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

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

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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -4x² + -2x² = -6x²
(10 + 15i + 12ix + -3ix² + 3x + -6x² + x³)(-2 + 3i + x) = 0

Multiply (10 + 15i + 12ix + -3ix² + 3x + -6x² + x³) * (-2 + 3i + x)
(10(-2 + 3i + x) + 15i * (-2 + 3i + x) + 12ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
((-2 * 10 + 3i * 10 + x * 10) + 15i * (-2 + 3i + x) + 12ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
((-20 + 30i + 10x) + 15i * (-2 + 3i + x) + 12ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + (-2 * 15i + 3i * 15i + x * 15i) + 12ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0

Reorder the terms:
(-20 + 30i + 10x + (-30i + 15ix + 45i²) + 12ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + (-30i + 15ix + 45i²) + 12ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + -30i + 15ix + 45i² + (-2 * 12ix + 3i * 12ix + x * 12ix) + -3ix² * (-2 + 3i + x) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0

Reorder the terms:
(-20 + 30i + 10x + -30i + 15ix + 45i² + (-24ix + 12ix² + 36i²x) + -3ix² * (-2 + 3i + x) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + -30i + 15ix + 45i² + (-24ix + 12ix² + 36i²x) + -3ix² * (-2 + 3i + x) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + (-2 * -3ix² + 3i * -3ix² + x * -3ix²) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0

Reorder the terms:
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + (6ix² + -3ix³ + -9i²x²) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + (6ix² + -3ix³ + -9i²x²) + 3x * (-2 + 3i + x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + 6ix² + -3ix³ + -9i²x² + (-2 * 3x + 3i * 3x + x * 3x) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0

Reorder the terms:
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + 6ix² + -3ix³ + -9i²x² + (9ix + -6x + 3x²) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + 6ix² + -3ix³ + -9i²x² + (9ix + -6x + 3x²) + -6x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + 6ix² + -3ix³ + -9i²x² + 9ix + -6x + 3x² + (-2 * -6x² + 3i * -6x² + x * -6x²) + x³(-2 + 3i + x)) = 0

Reorder the terms:
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + 6ix² + -3ix³ + -9i²x² + 9ix + -6x + 3x² + (-18ix² + 12x² + -6x³) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + 6ix² + -3ix³ + -9i²x² + 9ix + -6x + 3x² + (-18ix² + 12x² + -6x³) + x³(-2 + 3i + x)) = 0
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + 6ix² + -3ix³ + -9i²x² + 9ix + -6x + 3x² + -18ix² + 12x² + -6x³ + (-2 * x³ + 3i * x³ + x * x³)) = 0

Reorder the terms:
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + 6ix² + -3ix³ + -9i²x² + 9ix + -6x + 3x² + -18ix² + 12x² + -6x³ + (3ix³ + -2x³ + x⁴)) = 0
(-20 + 30i + 10x + -30i + 15ix + 45i² + -24ix + 12ix² + 36i²x + 6ix² + -3ix³ + -9i²x² + 9ix + -6x + 3x² + -18ix² + 12x² + -6x³ + (3ix³ + -2x³ + x⁴)) = 0

Reorder the terms:
(-20 + 30i + -30i + 15ix + -24ix + 9ix + 12ix² + 6ix² + -18ix² + -3ix³ + 3ix³ + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0

Combine like terms: 30i + -30i = 0
(-20 + 0 + 15ix + -24ix + 9ix + 12ix² + 6ix² + -18ix² + -3ix³ + 3ix³ + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0
(-20 + 15ix + -24ix + 9ix + 12ix² + 6ix² + -18ix² + -3ix³ + 3ix³ + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0

Combine like terms: 15ix + -24ix = -9ix
(-20 + -9ix + 9ix + 12ix² + 6ix² + -18ix² + -3ix³ + 3ix³ + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0

Combine like terms: -9ix + 9ix = 0
(-20 + 0 + 12ix² + 6ix² + -18ix² + -3ix³ + 3ix³ + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0
(-20 + 12ix² + 6ix² + -18ix² + -3ix³ + 3ix³ + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0

Combine like terms: 12ix² + 6ix² = 18ix²
(-20 + 18ix² + -18ix² + -3ix³ + 3ix³ + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0

