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

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

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

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

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

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

Remove parenthesis around (-4 + -2i)
(3 + x)(3 + x)(4 + -2i + x)(x + -4 + -2i) = 0

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

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x))(4 + -2i + x)(-4 + -2i + x) = 0
((3 * 3 + x * 3) + x(3 + x))(4 + -2i + x)(-4 + -2i + x) = 0
((9 + 3x) + x(3 + x))(4 + -2i + x)(-4 + -2i + x) = 0
(9 + 3x + (3 * x + x * x))(4 + -2i + x)(-4 + -2i + x) = 0
(9 + 3x + (3x + x²))(4 + -2i + x)(-4 + -2i + x) = 0

Combine like terms: 3x + 3x = 6x
(9 + 6x + x²)(4 + -2i + x)(-4 + -2i + x) = 0

Multiply (9 + 6x + x²) * (4 + -2i + x)
(9(4 + -2i + x) + 6x * (4 + -2i + x) + x²(4 + -2i + x))(-4 + -2i + x) = 0
((4 * 9 + -2i * 9 + x * 9) + 6x * (4 + -2i + x) + x²(4 + -2i + x))(-4 + -2i + x) = 0
((36 + -18i + 9x) + 6x * (4 + -2i + x) + x²(4 + -2i + x))(-4 + -2i + x) = 0
(36 + -18i + 9x + (4 * 6x + -2i * 6x + x * 6x) + x²(4 + -2i + x))(-4 + -2i + x) = 0

Reorder the terms:
(36 + -18i + 9x + (-12ix + 24x + 6x²) + x²(4 + -2i + x))(-4 + -2i + x) = 0
(36 + -18i + 9x + (-12ix + 24x + 6x²) + x²(4 + -2i + x))(-4 + -2i + x) = 0
(36 + -18i + 9x + -12ix + 24x + 6x² + (4 * x² + -2i * x² + x * x²))(-4 + -2i + x) = 0

Reorder the terms:
(36 + -18i + 9x + -12ix + 24x + 6x² + (-2ix² + 4x² + x³))(-4 + -2i + x) = 0
(36 + -18i + 9x + -12ix + 24x + 6x² + (-2ix² + 4x² + x³))(-4 + -2i + x) = 0

Reorder the terms:
(36 + -18i + -12ix + -2ix² + 9x + 24x + 6x² + 4x² + x³)(-4 + -2i + x) = 0

Combine like terms: 9x + 24x = 33x
(36 + -18i + -12ix + -2ix² + 33x + 6x² + 4x² + x³)(-4 + -2i + x) = 0

Combine like terms: 6x² + 4x² = 10x²
(36 + -18i + -12ix + -2ix² + 33x + 10x² + x³)(-4 + -2i + x) = 0

Multiply (36 + -18i + -12ix + -2ix² + 33x + 10x² + x³) * (-4 + -2i + x)
(36(-4 + -2i + x) + -18i * (-4 + -2i + x) + -12ix * (-4 + -2i + x) + -2ix² * (-4 + -2i + x) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
((-4 * 36 + -2i * 36 + x * 36) + -18i * (-4 + -2i + x) + -12ix * (-4 + -2i + x) + -2ix² * (-4 + -2i + x) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
((-144 + -72i + 36x) + -18i * (-4 + -2i + x) + -12ix * (-4 + -2i + x) + -2ix² * (-4 + -2i + x) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + (-4 * -18i + -2i * -18i + x * -18i) + -12ix * (-4 + -2i + x) + -2ix² * (-4 + -2i + x) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0

Reorder the terms:
(-144 + -72i + 36x + (72i + -18ix + 36i²) + -12ix * (-4 + -2i + x) + -2ix² * (-4 + -2i + x) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + (72i + -18ix + 36i²) + -12ix * (-4 + -2i + x) + -2ix² * (-4 + -2i + x) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + 72i + -18ix + 36i² + (-4 * -12ix + -2i * -12ix + x * -12ix) + -2ix² * (-4 + -2i + x) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0

Reorder the terms:
(-144 + -72i + 36x + 72i + -18ix + 36i² + (48ix + -12ix² + 24i²x) + -2ix² * (-4 + -2i + x) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + 72i + -18ix + 36i² + (48ix + -12ix² + 24i²x) + -2ix² * (-4 + -2i + x) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + (-4 * -2ix² + -2i * -2ix² + x * -2ix²) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0

