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

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Solution for (x+4+3i)(x+4-3i)(x-2)(x-2)=0 equation:

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

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

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

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

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

Multiply (4 + 3i + x) * (4 + -3i + x)
(4(4 + -3i + x) + 3i * (4 + -3i + x) + x(4 + -3i + x))(-2 + x)(-2 + x) = 0
((4 * 4 + -3i * 4 + x * 4) + 3i * (4 + -3i + x) + x(4 + -3i + x))(-2 + x)(-2 + x) = 0
((16 + -12i + 4x) + 3i * (4 + -3i + x) + x(4 + -3i + x))(-2 + x)(-2 + x) = 0
(16 + -12i + 4x + (4 * 3i + -3i * 3i + x * 3i) + x(4 + -3i + x))(-2 + x)(-2 + x) = 0

Reorder the terms:
(16 + -12i + 4x + (12i + 3ix + -9i²) + x(4 + -3i + x))(-2 + x)(-2 + x) = 0
(16 + -12i + 4x + (12i + 3ix + -9i²) + x(4 + -3i + x))(-2 + x)(-2 + x) = 0
(16 + -12i + 4x + 12i + 3ix + -9i² + (4 * x + -3i * x + x * x))(-2 + x)(-2 + x) = 0

Reorder the terms:
(16 + -12i + 4x + 12i + 3ix + -9i² + (-3ix + 4x + x²))(-2 + x)(-2 + x) = 0
(16 + -12i + 4x + 12i + 3ix + -9i² + (-3ix + 4x + x²))(-2 + x)(-2 + x) = 0

Reorder the terms:
(16 + -12i + 12i + 3ix + -3ix + -9i² + 4x + 4x + x²)(-2 + x)(-2 + x) = 0

Combine like terms: -12i + 12i = 0
(16 + 0 + 3ix + -3ix + -9i² + 4x + 4x + x²)(-2 + x)(-2 + x) = 0
(16 + 3ix + -3ix + -9i² + 4x + 4x + x²)(-2 + x)(-2 + x) = 0

Combine like terms: 3ix + -3ix = 0
(16 + 0 + -9i² + 4x + 4x + x²)(-2 + x)(-2 + x) = 0
(16 + -9i² + 4x + 4x + x²)(-2 + x)(-2 + x) = 0

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

Multiply (16 + -9i² + 8x + x²) * (-2 + x)
(16(-2 + x) + -9i² * (-2 + x) + 8x * (-2 + x) + x²(-2 + x))(-2 + x) = 0
((-2 * 16 + x * 16) + -9i² * (-2 + x) + 8x * (-2 + x) + x²(-2 + x))(-2 + x) = 0
((-32 + 16x) + -9i² * (-2 + x) + 8x * (-2 + x) + x²(-2 + x))(-2 + x) = 0
(-32 + 16x + (-2 * -9i² + x * -9i²) + 8x * (-2 + x) + x²(-2 + x))(-2 + x) = 0
(-32 + 16x + (18i² + -9i²x) + 8x * (-2 + x) + x²(-2 + x))(-2 + x) = 0
(-32 + 16x + 18i² + -9i²x + (-2 * 8x + x * 8x) + x²(-2 + x))(-2 + x) = 0
(-32 + 16x + 18i² + -9i²x + (-16x + 8x²) + x²(-2 + x))(-2 + x) = 0
(-32 + 16x + 18i² + -9i²x + -16x + 8x² + (-2 * x² + x * x²))(-2 + x) = 0
(-32 + 16x + 18i² + -9i²x + -16x + 8x² + (-2x² + x³))(-2 + x) = 0

Reorder the terms:
(-32 + 18i² + -9i²x + 16x + -16x + 8x² + -2x² + x³)(-2 + x) = 0

Combine like terms: 16x + -16x = 0
(-32 + 18i² + -9i²x + 0 + 8x² + -2x² + x³)(-2 + x) = 0
(-32 + 18i² + -9i²x + 8x² + -2x² + x³)(-2 + x) = 0

