(x+1)(x-5)(x-3+2i)(x-3-2i)=0

Simple and best practice solution for (x+1)(x-5)(x-3+2i)(x-3-2i)=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+1)(x-5)(x-3+2i)(x-3-2i)=0 equation:

Simplifying
(x + 1)(x + -5)(x + -3 + 2i)(x + -3 + -2i) = 0

Reorder the terms:
(1 + x)(x + -5)(x + -3 + 2i)(x + -3 + -2i) = 0

Reorder the terms:
(1 + x)(-5 + x)(x + -3 + 2i)(x + -3 + -2i) = 0

Reorder the terms:
(1 + x)(-5 + x)(-3 + 2i + x)(x + -3 + -2i) = 0

Reorder the terms:
(1 + x)(-5 + x)(-3 + 2i + x)(-3 + -2i + x) = 0

Multiply (1 + x) * (-5 + x)
(1(-5 + x) + x(-5 + x))(-3 + 2i + x)(-3 + -2i + x) = 0
((-5 * 1 + x * 1) + x(-5 + x))(-3 + 2i + x)(-3 + -2i + x) = 0
((-5 + 1x) + x(-5 + x))(-3 + 2i + x)(-3 + -2i + x) = 0
(-5 + 1x + (-5 * x + x * x))(-3 + 2i + x)(-3 + -2i + x) = 0
(-5 + 1x + (-5x + x²))(-3 + 2i + x)(-3 + -2i + x) = 0

Combine like terms: 1x + -5x = -4x
(-5 + -4x + x²)(-3 + 2i + x)(-3 + -2i + x) = 0

Multiply (-5 + -4x + x²) * (-3 + 2i + x)
(-5(-3 + 2i + x) + -4x * (-3 + 2i + x) + x²(-3 + 2i + x))(-3 + -2i + x) = 0
((-3 * -5 + 2i * -5 + x * -5) + -4x * (-3 + 2i + x) + x²(-3 + 2i + x))(-3 + -2i + x) = 0
((15 + -10i + -5x) + -4x * (-3 + 2i + x) + x²(-3 + 2i + x))(-3 + -2i + x) = 0
(15 + -10i + -5x + (-3 * -4x + 2i * -4x + x * -4x) + x²(-3 + 2i + x))(-3 + -2i + x) = 0

Reorder the terms:
(15 + -10i + -5x + (-8ix + 12x + -4x²) + x²(-3 + 2i + x))(-3 + -2i + x) = 0
(15 + -10i + -5x + (-8ix + 12x + -4x²) + x²(-3 + 2i + x))(-3 + -2i + x) = 0
(15 + -10i + -5x + -8ix + 12x + -4x² + (-3 * x² + 2i * x² + x * x²))(-3 + -2i + x) = 0

Reorder the terms:
(15 + -10i + -5x + -8ix + 12x + -4x² + (2ix² + -3x² + x³))(-3 + -2i + x) = 0
(15 + -10i + -5x + -8ix + 12x + -4x² + (2ix² + -3x² + x³))(-3 + -2i + x) = 0

Reorder the terms:
(15 + -10i + -8ix + 2ix² + -5x + 12x + -4x² + -3x² + x³)(-3 + -2i + x) = 0

Combine like terms: -5x + 12x = 7x
(15 + -10i + -8ix + 2ix² + 7x + -4x² + -3x² + x³)(-3 + -2i + x) = 0

Combine like terms: -4x² + -3x² = -7x²
(15 + -10i + -8ix + 2ix² + 7x + -7x² + x³)(-3 + -2i + x) = 0

Multiply (15 + -10i + -8ix + 2ix² + 7x + -7x² + x³) * (-3 + -2i + x)
(15(-3 + -2i + x) + -10i * (-3 + -2i + x) + -8ix * (-3 + -2i + x) + 2ix² * (-3 + -2i + x) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
((-3 * 15 + -2i * 15 + x * 15) + -10i * (-3 + -2i + x) + -8ix * (-3 + -2i + x) + 2ix² * (-3 + -2i + x) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
((-45 + -30i + 15x) + -10i * (-3 + -2i + x) + -8ix * (-3 + -2i + x) + 2ix² * (-3 + -2i + x) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + (-3 * -10i + -2i * -10i + x * -10i) + -8ix * (-3 + -2i + x) + 2ix² * (-3 + -2i + x) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0