Reorder the terms:
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + (8ix² + -2ix³ + 4i²x²) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + (8ix² + -2ix³ + 4i²x²) + 33x * (-4 + -2i + x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + 8ix² + -2ix³ + 4i²x² + (-4 * 33x + -2i * 33x + x * 33x) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0

Reorder the terms:
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + 8ix² + -2ix³ + 4i²x² + (-66ix + -132x + 33x²) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + 8ix² + -2ix³ + 4i²x² + (-66ix + -132x + 33x²) + 10x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + 8ix² + -2ix³ + 4i²x² + -66ix + -132x + 33x² + (-4 * 10x² + -2i * 10x² + x * 10x²) + x³(-4 + -2i + x)) = 0

Reorder the terms:
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + 8ix² + -2ix³ + 4i²x² + -66ix + -132x + 33x² + (-20ix² + -40x² + 10x³) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + 8ix² + -2ix³ + 4i²x² + -66ix + -132x + 33x² + (-20ix² + -40x² + 10x³) + x³(-4 + -2i + x)) = 0
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + 8ix² + -2ix³ + 4i²x² + -66ix + -132x + 33x² + -20ix² + -40x² + 10x³ + (-4 * x³ + -2i * x³ + x * x³)) = 0

Reorder the terms:
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + 8ix² + -2ix³ + 4i²x² + -66ix + -132x + 33x² + -20ix² + -40x² + 10x³ + (-2ix³ + -4x³ + x⁴)) = 0
(-144 + -72i + 36x + 72i + -18ix + 36i² + 48ix + -12ix² + 24i²x + 8ix² + -2ix³ + 4i²x² + -66ix + -132x + 33x² + -20ix² + -40x² + 10x³ + (-2ix³ + -4x³ + x⁴)) = 0

Reorder the terms:
(-144 + -72i + 72i + -18ix + 48ix + -66ix + -12ix² + 8ix² + -20ix² + -2ix³ + -2ix³ + 36i² + 24i²x + 4i²x² + 36x + -132x + 33x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: -72i + 72i = 0
(-144 + 0 + -18ix + 48ix + -66ix + -12ix² + 8ix² + -20ix² + -2ix³ + -2ix³ + 36i² + 24i²x + 4i²x² + 36x + -132x + 33x² + -40x² + 10x³ + -4x³ + x⁴) = 0
(-144 + -18ix + 48ix + -66ix + -12ix² + 8ix² + -20ix² + -2ix³ + -2ix³ + 36i² + 24i²x + 4i²x² + 36x + -132x + 33x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: -18ix + 48ix = 30ix
(-144 + 30ix + -66ix + -12ix² + 8ix² + -20ix² + -2ix³ + -2ix³ + 36i² + 24i²x + 4i²x² + 36x + -132x + 33x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: 30ix + -66ix = -36ix
(-144 + -36ix + -12ix² + 8ix² + -20ix² + -2ix³ + -2ix³ + 36i² + 24i²x + 4i²x² + 36x + -132x + 33x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: -12ix² + 8ix² = -4ix²
(-144 + -36ix + -4ix² + -20ix² + -2ix³ + -2ix³ + 36i² + 24i²x + 4i²x² + 36x + -132x + 33x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: -4ix² + -20ix² = -24ix²
(-144 + -36ix + -24ix² + -2ix³ + -2ix³ + 36i² + 24i²x + 4i²x² + 36x + -132x + 33x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: -2ix³ + -2ix³ = -4ix³
(-144 + -36ix + -24ix² + -4ix³ + 36i² + 24i²x + 4i²x² + 36x + -132x + 33x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: 36x + -132x = -96x
(-144 + -36ix + -24ix² + -4ix³ + 36i² + 24i²x + 4i²x² + -96x + 33x² + -40x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: 33x² + -40x² = -7x²
(-144 + -36ix + -24ix² + -4ix³ + 36i² + 24i²x + 4i²x² + -96x + -7x² + 10x³ + -4x³ + x⁴) = 0

Combine like terms: 10x³ + -4x³ = 6x³
(-144 + -36ix + -24ix² + -4ix³ + 36i² + 24i²x + 4i²x² + -96x + -7x² + 6x³ + x⁴) = 0

Solving
-144 + -36ix + -24ix² + -4ix³ + 36i² + 24i²x + 4i²x² + -96x + -7x² + 6x³ + x⁴ = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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

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

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