Combine like terms: 8x² + -2x² = 6x²
(-32 + 18i² + -9i²x + 6x² + x³)(-2 + x) = 0

Multiply (-32 + 18i² + -9i²x + 6x² + x³) * (-2 + x)
(-32(-2 + x) + 18i² * (-2 + x) + -9i²x * (-2 + x) + 6x² * (-2 + x) + x³(-2 + x)) = 0
((-2 * -32 + x * -32) + 18i² * (-2 + x) + -9i²x * (-2 + x) + 6x² * (-2 + x) + x³(-2 + x)) = 0
((64 + -32x) + 18i² * (-2 + x) + -9i²x * (-2 + x) + 6x² * (-2 + x) + x³(-2 + x)) = 0
(64 + -32x + (-2 * 18i² + x * 18i²) + -9i²x * (-2 + x) + 6x² * (-2 + x) + x³(-2 + x)) = 0
(64 + -32x + (-36i² + 18i²x) + -9i²x * (-2 + x) + 6x² * (-2 + x) + x³(-2 + x)) = 0
(64 + -32x + -36i² + 18i²x + (-2 * -9i²x + x * -9i²x) + 6x² * (-2 + x) + x³(-2 + x)) = 0
(64 + -32x + -36i² + 18i²x + (18i²x + -9i²x²) + 6x² * (-2 + x) + x³(-2 + x)) = 0
(64 + -32x + -36i² + 18i²x + 18i²x + -9i²x² + (-2 * 6x² + x * 6x²) + x³(-2 + x)) = 0
(64 + -32x + -36i² + 18i²x + 18i²x + -9i²x² + (-12x² + 6x³) + x³(-2 + x)) = 0
(64 + -32x + -36i² + 18i²x + 18i²x + -9i²x² + -12x² + 6x³ + (-2 * x³ + x * x³)) = 0
(64 + -32x + -36i² + 18i²x + 18i²x + -9i²x² + -12x² + 6x³ + (-2x³ + x⁴)) = 0

Reorder the terms:
(64 + -36i² + 18i²x + 18i²x + -9i²x² + -32x + -12x² + 6x³ + -2x³ + x⁴) = 0

Combine like terms: 18i²x + 18i²x = 36i²x
(64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 6x³ + -2x³ + x⁴) = 0

Combine like terms: 6x³ + -2x³ = 4x³
(64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴) = 0

Solving
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-64' to each side of the equation.
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + -64 + x⁴ = 0 + -64

Reorder the terms:
64 + -64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 0 + -64
-36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 0 + -64

Combine like terms: 0 + -64 = -64
-36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = -64

Add '32x' to each side of the equation.
-36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + 32x + x⁴ = -64 + 32x

Reorder the terms:
-36i² + 36i²x + -9i²x² + -32x + 32x + -12x² + 4x³ + x⁴ = -64 + 32x

Combine like terms: -32x + 32x = 0
-36i² + 36i²x + -9i²x² + 0 + -12x² + 4x³ + x⁴ = -64 + 32x
-36i² + 36i²x + -9i²x² + -12x² + 4x³ + x⁴ = -64 + 32x

Add '12x²' to each side of the equation.
-36i² + 36i²x + -9i²x² + -12x² + 4x³ + 12x² + x⁴ = -64 + 32x + 12x²

Reorder the terms:
-36i² + 36i²x + -9i²x² + -12x² + 12x² + 4x³ + x⁴ = -64 + 32x + 12x²

Combine like terms: -12x² + 12x² = 0
-36i² + 36i²x + -9i²x² + 0 + 4x³ + x⁴ = -64 + 32x + 12x²
-36i² + 36i²x + -9i²x² + 4x³ + x⁴ = -64 + 32x + 12x²

Add '-4x³' to each side of the equation.
-36i² + 36i²x + -9i²x² + 4x³ + -4x³ + x⁴ = -64 + 32x + 12x² + -4x³

Combine like terms: 4x³ + -4x³ = 0
-36i² + 36i²x + -9i²x² + 0 + x⁴ = -64 + 32x + 12x² + -4x³
-36i² + 36i²x + -9i²x² + x⁴ = -64 + 32x + 12x² + -4x³

Add '-1x⁴' to each side of the equation.
-36i² + 36i²x + -9i²x² + x⁴ + -1x⁴ = -64 + 32x + 12x² + -4x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-36i² + 36i²x + -9i²x² + 0 = -64 + 32x + 12x² + -4x³ + -1x⁴
-36i² + 36i²x + -9i²x² = -64 + 32x + 12x² + -4x³ + -1x⁴

Reorder the terms:
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = -64 + 32x + 12x² + -4x³ + -1x⁴ + 64 + -32x + -12x² + 4x³ + x⁴

Reorder the terms:
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = -64 + 64 + 32x + -32x + 12x² + -12x² + -4x³ + 4x³ + -1x⁴ + x⁴

Combine like terms: -64 + 64 = 0
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 0 + 32x + -32x + 12x² + -12x² + -4x³ + 4x³ + -1x⁴ + x⁴
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 32x + -32x + 12x² + -12x² + -4x³ + 4x³ + -1x⁴ + x⁴

Combine like terms: 32x + -32x = 0
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 0 + 12x² + -12x² + -4x³ + 4x³ + -1x⁴ + x⁴
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 12x² + -12x² + -4x³ + 4x³ + -1x⁴ + x⁴

Combine like terms: 12x² + -12x² = 0
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 0 + -4x³ + 4x³ + -1x⁴ + x⁴
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = -4x³ + 4x³ + -1x⁴ + x⁴

Combine like terms: -4x³ + 4x³ = 0
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 0 + -1x⁴ + x⁴
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
64 + -36i² + 36i²x + -9i²x² + -32x + -12x² + 4x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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