Reorder the terms:
(-45 + -30i + 15x + (30i + -10ix + 20i²) + -8ix * (-3 + -2i + x) + 2ix² * (-3 + -2i + x) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + (30i + -10ix + 20i²) + -8ix * (-3 + -2i + x) + 2ix² * (-3 + -2i + x) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + 30i + -10ix + 20i² + (-3 * -8ix + -2i * -8ix + x * -8ix) + 2ix² * (-3 + -2i + x) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0

Reorder the terms:
(-45 + -30i + 15x + 30i + -10ix + 20i² + (24ix + -8ix² + 16i²x) + 2ix² * (-3 + -2i + x) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + 30i + -10ix + 20i² + (24ix + -8ix² + 16i²x) + 2ix² * (-3 + -2i + x) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + (-3 * 2ix² + -2i * 2ix² + x * 2ix²) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0

Reorder the terms:
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + (-6ix² + 2ix³ + -4i²x²) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + (-6ix² + 2ix³ + -4i²x²) + 7x * (-3 + -2i + x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + -6ix² + 2ix³ + -4i²x² + (-3 * 7x + -2i * 7x + x * 7x) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0

Reorder the terms:
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + -6ix² + 2ix³ + -4i²x² + (-14ix + -21x + 7x²) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + -6ix² + 2ix³ + -4i²x² + (-14ix + -21x + 7x²) + -7x² * (-3 + -2i + x) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + -6ix² + 2ix³ + -4i²x² + -14ix + -21x + 7x² + (-3 * -7x² + -2i * -7x² + x * -7x²) + x³(-3 + -2i + x)) = 0

Reorder the terms:
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + -6ix² + 2ix³ + -4i²x² + -14ix + -21x + 7x² + (14ix² + 21x² + -7x³) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + -6ix² + 2ix³ + -4i²x² + -14ix + -21x + 7x² + (14ix² + 21x² + -7x³) + x³(-3 + -2i + x)) = 0
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + -6ix² + 2ix³ + -4i²x² + -14ix + -21x + 7x² + 14ix² + 21x² + -7x³ + (-3 * x³ + -2i * x³ + x * x³)) = 0

Reorder the terms:
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + -6ix² + 2ix³ + -4i²x² + -14ix + -21x + 7x² + 14ix² + 21x² + -7x³ + (-2ix³ + -3x³ + x⁴)) = 0
(-45 + -30i + 15x + 30i + -10ix + 20i² + 24ix + -8ix² + 16i²x + -6ix² + 2ix³ + -4i²x² + -14ix + -21x + 7x² + 14ix² + 21x² + -7x³ + (-2ix³ + -3x³ + x⁴)) = 0

Reorder the terms:
(-45 + -30i + 30i + -10ix + 24ix + -14ix + -8ix² + -6ix² + 14ix² + 2ix³ + -2ix³ + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -30i + 30i = 0
(-45 + 0 + -10ix + 24ix + -14ix + -8ix² + -6ix² + 14ix² + 2ix³ + -2ix³ + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0
(-45 + -10ix + 24ix + -14ix + -8ix² + -6ix² + 14ix² + 2ix³ + -2ix³ + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -10ix + 24ix = 14ix
(-45 + 14ix + -14ix + -8ix² + -6ix² + 14ix² + 2ix³ + -2ix³ + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: 14ix + -14ix = 0
(-45 + 0 + -8ix² + -6ix² + 14ix² + 2ix³ + -2ix³ + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0
(-45 + -8ix² + -6ix² + 14ix² + 2ix³ + -2ix³ + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -8ix² + -6ix² = -14ix²
(-45 + -14ix² + 14ix² + 2ix³ + -2ix³ + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -14ix² + 14ix² = 0
(-45 + 0 + 2ix³ + -2ix³ + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0
(-45 + 2ix³ + -2ix³ + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: 2ix³ + -2ix³ = 0
(-45 + 0 + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0
(-45 + 20i² + 16i²x + -4i²x² + 15x + -21x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: 15x + -21x = -6x
(-45 + 20i² + 16i²x + -4i²x² + -6x + 7x² + 21x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: 7x² + 21x² = 28x²
(-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -7x³ + -3x³ + x⁴) = 0

