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

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

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

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

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

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

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

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

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

Multiply (-8 + -2x + x²) * (-6 + -2i + x)
(-8(-6 + -2i + x) + -2x * (-6 + -2i + x) + x²(-6 + -2i + x))(-6 + 2i + x) = 0
((-6 * -8 + -2i * -8 + x * -8) + -2x * (-6 + -2i + x) + x²(-6 + -2i + x))(-6 + 2i + x) = 0
((48 + 16i + -8x) + -2x * (-6 + -2i + x) + x²(-6 + -2i + x))(-6 + 2i + x) = 0
(48 + 16i + -8x + (-6 * -2x + -2i * -2x + x * -2x) + x²(-6 + -2i + x))(-6 + 2i + x) = 0

Reorder the terms:
(48 + 16i + -8x + (4ix + 12x + -2x²) + x²(-6 + -2i + x))(-6 + 2i + x) = 0
(48 + 16i + -8x + (4ix + 12x + -2x²) + x²(-6 + -2i + x))(-6 + 2i + x) = 0
(48 + 16i + -8x + 4ix + 12x + -2x² + (-6 * x² + -2i * x² + x * x²))(-6 + 2i + x) = 0

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

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

Combine like terms: -8x + 12x = 4x
(48 + 16i + 4ix + -2ix² + 4x + -2x² + -6x² + x³)(-6 + 2i + x) = 0

Combine like terms: -2x² + -6x² = -8x²
(48 + 16i + 4ix + -2ix² + 4x + -8x² + x³)(-6 + 2i + x) = 0

Multiply (48 + 16i + 4ix + -2ix² + 4x + -8x² + x³) * (-6 + 2i + x)
(48(-6 + 2i + x) + 16i * (-6 + 2i + x) + 4ix * (-6 + 2i + x) + -2ix² * (-6 + 2i + x) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
((-6 * 48 + 2i * 48 + x * 48) + 16i * (-6 + 2i + x) + 4ix * (-6 + 2i + x) + -2ix² * (-6 + 2i + x) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
((-288 + 96i + 48x) + 16i * (-6 + 2i + x) + 4ix * (-6 + 2i + x) + -2ix² * (-6 + 2i + x) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + (-6 * 16i + 2i * 16i + x * 16i) + 4ix * (-6 + 2i + x) + -2ix² * (-6 + 2i + x) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0

Reorder the terms:
(-288 + 96i + 48x + (-96i + 16ix + 32i²) + 4ix * (-6 + 2i + x) + -2ix² * (-6 + 2i + x) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + (-96i + 16ix + 32i²) + 4ix * (-6 + 2i + x) + -2ix² * (-6 + 2i + x) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + -96i + 16ix + 32i² + (-6 * 4ix + 2i * 4ix + x * 4ix) + -2ix² * (-6 + 2i + x) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0

Reorder the terms:
(-288 + 96i + 48x + -96i + 16ix + 32i² + (-24ix + 4ix² + 8i²x) + -2ix² * (-6 + 2i + x) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + -96i + 16ix + 32i² + (-24ix + 4ix² + 8i²x) + -2ix² * (-6 + 2i + x) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + (-6 * -2ix² + 2i * -2ix² + x * -2ix²) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0

Reorder the terms:
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + (12ix² + -2ix³ + -4i²x²) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + (12ix² + -2ix³ + -4i²x²) + 4x * (-6 + 2i + x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + 12ix² + -2ix³ + -4i²x² + (-6 * 4x + 2i * 4x + x * 4x) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0

Reorder the terms:
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + 12ix² + -2ix³ + -4i²x² + (8ix + -24x + 4x²) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + 12ix² + -2ix³ + -4i²x² + (8ix + -24x + 4x²) + -8x² * (-6 + 2i + x) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + 12ix² + -2ix³ + -4i²x² + 8ix + -24x + 4x² + (-6 * -8x² + 2i * -8x² + x * -8x²) + x³(-6 + 2i + x)) = 0

Reorder the terms:
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + 12ix² + -2ix³ + -4i²x² + 8ix + -24x + 4x² + (-16ix² + 48x² + -8x³) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + 12ix² + -2ix³ + -4i²x² + 8ix + -24x + 4x² + (-16ix² + 48x² + -8x³) + x³(-6 + 2i + x)) = 0
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + 12ix² + -2ix³ + -4i²x² + 8ix + -24x + 4x² + -16ix² + 48x² + -8x³ + (-6 * x³ + 2i * x³ + x * x³)) = 0

Reorder the terms:
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + 12ix² + -2ix³ + -4i²x² + 8ix + -24x + 4x² + -16ix² + 48x² + -8x³ + (2ix³ + -6x³ + x⁴)) = 0
(-288 + 96i + 48x + -96i + 16ix + 32i² + -24ix + 4ix² + 8i²x + 12ix² + -2ix³ + -4i²x² + 8ix + -24x + 4x² + -16ix² + 48x² + -8x³ + (2ix³ + -6x³ + x⁴)) = 0

