(x^2+7)(x-2+3i)(x-2-3i)=0

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Solution for (x^2+7)(x-2+3i)(x-2-3i)=0 equation:

Simplifying
(x² + 7)(x + -2 + 3i)(x + -2 + -3i) = 0

Reorder the terms:
(7 + x²)(x + -2 + 3i)(x + -2 + -3i) = 0

Reorder the terms:
(7 + x²)(-2 + 3i + x)(x + -2 + -3i) = 0

Reorder the terms:
(7 + x²)(-2 + 3i + x)(-2 + -3i + x) = 0

Multiply (7 + x²) * (-2 + 3i + x)
(7(-2 + 3i + x) + x²(-2 + 3i + x))(-2 + -3i + x) = 0
((-2 * 7 + 3i * 7 + x * 7) + x²(-2 + 3i + x))(-2 + -3i + x) = 0
((-14 + 21i + 7x) + x²(-2 + 3i + x))(-2 + -3i + x) = 0
(-14 + 21i + 7x + (-2 * x² + 3i * x² + x * x²))(-2 + -3i + x) = 0

Reorder the terms:
(-14 + 21i + 7x + (3ix² + -2x² + x³))(-2 + -3i + x) = 0
(-14 + 21i + 7x + (3ix² + -2x² + x³))(-2 + -3i + x) = 0

Reorder the terms:
(-14 + 21i + 3ix² + 7x + -2x² + x³)(-2 + -3i + x) = 0
(-14 + 21i + 3ix² + 7x + -2x² + x³)(-2 + -3i + x) = 0

Multiply (-14 + 21i + 3ix² + 7x + -2x² + x³) * (-2 + -3i + x)
(-14(-2 + -3i + x) + 21i * (-2 + -3i + x) + 3ix² * (-2 + -3i + x) + 7x * (-2 + -3i + x) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0
((-2 * -14 + -3i * -14 + x * -14) + 21i * (-2 + -3i + x) + 3ix² * (-2 + -3i + x) + 7x * (-2 + -3i + x) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0
((28 + 42i + -14x) + 21i * (-2 + -3i + x) + 3ix² * (-2 + -3i + x) + 7x * (-2 + -3i + x) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0
(28 + 42i + -14x + (-2 * 21i + -3i * 21i + x * 21i) + 3ix² * (-2 + -3i + x) + 7x * (-2 + -3i + x) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0

Reorder the terms:
(28 + 42i + -14x + (-42i + 21ix + -63i²) + 3ix² * (-2 + -3i + x) + 7x * (-2 + -3i + x) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0
(28 + 42i + -14x + (-42i + 21ix + -63i²) + 3ix² * (-2 + -3i + x) + 7x * (-2 + -3i + x) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0
(28 + 42i + -14x + -42i + 21ix + -63i² + (-2 * 3ix² + -3i * 3ix² + x * 3ix²) + 7x * (-2 + -3i + x) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0

Reorder the terms:
(28 + 42i + -14x + -42i + 21ix + -63i² + (-6ix² + 3ix³ + -9i²x²) + 7x * (-2 + -3i + x) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0
(28 + 42i + -14x + -42i + 21ix + -63i² + (-6ix² + 3ix³ + -9i²x²) + 7x * (-2 + -3i + x) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0
(28 + 42i + -14x + -42i + 21ix + -63i² + -6ix² + 3ix³ + -9i²x² + (-2 * 7x + -3i * 7x + x * 7x) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0

Reorder the terms:
(28 + 42i + -14x + -42i + 21ix + -63i² + -6ix² + 3ix³ + -9i²x² + (-21ix + -14x + 7x²) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0
(28 + 42i + -14x + -42i + 21ix + -63i² + -6ix² + 3ix³ + -9i²x² + (-21ix + -14x + 7x²) + -2x² * (-2 + -3i + x) + x³(-2 + -3i + x)) = 0
(28 + 42i + -14x + -42i + 21ix + -63i² + -6ix² + 3ix³ + -9i²x² + -21ix + -14x + 7x² + (-2 * -2x² + -3i * -2x² + x * -2x²) + x³(-2 + -3i + x)) = 0

Reorder the terms:
(28 + 42i + -14x + -42i + 21ix + -63i² + -6ix² + 3ix³ + -9i²x² + -21ix + -14x + 7x² + (6ix² + 4x² + -2x³) + x³(-2 + -3i + x)) = 0
(28 + 42i + -14x + -42i + 21ix + -63i² + -6ix² + 3ix³ + -9i²x² + -21ix + -14x + 7x² + (6ix² + 4x² + -2x³) + x³(-2 + -3i + x)) = 0
(28 + 42i + -14x + -42i + 21ix + -63i² + -6ix² + 3ix³ + -9i²x² + -21ix + -14x + 7x² + 6ix² + 4x² + -2x³ + (-2 * x³ + -3i * x³ + x * x³)) = 0