Combine like terms: -7x³ + -3x³ = -10x³
(-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴) = 0

Solving
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '45' to each side of the equation.
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + 45 + x⁴ = 0 + 45

Reorder the terms:
-45 + 45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 0 + 45
20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 0 + 45

Combine like terms: 0 + 45 = 45
20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 45

Add '6x' to each side of the equation.
20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + 6x + x⁴ = 45 + 6x

Reorder the terms:
20i² + 16i²x + -4i²x² + -6x + 6x + 28x² + -10x³ + x⁴ = 45 + 6x

Combine like terms: -6x + 6x = 0
20i² + 16i²x + -4i²x² + 0 + 28x² + -10x³ + x⁴ = 45 + 6x
20i² + 16i²x + -4i²x² + 28x² + -10x³ + x⁴ = 45 + 6x

Add '-28x²' to each side of the equation.
20i² + 16i²x + -4i²x² + 28x² + -10x³ + -28x² + x⁴ = 45 + 6x + -28x²

Reorder the terms:
20i² + 16i²x + -4i²x² + 28x² + -28x² + -10x³ + x⁴ = 45 + 6x + -28x²

Combine like terms: 28x² + -28x² = 0
20i² + 16i²x + -4i²x² + 0 + -10x³ + x⁴ = 45 + 6x + -28x²
20i² + 16i²x + -4i²x² + -10x³ + x⁴ = 45 + 6x + -28x²

Add '10x³' to each side of the equation.
20i² + 16i²x + -4i²x² + -10x³ + 10x³ + x⁴ = 45 + 6x + -28x² + 10x³

Combine like terms: -10x³ + 10x³ = 0
20i² + 16i²x + -4i²x² + 0 + x⁴ = 45 + 6x + -28x² + 10x³
20i² + 16i²x + -4i²x² + x⁴ = 45 + 6x + -28x² + 10x³

Add '-1x⁴' to each side of the equation.
20i² + 16i²x + -4i²x² + x⁴ + -1x⁴ = 45 + 6x + -28x² + 10x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
20i² + 16i²x + -4i²x² + 0 = 45 + 6x + -28x² + 10x³ + -1x⁴
20i² + 16i²x + -4i²x² = 45 + 6x + -28x² + 10x³ + -1x⁴

Reorder the terms:
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 45 + 6x + -28x² + 10x³ + -1x⁴ + -45 + -6x + 28x² + -10x³ + x⁴

Reorder the terms:
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 45 + -45 + 6x + -6x + -28x² + 28x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 45 + -45 = 0
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 0 + 6x + -6x + -28x² + 28x² + 10x³ + -10x³ + -1x⁴ + x⁴
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 6x + -6x + -28x² + 28x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 6x + -6x = 0
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 0 + -28x² + 28x² + 10x³ + -10x³ + -1x⁴ + x⁴
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = -28x² + 28x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: -28x² + 28x² = 0
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 0 + 10x³ + -10x³ + -1x⁴ + x⁴
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 10x³ + -10x³ = 0
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 0 + -1x⁴ + x⁴
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-45 + 20i² + 16i²x + -4i²x² + -6x + 28x² + -10x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x+1)(x-5)(x-3+2i)(x-3-2i)=0

Simple and best practice solution for (x+1)(x-5)(x-3+2i)(x-3-2i)=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+1)(x-5)(x-3+2i)(x-3-2i)=0 equation:

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