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

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

Simplifying
(x + 2)(x + 3)(x + -1(4 + -3i))(x + -1(4 + 3i)) = 0

Reorder the terms:
(2 + x)(x + 3)(x + -1(4 + -3i))(x + -1(4 + 3i)) = 0

Reorder the terms:
(2 + x)(3 + x)(x + -1(4 + -3i))(x + -1(4 + 3i)) = 0
(2 + x)(3 + x)(x + (4 * -1 + -3i * -1))(x + -1(4 + 3i)) = 0
(2 + x)(3 + x)(x + (-4 + 3i))(x + -1(4 + 3i)) = 0

Reorder the terms:
(2 + x)(3 + x)(-4 + 3i + x)(x + -1(4 + 3i)) = 0
(2 + x)(3 + x)(-4 + 3i + x)(x + (4 * -1 + 3i * -1)) = 0
(2 + x)(3 + x)(-4 + 3i + x)(x + (-4 + -3i)) = 0

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

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x))(-4 + 3i + x)(-4 + -3i + x) = 0
((3 * 2 + x * 2) + x(3 + x))(-4 + 3i + x)(-4 + -3i + x) = 0
((6 + 2x) + x(3 + x))(-4 + 3i + x)(-4 + -3i + x) = 0
(6 + 2x + (3 * x + x * x))(-4 + 3i + x)(-4 + -3i + x) = 0
(6 + 2x + (3x + x²))(-4 + 3i + x)(-4 + -3i + x) = 0

Combine like terms: 2x + 3x = 5x
(6 + 5x + x²)(-4 + 3i + x)(-4 + -3i + x) = 0

Multiply (6 + 5x + x²) * (-4 + 3i + x)
(6(-4 + 3i + x) + 5x * (-4 + 3i + x) + x²(-4 + 3i + x))(-4 + -3i + x) = 0
((-4 * 6 + 3i * 6 + x * 6) + 5x * (-4 + 3i + x) + x²(-4 + 3i + x))(-4 + -3i + x) = 0
((-24 + 18i + 6x) + 5x * (-4 + 3i + x) + x²(-4 + 3i + x))(-4 + -3i + x) = 0
(-24 + 18i + 6x + (-4 * 5x + 3i * 5x + x * 5x) + x²(-4 + 3i + x))(-4 + -3i + x) = 0

Reorder the terms:
(-24 + 18i + 6x + (15ix + -20x + 5x²) + x²(-4 + 3i + x))(-4 + -3i + x) = 0
(-24 + 18i + 6x + (15ix + -20x + 5x²) + x²(-4 + 3i + x))(-4 + -3i + x) = 0
(-24 + 18i + 6x + 15ix + -20x + 5x² + (-4 * x² + 3i * x² + x * x²))(-4 + -3i + x) = 0

Reorder the terms:
(-24 + 18i + 6x + 15ix + -20x + 5x² + (3ix² + -4x² + x³))(-4 + -3i + x) = 0
(-24 + 18i + 6x + 15ix + -20x + 5x² + (3ix² + -4x² + x³))(-4 + -3i + x) = 0

Reorder the terms:
(-24 + 18i + 15ix + 3ix² + 6x + -20x + 5x² + -4x² + x³)(-4 + -3i + x) = 0

Combine like terms: 6x + -20x = -14x
(-24 + 18i + 15ix + 3ix² + -14x + 5x² + -4x² + x³)(-4 + -3i + x) = 0

Combine like terms: 5x² + -4x² = 1x²
(-24 + 18i + 15ix + 3ix² + -14x + 1x² + x³)(-4 + -3i + x) = 0

Multiply (-24 + 18i + 15ix + 3ix² + -14x + 1x² + x³) * (-4 + -3i + x)
(-24(-4 + -3i + x) + 18i * (-4 + -3i + x) + 15ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
((-4 * -24 + -3i * -24 + x * -24) + 18i * (-4 + -3i + x) + 15ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
((96 + 72i + -24x) + 18i * (-4 + -3i + x) + 15ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + (-4 * 18i + -3i * 18i + x * 18i) + 15ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0

