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

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

Simplifying
(x + -3)(x + -3)(x + -1(3 + -5i))(x + -1(3 + 5i)) = 0

Reorder the terms:
(-3 + x)(x + -3)(x + -1(3 + -5i))(x + -1(3 + 5i)) = 0

Reorder the terms:
(-3 + x)(-3 + x)(x + -1(3 + -5i))(x + -1(3 + 5i)) = 0
(-3 + x)(-3 + x)(x + (3 * -1 + -5i * -1))(x + -1(3 + 5i)) = 0
(-3 + x)(-3 + x)(x + (-3 + 5i))(x + -1(3 + 5i)) = 0

Reorder the terms:
(-3 + x)(-3 + x)(-3 + 5i + x)(x + -1(3 + 5i)) = 0
(-3 + x)(-3 + x)(-3 + 5i + x)(x + (3 * -1 + 5i * -1)) = 0
(-3 + x)(-3 + x)(-3 + 5i + x)(x + (-3 + -5i)) = 0

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

Multiply (-3 + x) * (-3 + x)
(-3(-3 + x) + x(-3 + x))(-3 + 5i + x)(-3 + -5i + x) = 0
((-3 * -3 + x * -3) + x(-3 + x))(-3 + 5i + x)(-3 + -5i + x) = 0
((9 + -3x) + x(-3 + x))(-3 + 5i + x)(-3 + -5i + x) = 0
(9 + -3x + (-3 * x + x * x))(-3 + 5i + x)(-3 + -5i + x) = 0
(9 + -3x + (-3x + x²))(-3 + 5i + x)(-3 + -5i + x) = 0

Combine like terms: -3x + -3x = -6x
(9 + -6x + x²)(-3 + 5i + x)(-3 + -5i + x) = 0

Multiply (9 + -6x + x²) * (-3 + 5i + x)
(9(-3 + 5i + x) + -6x * (-3 + 5i + x) + x²(-3 + 5i + x))(-3 + -5i + x) = 0
((-3 * 9 + 5i * 9 + x * 9) + -6x * (-3 + 5i + x) + x²(-3 + 5i + x))(-3 + -5i + x) = 0
((-27 + 45i + 9x) + -6x * (-3 + 5i + x) + x²(-3 + 5i + x))(-3 + -5i + x) = 0
(-27 + 45i + 9x + (-3 * -6x + 5i * -6x + x * -6x) + x²(-3 + 5i + x))(-3 + -5i + x) = 0

Reorder the terms:
(-27 + 45i + 9x + (-30ix + 18x + -6x²) + x²(-3 + 5i + x))(-3 + -5i + x) = 0
(-27 + 45i + 9x + (-30ix + 18x + -6x²) + x²(-3 + 5i + x))(-3 + -5i + x) = 0
(-27 + 45i + 9x + -30ix + 18x + -6x² + (-3 * x² + 5i * x² + x * x²))(-3 + -5i + x) = 0

Reorder the terms:
(-27 + 45i + 9x + -30ix + 18x + -6x² + (5ix² + -3x² + x³))(-3 + -5i + x) = 0
(-27 + 45i + 9x + -30ix + 18x + -6x² + (5ix² + -3x² + x³))(-3 + -5i + x) = 0

Reorder the terms:
(-27 + 45i + -30ix + 5ix² + 9x + 18x + -6x² + -3x² + x³)(-3 + -5i + x) = 0

Combine like terms: 9x + 18x = 27x
(-27 + 45i + -30ix + 5ix² + 27x + -6x² + -3x² + x³)(-3 + -5i + x) = 0

Combine like terms: -6x² + -3x² = -9x²
(-27 + 45i + -30ix + 5ix² + 27x + -9x² + x³)(-3 + -5i + x) = 0

Multiply (-27 + 45i + -30ix + 5ix² + 27x + -9x² + x³) * (-3 + -5i + x)
(-27(-3 + -5i + x) + 45i * (-3 + -5i + x) + -30ix * (-3 + -5i + x) + 5ix² * (-3 + -5i + x) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
((-3 * -27 + -5i * -27 + x * -27) + 45i * (-3 + -5i + x) + -30ix * (-3 + -5i + x) + 5ix² * (-3 + -5i + x) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
((81 + 135i + -27x) + 45i * (-3 + -5i + x) + -30ix * (-3 + -5i + x) + 5ix² * (-3 + -5i + x) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + (-3 * 45i + -5i * 45i + x * 45i) + -30ix * (-3 + -5i + x) + 5ix² * (-3 + -5i + x) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0

