(x+4)(x+2)(x+3-6i)(x-3-6i)=0

Simple and best practice solution for (x+4)(x+2)(x+3-6i)(x-3-6i)=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+4)(x+2)(x+3-6i)(x-3-6i)=0 equation:

Simplifying
(x + 4)(x + 2)(x + 3 + -6i)(x + -3 + -6i) = 0

Reorder the terms:
(4 + x)(x + 2)(x + 3 + -6i)(x + -3 + -6i) = 0

Reorder the terms:
(4 + x)(2 + x)(x + 3 + -6i)(x + -3 + -6i) = 0

Reorder the terms:
(4 + x)(2 + x)(3 + -6i + x)(x + -3 + -6i) = 0

Reorder the terms:
(4 + x)(2 + x)(3 + -6i + x)(-3 + -6i + x) = 0

Multiply (4 + x) * (2 + x)
(4(2 + x) + x(2 + x))(3 + -6i + x)(-3 + -6i + x) = 0
((2 * 4 + x * 4) + x(2 + x))(3 + -6i + x)(-3 + -6i + x) = 0
((8 + 4x) + x(2 + x))(3 + -6i + x)(-3 + -6i + x) = 0
(8 + 4x + (2 * x + x * x))(3 + -6i + x)(-3 + -6i + x) = 0
(8 + 4x + (2x + x²))(3 + -6i + x)(-3 + -6i + x) = 0

Combine like terms: 4x + 2x = 6x
(8 + 6x + x²)(3 + -6i + x)(-3 + -6i + x) = 0

Multiply (8 + 6x + x²) * (3 + -6i + x)
(8(3 + -6i + x) + 6x * (3 + -6i + x) + x²(3 + -6i + x))(-3 + -6i + x) = 0
((3 * 8 + -6i * 8 + x * 8) + 6x * (3 + -6i + x) + x²(3 + -6i + x))(-3 + -6i + x) = 0
((24 + -48i + 8x) + 6x * (3 + -6i + x) + x²(3 + -6i + x))(-3 + -6i + x) = 0
(24 + -48i + 8x + (3 * 6x + -6i * 6x + x * 6x) + x²(3 + -6i + x))(-3 + -6i + x) = 0

Reorder the terms:
(24 + -48i + 8x + (-36ix + 18x + 6x²) + x²(3 + -6i + x))(-3 + -6i + x) = 0
(24 + -48i + 8x + (-36ix + 18x + 6x²) + x²(3 + -6i + x))(-3 + -6i + x) = 0
(24 + -48i + 8x + -36ix + 18x + 6x² + (3 * x² + -6i * x² + x * x²))(-3 + -6i + x) = 0

Reorder the terms:
(24 + -48i + 8x + -36ix + 18x + 6x² + (-6ix² + 3x² + x³))(-3 + -6i + x) = 0
(24 + -48i + 8x + -36ix + 18x + 6x² + (-6ix² + 3x² + x³))(-3 + -6i + x) = 0

Reorder the terms:
(24 + -48i + -36ix + -6ix² + 8x + 18x + 6x² + 3x² + x³)(-3 + -6i + x) = 0

Combine like terms: 8x + 18x = 26x
(24 + -48i + -36ix + -6ix² + 26x + 6x² + 3x² + x³)(-3 + -6i + x) = 0

Combine like terms: 6x² + 3x² = 9x²
(24 + -48i + -36ix + -6ix² + 26x + 9x² + x³)(-3 + -6i + x) = 0

Multiply (24 + -48i + -36ix + -6ix² + 26x + 9x² + x³) * (-3 + -6i + x)
(24(-3 + -6i + x) + -48i * (-3 + -6i + x) + -36ix * (-3 + -6i + x) + -6ix² * (-3 + -6i + x) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
((-3 * 24 + -6i * 24 + x * 24) + -48i * (-3 + -6i + x) + -36ix * (-3 + -6i + x) + -6ix² * (-3 + -6i + x) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
((-72 + -144i + 24x) + -48i * (-3 + -6i + x) + -36ix * (-3 + -6i + x) + -6ix² * (-3 + -6i + x) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + (-3 * -48i + -6i * -48i + x * -48i) + -36ix * (-3 + -6i + x) + -6ix² * (-3 + -6i + x) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0

Reorder the terms:
(-72 + -144i + 24x + (144i + -48ix + 288i²) + -36ix * (-3 + -6i + x) + -6ix² * (-3 + -6i + x) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + (144i + -48ix + 288i²) + -36ix * (-3 + -6i + x) + -6ix² * (-3 + -6i + x) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + 144i + -48ix + 288i² + (-3 * -36ix + -6i * -36ix + x * -36ix) + -6ix² * (-3 + -6i + x) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0

Reorder the terms:
(-72 + -144i + 24x + 144i + -48ix + 288i² + (108ix + -36ix² + 216i²x) + -6ix² * (-3 + -6i + x) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + 144i + -48ix + 288i² + (108ix + -36ix² + 216i²x) + -6ix² * (-3 + -6i + x) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + (-3 * -6ix² + -6i * -6ix² + x * -6ix²) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0

