-48 + 24i + -24i + 6ix + -16ix + 10ix + 4ix² + 8ix² + -12ix² + -2ix³ + 2ix³ + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 24i + -24i = 0
(-48 + 0 + 6ix + -16ix + 10ix + 4ix² + 8ix² + -12ix² + -2ix³ + 2ix³ + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0
(-48 + 6ix + -16ix + 10ix + 4ix² + 8ix² + -12ix² + -2ix³ + 2ix³ + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 6ix + -16ix = -10ix
(-48 + -10ix + 10ix + 4ix² + 8ix² + -12ix² + -2ix³ + 2ix³ + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: -10ix + 10ix = 0
(-48 + 0 + 4ix² + 8ix² + -12ix² + -2ix³ + 2ix³ + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0
(-48 + 4ix² + 8ix² + -12ix² + -2ix³ + 2ix³ + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 4ix² + 8ix² = 12ix²
(-48 + 12ix² + -12ix² + -2ix³ + 2ix³ + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 12ix² + -12ix² = 0
(-48 + 0 + -2ix³ + 2ix³ + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0
(-48 + -2ix³ + 2ix³ + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: -2ix³ + 2ix³ = 0
(-48 + 0 + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0
(-48 + 12i² + 8i²x + -4i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 12x + -20x = -8x
(-48 + 12i² + 8i²x + -4i²x² + -8x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 5x² + 24x² = 29x²
(-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: -6x³ + -4x³ = -10x³
(-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴) = 0

Solving
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '48' to each side of the equation.
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + 48 + x⁴ = 0 + 48

Reorder the terms:
-48 + 48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + 48
12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + 48

Combine like terms: 0 + 48 = 48
12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 48

Add '8x' to each side of the equation.
12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + 8x + x⁴ = 48 + 8x

Reorder the terms:
12i² + 8i²x + -4i²x² + -8x + 8x + 29x² + -10x³ + x⁴ = 48 + 8x

Combine like terms: -8x + 8x = 0
12i² + 8i²x + -4i²x² + 0 + 29x² + -10x³ + x⁴ = 48 + 8x
12i² + 8i²x + -4i²x² + 29x² + -10x³ + x⁴ = 48 + 8x

Add '-29x²' to each side of the equation.
12i² + 8i²x + -4i²x² + 29x² + -10x³ + -29x² + x⁴ = 48 + 8x + -29x²

Reorder the terms:
12i² + 8i²x + -4i²x² + 29x² + -29x² + -10x³ + x⁴ = 48 + 8x + -29x²

Combine like terms: 29x² + -29x² = 0
12i² + 8i²x + -4i²x² + 0 + -10x³ + x⁴ = 48 + 8x + -29x²
12i² + 8i²x + -4i²x² + -10x³ + x⁴ = 48 + 8x + -29x²

Add '10x³' to each side of the equation.
12i² + 8i²x + -4i²x² + -10x³ + 10x³ + x⁴ = 48 + 8x + -29x² + 10x³

Combine like terms: -10x³ + 10x³ = 0
12i² + 8i²x + -4i²x² + 0 + x⁴ = 48 + 8x + -29x² + 10x³
12i² + 8i²x + -4i²x² + x⁴ = 48 + 8x + -29x² + 10x³

Add '-1x⁴' to each side of the equation.
12i² + 8i²x + -4i²x² + x⁴ + -1x⁴ = 48 + 8x + -29x² + 10x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
12i² + 8i²x + -4i²x² + 0 = 48 + 8x + -29x² + 10x³ + -1x⁴
12i² + 8i²x + -4i²x² = 48 + 8x + -29x² + 10x³ + -1x⁴

Reorder the terms:
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 48 + 8x + -29x² + 10x³ + -1x⁴ + -48 + -8x + 29x² + -10x³ + x⁴

Reorder the terms:
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 48 + -48 + 8x + -8x + -29x² + 29x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 48 + -48 = 0
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + 8x + -8x + -29x² + 29x² + 10x³ + -10x³ + -1x⁴ + x⁴
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 8x + -8x + -29x² + 29x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 8x + -8x = 0
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + -29x² + 29x² + 10x³ + -10x³ + -1x⁴ + x⁴
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = -29x² + 29x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: -29x² + 29x² = 0
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + 10x³ + -10x³ + -1x⁴ + x⁴
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 10x³ + -10x³ = 0
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + -1x⁴ + x⁴
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-48 + 12i² + 8i²x + -4i²x² + -8x + 29x² + -10x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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