Reorder the terms:
(28 + 42i + -14x + -42i + 21ix + -63i² + -6ix² + 3ix³ + -9i²x² + -21ix + -14x + 7x² + 6ix² + 4x² + -2x³ + (-3ix³ + -2x³ + x⁴)) = 0
(28 + 42i + -14x + -42i + 21ix + -63i² + -6ix² + 3ix³ + -9i²x² + -21ix + -14x + 7x² + 6ix² + 4x² + -2x³ + (-3ix³ + -2x³ + x⁴)) = 0

Reorder the terms:
(28 + 42i + -42i + 21ix + -21ix + -6ix² + 6ix² + 3ix³ + -3ix³ + -63i² + -9i²x² + -14x + -14x + 7x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: 42i + -42i = 0
(28 + 0 + 21ix + -21ix + -6ix² + 6ix² + 3ix³ + -3ix³ + -63i² + -9i²x² + -14x + -14x + 7x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(28 + 21ix + -21ix + -6ix² + 6ix² + 3ix³ + -3ix³ + -63i² + -9i²x² + -14x + -14x + 7x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: 21ix + -21ix = 0
(28 + 0 + -6ix² + 6ix² + 3ix³ + -3ix³ + -63i² + -9i²x² + -14x + -14x + 7x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(28 + -6ix² + 6ix² + 3ix³ + -3ix³ + -63i² + -9i²x² + -14x + -14x + 7x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -6ix² + 6ix² = 0
(28 + 0 + 3ix³ + -3ix³ + -63i² + -9i²x² + -14x + -14x + 7x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(28 + 3ix³ + -3ix³ + -63i² + -9i²x² + -14x + -14x + 7x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: 3ix³ + -3ix³ = 0
(28 + 0 + -63i² + -9i²x² + -14x + -14x + 7x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(28 + -63i² + -9i²x² + -14x + -14x + 7x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -14x + -14x = -28x
(28 + -63i² + -9i²x² + -28x + 7x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: 7x² + 4x² = 11x²
(28 + -63i² + -9i²x² + -28x + 11x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -2x³ + -2x³ = -4x³
(28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴) = 0

Solving
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-28' to each side of the equation.
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + -28 + x⁴ = 0 + -28

Reorder the terms:
28 + -28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 0 + -28
-63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 0 + -28

Combine like terms: 0 + -28 = -28
-63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = -28

Add '28x' to each side of the equation.
-63i² + -9i²x² + -28x + 11x² + -4x³ + 28x + x⁴ = -28 + 28x

Reorder the terms:
-63i² + -9i²x² + -28x + 28x + 11x² + -4x³ + x⁴ = -28 + 28x

Combine like terms: -28x + 28x = 0
-63i² + -9i²x² + 0 + 11x² + -4x³ + x⁴ = -28 + 28x
-63i² + -9i²x² + 11x² + -4x³ + x⁴ = -28 + 28x

Add '-11x²' to each side of the equation.
-63i² + -9i²x² + 11x² + -4x³ + -11x² + x⁴ = -28 + 28x + -11x²

Reorder the terms:
-63i² + -9i²x² + 11x² + -11x² + -4x³ + x⁴ = -28 + 28x + -11x²

Combine like terms: 11x² + -11x² = 0
-63i² + -9i²x² + 0 + -4x³ + x⁴ = -28 + 28x + -11x²
-63i² + -9i²x² + -4x³ + x⁴ = -28 + 28x + -11x²

Add '4x³' to each side of the equation.
-63i² + -9i²x² + -4x³ + 4x³ + x⁴ = -28 + 28x + -11x² + 4x³

Combine like terms: -4x³ + 4x³ = 0
-63i² + -9i²x² + 0 + x⁴ = -28 + 28x + -11x² + 4x³
-63i² + -9i²x² + x⁴ = -28 + 28x + -11x² + 4x³

Add '-1x⁴' to each side of the equation.
-63i² + -9i²x² + x⁴ + -1x⁴ = -28 + 28x + -11x² + 4x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-63i² + -9i²x² + 0 = -28 + 28x + -11x² + 4x³ + -1x⁴
-63i² + -9i²x² = -28 + 28x + -11x² + 4x³ + -1x⁴

Reorder the terms:
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = -28 + 28x + -11x² + 4x³ + -1x⁴ + 28 + -28x + 11x² + -4x³ + x⁴

Reorder the terms:
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = -28 + 28 + 28x + -28x + -11x² + 11x² + 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: -28 + 28 = 0
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 0 + 28x + -28x + -11x² + 11x² + 4x³ + -4x³ + -1x⁴ + x⁴
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 28x + -28x + -11x² + 11x² + 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: 28x + -28x = 0
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 0 + -11x² + 11x² + 4x³ + -4x³ + -1x⁴ + x⁴
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = -11x² + 11x² + 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: -11x² + 11x² = 0
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 0 + 4x³ + -4x³ + -1x⁴ + x⁴
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: 4x³ + -4x³ = 0
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 0 + -1x⁴ + x⁴
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
28 + -63i² + -9i²x² + -28x + 11x² + -4x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x^2+7)(x-2+3i)(x-2-3i)=0

Simple and best practice solution for (x^2+7)(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+7)(x-2+3i)(x-2-3i)=0 equation:

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