Reorder the terms:
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + (18ix² + -6ix³ + 36i²x²) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + (18ix² + -6ix³ + 36i²x²) + 26x * (-3 + -6i + x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + 18ix² + -6ix³ + 36i²x² + (-3 * 26x + -6i * 26x + x * 26x) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0

Reorder the terms:
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + 18ix² + -6ix³ + 36i²x² + (-156ix + -78x + 26x²) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + 18ix² + -6ix³ + 36i²x² + (-156ix + -78x + 26x²) + 9x² * (-3 + -6i + x) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + 18ix² + -6ix³ + 36i²x² + -156ix + -78x + 26x² + (-3 * 9x² + -6i * 9x² + x * 9x²) + x³(-3 + -6i + x)) = 0

Reorder the terms:
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + 18ix² + -6ix³ + 36i²x² + -156ix + -78x + 26x² + (-54ix² + -27x² + 9x³) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + 18ix² + -6ix³ + 36i²x² + -156ix + -78x + 26x² + (-54ix² + -27x² + 9x³) + x³(-3 + -6i + x)) = 0
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + 18ix² + -6ix³ + 36i²x² + -156ix + -78x + 26x² + -54ix² + -27x² + 9x³ + (-3 * x³ + -6i * x³ + x * x³)) = 0

Reorder the terms:
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + 18ix² + -6ix³ + 36i²x² + -156ix + -78x + 26x² + -54ix² + -27x² + 9x³ + (-6ix³ + -3x³ + x⁴)) = 0
(-72 + -144i + 24x + 144i + -48ix + 288i² + 108ix + -36ix² + 216i²x + 18ix² + -6ix³ + 36i²x² + -156ix + -78x + 26x² + -54ix² + -27x² + 9x³ + (-6ix³ + -3x³ + x⁴)) = 0

Reorder the terms:
(-72 + -144i + 144i + -48ix + 108ix + -156ix + -36ix² + 18ix² + -54ix² + -6ix³ + -6ix³ + 288i² + 216i²x + 36i²x² + 24x + -78x + 26x² + -27x² + 9x³ + -3x³ + x⁴) = 0

Combine like terms: -144i + 144i = 0
(-72 + 0 + -48ix + 108ix + -156ix + -36ix² + 18ix² + -54ix² + -6ix³ + -6ix³ + 288i² + 216i²x + 36i²x² + 24x + -78x + 26x² + -27x² + 9x³ + -3x³ + x⁴) = 0
(-72 + -48ix + 108ix + -156ix + -36ix² + 18ix² + -54ix² + -6ix³ + -6ix³ + 288i² + 216i²x + 36i²x² + 24x + -78x + 26x² + -27x² + 9x³ + -3x³ + x⁴) = 0

Combine like terms: -48ix + 108ix = 60ix
(-72 + 60ix + -156ix + -36ix² + 18ix² + -54ix² + -6ix³ + -6ix³ + 288i² + 216i²x + 36i²x² + 24x + -78x + 26x² + -27x² + 9x³ + -3x³ + x⁴) = 0

Combine like terms: 60ix + -156ix = -96ix
(-72 + -96ix + -36ix² + 18ix² + -54ix² + -6ix³ + -6ix³ + 288i² + 216i²x + 36i²x² + 24x + -78x + 26x² + -27x² + 9x³ + -3x³ + x⁴) = 0

Combine like terms: -36ix² + 18ix² = -18ix²
(-72 + -96ix + -18ix² + -54ix² + -6ix³ + -6ix³ + 288i² + 216i²x + 36i²x² + 24x + -78x + 26x² + -27x² + 9x³ + -3x³ + x⁴) = 0

Combine like terms: -18ix² + -54ix² = -72ix²
(-72 + -96ix + -72ix² + -6ix³ + -6ix³ + 288i² + 216i²x + 36i²x² + 24x + -78x + 26x² + -27x² + 9x³ + -3x³ + x⁴) = 0

Combine like terms: -6ix³ + -6ix³ = -12ix³
(-72 + -96ix + -72ix² + -12ix³ + 288i² + 216i²x + 36i²x² + 24x + -78x + 26x² + -27x² + 9x³ + -3x³ + x⁴) = 0

Combine like terms: 24x + -78x = -54x
(-72 + -96ix + -72ix² + -12ix³ + 288i² + 216i²x + 36i²x² + -54x + 26x² + -27x² + 9x³ + -3x³ + x⁴) = 0

Combine like terms: 26x² + -27x² = -1x²
(-72 + -96ix + -72ix² + -12ix³ + 288i² + 216i²x + 36i²x² + -54x + -1x² + 9x³ + -3x³ + x⁴) = 0

Combine like terms: 9x³ + -3x³ = 6x³
(-72 + -96ix + -72ix² + -12ix³ + 288i² + 216i²x + 36i²x² + -54x + -1x² + 6x³ + x⁴) = 0

Solving
-72 + -96ix + -72ix² + -12ix³ + 288i² + 216i²x + 36i²x² + -54x + -1x² + 6x³ + x⁴ = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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(x+4)(x+2)(x+3-6i)(x-3-6i)=0

Simple and best practice solution for (x+4)(x+2)(x+3-6i)(x-3-6i)=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+2)(x+3-6i)(x-3-6i)=0 equation:

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