Reorder the terms:
(96 + 72i + -24x + (-72i + 18ix + -54i²) + 15ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + (-72i + 18ix + -54i²) + 15ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + -72i + 18ix + -54i² + (-4 * 15ix + -3i * 15ix + x * 15ix) + 3ix² * (-4 + -3i + x) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0

Reorder the terms:
(96 + 72i + -24x + -72i + 18ix + -54i² + (-60ix + 15ix² + -45i²x) + 3ix² * (-4 + -3i + x) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + -72i + 18ix + -54i² + (-60ix + 15ix² + -45i²x) + 3ix² * (-4 + -3i + x) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + (-4 * 3ix² + -3i * 3ix² + x * 3ix²) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0

Reorder the terms:
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + (-12ix² + 3ix³ + -9i²x²) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + (-12ix² + 3ix³ + -9i²x²) + -14x * (-4 + -3i + x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + -12ix² + 3ix³ + -9i²x² + (-4 * -14x + -3i * -14x + x * -14x) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0

Reorder the terms:
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + -12ix² + 3ix³ + -9i²x² + (42ix + 56x + -14x²) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + -12ix² + 3ix³ + -9i²x² + (42ix + 56x + -14x²) + 1x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + -12ix² + 3ix³ + -9i²x² + 42ix + 56x + -14x² + (-4 * 1x² + -3i * 1x² + x * 1x²) + x³(-4 + -3i + x)) = 0

Reorder the terms:
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + -12ix² + 3ix³ + -9i²x² + 42ix + 56x + -14x² + (-3ix² + -4x² + 1x³) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + -12ix² + 3ix³ + -9i²x² + 42ix + 56x + -14x² + (-3ix² + -4x² + 1x³) + x³(-4 + -3i + x)) = 0
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + -12ix² + 3ix³ + -9i²x² + 42ix + 56x + -14x² + -3ix² + -4x² + 1x³ + (-4 * x³ + -3i * x³ + x * x³)) = 0

Reorder the terms:
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + -12ix² + 3ix³ + -9i²x² + 42ix + 56x + -14x² + -3ix² + -4x² + 1x³ + (-3ix³ + -4x³ + x⁴)) = 0
(96 + 72i + -24x + -72i + 18ix + -54i² + -60ix + 15ix² + -45i²x + -12ix² + 3ix³ + -9i²x² + 42ix + 56x + -14x² + -3ix² + -4x² + 1x³ + (-3ix³ + -4x³ + x⁴)) = 0

Reorder the terms:
(96 + 72i + -72i + 18ix + -60ix + 42ix + 15ix² + -12ix² + -3ix² + 3ix³ + -3ix³ + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0

Combine like terms: 72i + -72i = 0
(96 + 0 + 18ix + -60ix + 42ix + 15ix² + -12ix² + -3ix² + 3ix³ + -3ix³ + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0
(96 + 18ix + -60ix + 42ix + 15ix² + -12ix² + -3ix² + 3ix³ + -3ix³ + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0

Combine like terms: 18ix + -60ix = -42ix
(96 + -42ix + 42ix + 15ix² + -12ix² + -3ix² + 3ix³ + -3ix³ + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0

Combine like terms: -42ix + 42ix = 0
(96 + 0 + 15ix² + -12ix² + -3ix² + 3ix³ + -3ix³ + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0
(96 + 15ix² + -12ix² + -3ix² + 3ix³ + -3ix³ + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0

Combine like terms: 15ix² + -12ix² = 3ix²
(96 + 3ix² + -3ix² + 3ix³ + -3ix³ + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0

Combine like terms: 3ix² + -3ix² = 0
(96 + 0 + 3ix³ + -3ix³ + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0
(96 + 3ix³ + -3ix³ + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0