Reorder the terms:
(-288 + 96i + -96i + 16ix + -24ix + 8ix + 4ix² + 12ix² + -16ix² + -2ix³ + 2ix³ + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0

Combine like terms: 96i + -96i = 0
(-288 + 0 + 16ix + -24ix + 8ix + 4ix² + 12ix² + -16ix² + -2ix³ + 2ix³ + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0
(-288 + 16ix + -24ix + 8ix + 4ix² + 12ix² + -16ix² + -2ix³ + 2ix³ + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0

Combine like terms: 16ix + -24ix = -8ix
(-288 + -8ix + 8ix + 4ix² + 12ix² + -16ix² + -2ix³ + 2ix³ + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0

Combine like terms: -8ix + 8ix = 0
(-288 + 0 + 4ix² + 12ix² + -16ix² + -2ix³ + 2ix³ + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0
(-288 + 4ix² + 12ix² + -16ix² + -2ix³ + 2ix³ + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0

Combine like terms: 4ix² + 12ix² = 16ix²
(-288 + 16ix² + -16ix² + -2ix³ + 2ix³ + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0

Combine like terms: 16ix² + -16ix² = 0
(-288 + 0 + -2ix³ + 2ix³ + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0
(-288 + -2ix³ + 2ix³ + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0

Combine like terms: -2ix³ + 2ix³ = 0
(-288 + 0 + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0
(-288 + 32i² + 8i²x + -4i²x² + 48x + -24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0

Combine like terms: 48x + -24x = 24x
(-288 + 32i² + 8i²x + -4i²x² + 24x + 4x² + 48x² + -8x³ + -6x³ + x⁴) = 0

Combine like terms: 4x² + 48x² = 52x²
(-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -8x³ + -6x³ + x⁴) = 0

Combine like terms: -8x³ + -6x³ = -14x³
(-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴) = 0

Solving
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '288' to each side of the equation.
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + 288 + x⁴ = 0 + 288

Reorder the terms:
-288 + 288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 0 + 288

Combine like terms: -288 + 288 = 0
0 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 0 + 288
32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 0 + 288

Combine like terms: 0 + 288 = 288
32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 288

Add '-24x' to each side of the equation.
32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + -24x + x⁴ = 288 + -24x

Reorder the terms:
32i² + 8i²x + -4i²x² + 24x + -24x + 52x² + -14x³ + x⁴ = 288 + -24x

Combine like terms: 24x + -24x = 0
32i² + 8i²x + -4i²x² + 0 + 52x² + -14x³ + x⁴ = 288 + -24x
32i² + 8i²x + -4i²x² + 52x² + -14x³ + x⁴ = 288 + -24x

Add '-52x²' to each side of the equation.
32i² + 8i²x + -4i²x² + 52x² + -14x³ + -52x² + x⁴ = 288 + -24x + -52x²

Reorder the terms:
32i² + 8i²x + -4i²x² + 52x² + -52x² + -14x³ + x⁴ = 288 + -24x + -52x²

Combine like terms: 52x² + -52x² = 0
32i² + 8i²x + -4i²x² + 0 + -14x³ + x⁴ = 288 + -24x + -52x²
32i² + 8i²x + -4i²x² + -14x³ + x⁴ = 288 + -24x + -52x²

Add '14x³' to each side of the equation.
32i² + 8i²x + -4i²x² + -14x³ + 14x³ + x⁴ = 288 + -24x + -52x² + 14x³

Combine like terms: -14x³ + 14x³ = 0
32i² + 8i²x + -4i²x² + 0 + x⁴ = 288 + -24x + -52x² + 14x³
32i² + 8i²x + -4i²x² + x⁴ = 288 + -24x + -52x² + 14x³

Add '-1x⁴' to each side of the equation.
32i² + 8i²x + -4i²x² + x⁴ + -1x⁴ = 288 + -24x + -52x² + 14x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
32i² + 8i²x + -4i²x² + 0 = 288 + -24x + -52x² + 14x³ + -1x⁴
32i² + 8i²x + -4i²x² = 288 + -24x + -52x² + 14x³ + -1x⁴

Reorder the terms:
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 288 + -24x + -52x² + 14x³ + -1x⁴ + -288 + 24x + 52x² + -14x³ + x⁴

Reorder the terms:
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 288 + -288 + -24x + 24x + -52x² + 52x² + 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: 288 + -288 = 0
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 0 + -24x + 24x + -52x² + 52x² + 14x³ + -14x³ + -1x⁴ + x⁴
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = -24x + 24x + -52x² + 52x² + 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: -24x + 24x = 0
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 0 + -52x² + 52x² + 14x³ + -14x³ + -1x⁴ + x⁴
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = -52x² + 52x² + 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: -52x² + 52x² = 0
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 0 + 14x³ + -14x³ + -1x⁴ + x⁴
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 14x³ + -14x³ + -1x⁴ + x⁴

Combine like terms: 14x³ + -14x³ = 0
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 0 + -1x⁴ + x⁴
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-288 + 32i² + 8i²x + -4i²x² + 24x + 52x² + -14x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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