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

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Solution for (x+5)(x-2-3i)(x-2+3i)=0 equation:

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

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

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

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

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

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

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

Combine like terms: 5x + -2x = 3x
(-10 + -15i + -3ix + 3x + x²)(-2 + 3i + x) = 0

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

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

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

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

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

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

Combine like terms: -30i + 30i = 0
(20 + 0 + -15ix + 6ix + 9ix + -3ix² + 3ix² + -45i² + -9i²x + -10x + -6x + 3x² + -2x² + x³) = 0
(20 + -15ix + 6ix + 9ix + -3ix² + 3ix² + -45i² + -9i²x + -10x + -6x + 3x² + -2x² + x³) = 0

Combine like terms: -15ix + 6ix = -9ix
(20 + -9ix + 9ix + -3ix² + 3ix² + -45i² + -9i²x + -10x + -6x + 3x² + -2x² + x³) = 0

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

Combine like terms: -3ix² + 3ix² = 0
(20 + 0 + -45i² + -9i²x + -10x + -6x + 3x² + -2x² + x³) = 0
(20 + -45i² + -9i²x + -10x + -6x + 3x² + -2x² + x³) = 0

Combine like terms: -10x + -6x = -16x
(20 + -45i² + -9i²x + -16x + 3x² + -2x² + x³) = 0

Combine like terms: 3x² + -2x² = 1x²
(20 + -45i² + -9i²x + -16x + 1x² + x³) = 0

Solving
20 + -45i² + -9i²x + -16x + 1x² + x³ = 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 + -9i²x + -16x + 1x² + -20 + x³ = 0 + -20

Reorder the terms:
20 + -20 + -45i² + -9i²x + -16x + 1x² + x³ = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -45i² + -9i²x + -16x + 1x² + x³ = 0 + -20
-45i² + -9i²x + -16x + 1x² + x³ = 0 + -20

Combine like terms: 0 + -20 = -20
-45i² + -9i²x + -16x + 1x² + x³ = -20

Add '16x' to each side of the equation.
-45i² + -9i²x + -16x + 1x² + 16x + x³ = -20 + 16x

Reorder the terms:
-45i² + -9i²x + -16x + 16x + 1x² + x³ = -20 + 16x

Combine like terms: -16x + 16x = 0
-45i² + -9i²x + 0 + 1x² + x³ = -20 + 16x
-45i² + -9i²x + 1x² + x³ = -20 + 16x

Add '-1x²' to each side of the equation.
-45i² + -9i²x + 1x² + -1x² + x³ = -20 + 16x + -1x²

Combine like terms: 1x² + -1x² = 0
-45i² + -9i²x + 0 + x³ = -20 + 16x + -1x²
-45i² + -9i²x + x³ = -20 + 16x + -1x²

Add '-1x³' to each side of the equation.
-45i² + -9i²x + x³ + -1x³ = -20 + 16x + -1x² + -1x³

Combine like terms: x³ + -1x³ = 0
-45i² + -9i²x + 0 = -20 + 16x + -1x² + -1x³
-45i² + -9i²x = -20 + 16x + -1x² + -1x³

Reorder the terms:
20 + -45i² + -9i²x + -16x + x² + x³ = -20 + 16x + -1x² + -1x³ + 20 + -16x + x² + x³

Reorder the terms:
20 + -45i² + -9i²x + -16x + x² + x³ = -20 + 20 + 16x + -16x + -1x² + x² + -1x³ + x³

Combine like terms: -20 + 20 = 0
20 + -45i² + -9i²x + -16x + x² + x³ = 0 + 16x + -16x + -1x² + x² + -1x³ + x³
20 + -45i² + -9i²x + -16x + x² + x³ = 16x + -16x + -1x² + x² + -1x³ + x³

Combine like terms: 16x + -16x = 0
20 + -45i² + -9i²x + -16x + x² + x³ = 0 + -1x² + x² + -1x³ + x³
20 + -45i² + -9i²x + -16x + x² + x³ = -1x² + x² + -1x³ + x³

Combine like terms: -1x² + x² = 0
20 + -45i² + -9i²x + -16x + x² + x³ = 0 + -1x³ + x³
20 + -45i² + -9i²x + -16x + x² + x³ = -1x³ + x³

Combine like terms: -1x³ + x³ = 0
20 + -45i² + -9i²x + -16x + x² + x³ = 0

The solution to this equation could not be determined.

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

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

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

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