Combine like terms: 18ix² + -18ix² = 0
(-20 + 0 + -3ix³ + 3ix³ + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0
(-20 + -3ix³ + 3ix³ + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0

Combine like terms: -3ix³ + 3ix³ = 0
(-20 + 0 + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0
(-20 + 45i² + 36i²x + -9i²x² + 10x + -6x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0

Combine like terms: 10x + -6x = 4x
(-20 + 45i² + 36i²x + -9i²x² + 4x + 3x² + 12x² + -6x³ + -2x³ + x⁴) = 0

Combine like terms: 3x² + 12x² = 15x²
(-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -6x³ + -2x³ + x⁴) = 0

Combine like terms: -6x³ + -2x³ = -8x³
(-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴) = 0

Solving
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '20' to each side of the equation.
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + 20 + x⁴ = 0 + 20

Reorder the terms:
-20 + 20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 0 + 20
45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 0 + 20

Combine like terms: 0 + 20 = 20
45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 20

Add '-4x' to each side of the equation.
45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + -4x + x⁴ = 20 + -4x

Reorder the terms:
45i² + 36i²x + -9i²x² + 4x + -4x + 15x² + -8x³ + x⁴ = 20 + -4x

Combine like terms: 4x + -4x = 0
45i² + 36i²x + -9i²x² + 0 + 15x² + -8x³ + x⁴ = 20 + -4x
45i² + 36i²x + -9i²x² + 15x² + -8x³ + x⁴ = 20 + -4x

Add '-15x²' to each side of the equation.
45i² + 36i²x + -9i²x² + 15x² + -8x³ + -15x² + x⁴ = 20 + -4x + -15x²

Reorder the terms:
45i² + 36i²x + -9i²x² + 15x² + -15x² + -8x³ + x⁴ = 20 + -4x + -15x²

Combine like terms: 15x² + -15x² = 0
45i² + 36i²x + -9i²x² + 0 + -8x³ + x⁴ = 20 + -4x + -15x²
45i² + 36i²x + -9i²x² + -8x³ + x⁴ = 20 + -4x + -15x²

Add '8x³' to each side of the equation.
45i² + 36i²x + -9i²x² + -8x³ + 8x³ + x⁴ = 20 + -4x + -15x² + 8x³

Combine like terms: -8x³ + 8x³ = 0
45i² + 36i²x + -9i²x² + 0 + x⁴ = 20 + -4x + -15x² + 8x³
45i² + 36i²x + -9i²x² + x⁴ = 20 + -4x + -15x² + 8x³

Add '-1x⁴' to each side of the equation.
45i² + 36i²x + -9i²x² + x⁴ + -1x⁴ = 20 + -4x + -15x² + 8x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
45i² + 36i²x + -9i²x² + 0 = 20 + -4x + -15x² + 8x³ + -1x⁴
45i² + 36i²x + -9i²x² = 20 + -4x + -15x² + 8x³ + -1x⁴

Reorder the terms:
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 20 + -4x + -15x² + 8x³ + -1x⁴ + -20 + 4x + 15x² + -8x³ + x⁴

Reorder the terms:
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 20 + -20 + -4x + 4x + -15x² + 15x² + 8x³ + -8x³ + -1x⁴ + x⁴

Combine like terms: 20 + -20 = 0
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 0 + -4x + 4x + -15x² + 15x² + 8x³ + -8x³ + -1x⁴ + x⁴
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = -4x + 4x + -15x² + 15x² + 8x³ + -8x³ + -1x⁴ + x⁴

Combine like terms: -4x + 4x = 0
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 0 + -15x² + 15x² + 8x³ + -8x³ + -1x⁴ + x⁴
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = -15x² + 15x² + 8x³ + -8x³ + -1x⁴ + x⁴

Combine like terms: -15x² + 15x² = 0
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 0 + 8x³ + -8x³ + -1x⁴ + x⁴
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 8x³ + -8x³ + -1x⁴ + x⁴

Combine like terms: 8x³ + -8x³ = 0
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 0 + -1x⁴ + x⁴
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-20 + 45i² + 36i²x + -9i²x² + 4x + 15x² + -8x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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