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

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

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

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

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

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

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

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

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

Multiply (-4 + x²) * (2 + -3i + x)
(-4(2 + -3i + x) + x²(2 + -3i + x))(2 + 3i + x) = 0
((2 * -4 + -3i * -4 + x * -4) + x²(2 + -3i + x))(2 + 3i + x) = 0
((-8 + 12i + -4x) + x²(2 + -3i + x))(2 + 3i + x) = 0
(-8 + 12i + -4x + (2 * x² + -3i * x² + x * x²))(2 + 3i + x) = 0

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

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

Multiply (-8 + 12i + -3ix² + -4x + 2x² + x³) * (2 + 3i + x)
(-8(2 + 3i + x) + 12i * (2 + 3i + x) + -3ix² * (2 + 3i + x) + -4x * (2 + 3i + x) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0
((2 * -8 + 3i * -8 + x * -8) + 12i * (2 + 3i + x) + -3ix² * (2 + 3i + x) + -4x * (2 + 3i + x) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0
((-16 + -24i + -8x) + 12i * (2 + 3i + x) + -3ix² * (2 + 3i + x) + -4x * (2 + 3i + x) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0
(-16 + -24i + -8x + (2 * 12i + 3i * 12i + x * 12i) + -3ix² * (2 + 3i + x) + -4x * (2 + 3i + x) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0

Reorder the terms:
(-16 + -24i + -8x + (24i + 12ix + 36i²) + -3ix² * (2 + 3i + x) + -4x * (2 + 3i + x) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0
(-16 + -24i + -8x + (24i + 12ix + 36i²) + -3ix² * (2 + 3i + x) + -4x * (2 + 3i + x) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0
(-16 + -24i + -8x + 24i + 12ix + 36i² + (2 * -3ix² + 3i * -3ix² + x * -3ix²) + -4x * (2 + 3i + x) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0

Reorder the terms:
(-16 + -24i + -8x + 24i + 12ix + 36i² + (-6ix² + -3ix³ + -9i²x²) + -4x * (2 + 3i + x) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0
(-16 + -24i + -8x + 24i + 12ix + 36i² + (-6ix² + -3ix³ + -9i²x²) + -4x * (2 + 3i + x) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0
(-16 + -24i + -8x + 24i + 12ix + 36i² + -6ix² + -3ix³ + -9i²x² + (2 * -4x + 3i * -4x + x * -4x) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0

Reorder the terms:
(-16 + -24i + -8x + 24i + 12ix + 36i² + -6ix² + -3ix³ + -9i²x² + (-12ix + -8x + -4x²) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0
(-16 + -24i + -8x + 24i + 12ix + 36i² + -6ix² + -3ix³ + -9i²x² + (-12ix + -8x + -4x²) + 2x² * (2 + 3i + x) + x³(2 + 3i + x)) = 0
(-16 + -24i + -8x + 24i + 12ix + 36i² + -6ix² + -3ix³ + -9i²x² + -12ix + -8x + -4x² + (2 * 2x² + 3i * 2x² + x * 2x²) + x³(2 + 3i + x)) = 0

Reorder the terms:
(-16 + -24i + -8x + 24i + 12ix + 36i² + -6ix² + -3ix³ + -9i²x² + -12ix + -8x + -4x² + (6ix² + 4x² + 2x³) + x³(2 + 3i + x)) = 0
(-16 + -24i + -8x + 24i + 12ix + 36i² + -6ix² + -3ix³ + -9i²x² + -12ix + -8x + -4x² + (6ix² + 4x² + 2x³) + x³(2 + 3i + x)) = 0
(-16 + -24i + -8x + 24i + 12ix + 36i² + -6ix² + -3ix³ + -9i²x² + -12ix + -8x + -4x² + 6ix² + 4x² + 2x³ + (2 * x³ + 3i * x³ + x * x³)) = 0

Reorder the terms:
(-16 + -24i + -8x + 24i + 12ix + 36i² + -6ix² + -3ix³ + -9i²x² + -12ix + -8x + -4x² + 6ix² + 4x² + 2x³ + (3ix³ + 2x³ + x⁴)) = 0
(-16 + -24i + -8x + 24i + 12ix + 36i² + -6ix² + -3ix³ + -9i²x² + -12ix + -8x + -4x² + 6ix² + 4x² + 2x³ + (3ix³ + 2x³ + x⁴)) = 0

Reorder the terms:
(-16 + -24i + 24i + 12ix + -12ix + -6ix² + 6ix² + -3ix³ + 3ix³ + 36i² + -9i²x² + -8x + -8x + -4x² + 4x² + 2x³ + 2x³ + x⁴) = 0