Combine like terms: 3ix³ + -3ix³ = 0
(96 + 0 + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0
(96 + -54i² + -45i²x + -9i²x² + -24x + 56x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0

Combine like terms: -24x + 56x = 32x
(96 + -54i² + -45i²x + -9i²x² + 32x + -14x² + -4x² + 1x³ + -4x³ + x⁴) = 0

Combine like terms: -14x² + -4x² = -18x²
(96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + 1x³ + -4x³ + x⁴) = 0

Combine like terms: 1x³ + -4x³ = -3x³
(96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴) = 0

Solving
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-96' to each side of the equation.
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + -96 + x⁴ = 0 + -96

Reorder the terms:
96 + -96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 0 + -96

Combine like terms: 96 + -96 = 0
0 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 0 + -96
-54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 0 + -96

Combine like terms: 0 + -96 = -96
-54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = -96

Add '-32x' to each side of the equation.
-54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + -32x + x⁴ = -96 + -32x

Reorder the terms:
-54i² + -45i²x + -9i²x² + 32x + -32x + -18x² + -3x³ + x⁴ = -96 + -32x

Combine like terms: 32x + -32x = 0
-54i² + -45i²x + -9i²x² + 0 + -18x² + -3x³ + x⁴ = -96 + -32x
-54i² + -45i²x + -9i²x² + -18x² + -3x³ + x⁴ = -96 + -32x

Add '18x²' to each side of the equation.
-54i² + -45i²x + -9i²x² + -18x² + -3x³ + 18x² + x⁴ = -96 + -32x + 18x²

Reorder the terms:
-54i² + -45i²x + -9i²x² + -18x² + 18x² + -3x³ + x⁴ = -96 + -32x + 18x²

Combine like terms: -18x² + 18x² = 0
-54i² + -45i²x + -9i²x² + 0 + -3x³ + x⁴ = -96 + -32x + 18x²
-54i² + -45i²x + -9i²x² + -3x³ + x⁴ = -96 + -32x + 18x²

Add '3x³' to each side of the equation.
-54i² + -45i²x + -9i²x² + -3x³ + 3x³ + x⁴ = -96 + -32x + 18x² + 3x³

Combine like terms: -3x³ + 3x³ = 0
-54i² + -45i²x + -9i²x² + 0 + x⁴ = -96 + -32x + 18x² + 3x³
-54i² + -45i²x + -9i²x² + x⁴ = -96 + -32x + 18x² + 3x³

Add '-1x⁴' to each side of the equation.
-54i² + -45i²x + -9i²x² + x⁴ + -1x⁴ = -96 + -32x + 18x² + 3x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-54i² + -45i²x + -9i²x² + 0 = -96 + -32x + 18x² + 3x³ + -1x⁴
-54i² + -45i²x + -9i²x² = -96 + -32x + 18x² + 3x³ + -1x⁴

Reorder the terms:
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = -96 + -32x + 18x² + 3x³ + -1x⁴ + 96 + 32x + -18x² + -3x³ + x⁴

Reorder the terms:
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = -96 + 96 + -32x + 32x + 18x² + -18x² + 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: -96 + 96 = 0
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 0 + -32x + 32x + 18x² + -18x² + 3x³ + -3x³ + -1x⁴ + x⁴
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = -32x + 32x + 18x² + -18x² + 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: -32x + 32x = 0
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 0 + 18x² + -18x² + 3x³ + -3x³ + -1x⁴ + x⁴
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 18x² + -18x² + 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: 18x² + -18x² = 0
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 0 + 3x³ + -3x³ + -1x⁴ + x⁴
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 3x³ + -3x³ + -1x⁴ + x⁴

Combine like terms: 3x³ + -3x³ = 0
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 0 + -1x⁴ + x⁴
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
96 + -54i² + -45i²x + -9i²x² + 32x + -18x² + -3x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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