Combine like terms: -24i + 24i = 0
(-16 + 0 + 12ix + -12ix + -6ix² + 6ix² + -3ix³ + 3ix³ + 36i² + -9i²x² + -8x + -8x + -4x² + 4x² + 2x³ + 2x³ + x⁴) = 0
(-16 + 12ix + -12ix + -6ix² + 6ix² + -3ix³ + 3ix³ + 36i² + -9i²x² + -8x + -8x + -4x² + 4x² + 2x³ + 2x³ + x⁴) = 0

Combine like terms: 12ix + -12ix = 0
(-16 + 0 + -6ix² + 6ix² + -3ix³ + 3ix³ + 36i² + -9i²x² + -8x + -8x + -4x² + 4x² + 2x³ + 2x³ + x⁴) = 0
(-16 + -6ix² + 6ix² + -3ix³ + 3ix³ + 36i² + -9i²x² + -8x + -8x + -4x² + 4x² + 2x³ + 2x³ + x⁴) = 0

Combine like terms: -6ix² + 6ix² = 0
(-16 + 0 + -3ix³ + 3ix³ + 36i² + -9i²x² + -8x + -8x + -4x² + 4x² + 2x³ + 2x³ + x⁴) = 0
(-16 + -3ix³ + 3ix³ + 36i² + -9i²x² + -8x + -8x + -4x² + 4x² + 2x³ + 2x³ + x⁴) = 0

Combine like terms: -3ix³ + 3ix³ = 0
(-16 + 0 + 36i² + -9i²x² + -8x + -8x + -4x² + 4x² + 2x³ + 2x³ + x⁴) = 0
(-16 + 36i² + -9i²x² + -8x + -8x + -4x² + 4x² + 2x³ + 2x³ + x⁴) = 0

Combine like terms: -8x + -8x = -16x
(-16 + 36i² + -9i²x² + -16x + -4x² + 4x² + 2x³ + 2x³ + x⁴) = 0

Combine like terms: -4x² + 4x² = 0
(-16 + 36i² + -9i²x² + -16x + 0 + 2x³ + 2x³ + x⁴) = 0
(-16 + 36i² + -9i²x² + -16x + 2x³ + 2x³ + x⁴) = 0

Combine like terms: 2x³ + 2x³ = 4x³
(-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴) = 0

Solving
-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '16' to each side of the equation.
-16 + 36i² + -9i²x² + -16x + 4x³ + 16 + x⁴ = 0 + 16

Reorder the terms:
-16 + 16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = 0 + 16
36i² + -9i²x² + -16x + 4x³ + x⁴ = 0 + 16

Combine like terms: 0 + 16 = 16
36i² + -9i²x² + -16x + 4x³ + x⁴ = 16

Add '16x' to each side of the equation.
36i² + -9i²x² + -16x + 4x³ + 16x + x⁴ = 16 + 16x

Reorder the terms:
36i² + -9i²x² + -16x + 16x + 4x³ + x⁴ = 16 + 16x

Combine like terms: -16x + 16x = 0
36i² + -9i²x² + 0 + 4x³ + x⁴ = 16 + 16x
36i² + -9i²x² + 4x³ + x⁴ = 16 + 16x

Add '-4x³' to each side of the equation.
36i² + -9i²x² + 4x³ + -4x³ + x⁴ = 16 + 16x + -4x³

Combine like terms: 4x³ + -4x³ = 0
36i² + -9i²x² + 0 + x⁴ = 16 + 16x + -4x³
36i² + -9i²x² + x⁴ = 16 + 16x + -4x³

Add '-1x⁴' to each side of the equation.
36i² + -9i²x² + x⁴ + -1x⁴ = 16 + 16x + -4x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
36i² + -9i²x² + 0 = 16 + 16x + -4x³ + -1x⁴
36i² + -9i²x² = 16 + 16x + -4x³ + -1x⁴

Reorder the terms:
-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = 16 + 16x + -4x³ + -1x⁴ + -16 + -16x + 4x³ + x⁴

Reorder the terms:
-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = 16 + -16 + 16x + -16x + -4x³ + 4x³ + -1x⁴ + x⁴

Combine like terms: 16 + -16 = 0
-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = 0 + 16x + -16x + -4x³ + 4x³ + -1x⁴ + x⁴
-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = 16x + -16x + -4x³ + 4x³ + -1x⁴ + x⁴

Combine like terms: 16x + -16x = 0
-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = 0 + -4x³ + 4x³ + -1x⁴ + x⁴
-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = -4x³ + 4x³ + -1x⁴ + x⁴

Combine like terms: -4x³ + 4x³ = 0
-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = 0 + -1x⁴ + x⁴
-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-16 + 36i² + -9i²x² + -16x + 4x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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

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