Reorder the terms:
(81 + 135i + -27x + (-135i + 45ix + -225i²) + -30ix * (-3 + -5i + x) + 5ix² * (-3 + -5i + x) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + (-135i + 45ix + -225i²) + -30ix * (-3 + -5i + x) + 5ix² * (-3 + -5i + x) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + -135i + 45ix + -225i² + (-3 * -30ix + -5i * -30ix + x * -30ix) + 5ix² * (-3 + -5i + x) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0

Reorder the terms:
(81 + 135i + -27x + -135i + 45ix + -225i² + (90ix + -30ix² + 150i²x) + 5ix² * (-3 + -5i + x) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + -135i + 45ix + -225i² + (90ix + -30ix² + 150i²x) + 5ix² * (-3 + -5i + x) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + (-3 * 5ix² + -5i * 5ix² + x * 5ix²) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0

Reorder the terms:
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + (-15ix² + 5ix³ + -25i²x²) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + (-15ix² + 5ix³ + -25i²x²) + 27x * (-3 + -5i + x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + -15ix² + 5ix³ + -25i²x² + (-3 * 27x + -5i * 27x + x * 27x) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0

Reorder the terms:
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + -15ix² + 5ix³ + -25i²x² + (-135ix + -81x + 27x²) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + -15ix² + 5ix³ + -25i²x² + (-135ix + -81x + 27x²) + -9x² * (-3 + -5i + x) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + -15ix² + 5ix³ + -25i²x² + -135ix + -81x + 27x² + (-3 * -9x² + -5i * -9x² + x * -9x²) + x³(-3 + -5i + x)) = 0

Reorder the terms:
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + -15ix² + 5ix³ + -25i²x² + -135ix + -81x + 27x² + (45ix² + 27x² + -9x³) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + -15ix² + 5ix³ + -25i²x² + -135ix + -81x + 27x² + (45ix² + 27x² + -9x³) + x³(-3 + -5i + x)) = 0
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + -15ix² + 5ix³ + -25i²x² + -135ix + -81x + 27x² + 45ix² + 27x² + -9x³ + (-3 * x³ + -5i * x³ + x * x³)) = 0

Reorder the terms:
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + -15ix² + 5ix³ + -25i²x² + -135ix + -81x + 27x² + 45ix² + 27x² + -9x³ + (-5ix³ + -3x³ + x⁴)) = 0
(81 + 135i + -27x + -135i + 45ix + -225i² + 90ix + -30ix² + 150i²x + -15ix² + 5ix³ + -25i²x² + -135ix + -81x + 27x² + 45ix² + 27x² + -9x³ + (-5ix³ + -3x³ + x⁴)) = 0

Reorder the terms:
(81 + 135i + -135i + 45ix + 90ix + -135ix + -30ix² + -15ix² + 45ix² + 5ix³ + -5ix³ + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0

Combine like terms: 135i + -135i = 0
(81 + 0 + 45ix + 90ix + -135ix + -30ix² + -15ix² + 45ix² + 5ix³ + -5ix³ + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0
(81 + 45ix + 90ix + -135ix + -30ix² + -15ix² + 45ix² + 5ix³ + -5ix³ + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0

Combine like terms: 45ix + 90ix = 135ix
(81 + 135ix + -135ix + -30ix² + -15ix² + 45ix² + 5ix³ + -5ix³ + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0

Combine like terms: 135ix + -135ix = 0
(81 + 0 + -30ix² + -15ix² + 45ix² + 5ix³ + -5ix³ + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0
(81 + -30ix² + -15ix² + 45ix² + 5ix³ + -5ix³ + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0

Combine like terms: -30ix² + -15ix² = -45ix²
(81 + -45ix² + 45ix² + 5ix³ + -5ix³ + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0

Combine like terms: -45ix² + 45ix² = 0
(81 + 0 + 5ix³ + -5ix³ + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0
(81 + 5ix³ + -5ix³ + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0

Combine like terms: 5ix³ + -5ix³ = 0
(81 + 0 + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0
(81 + -225i² + 150i²x + -25i²x² + -27x + -81x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0

Combine like terms: -27x + -81x = -108x
(81 + -225i² + 150i²x + -25i²x² + -108x + 27x² + 27x² + -9x³ + -3x³ + x⁴) = 0

Combine like terms: 27x² + 27x² = 54x²
(81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -9x³ + -3x³ + x⁴) = 0

Combine like terms: -9x³ + -3x³ = -12x³
(81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴) = 0

Solving
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-81' to each side of the equation.
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + -81 + x⁴ = 0 + -81

Reorder the terms:
81 + -81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 0 + -81

Combine like terms: 81 + -81 = 0
0 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 0 + -81
-225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 0 + -81

Combine like terms: 0 + -81 = -81
-225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = -81

Add '108x' to each side of the equation.
-225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + 108x + x⁴ = -81 + 108x

Reorder the terms:
-225i² + 150i²x + -25i²x² + -108x + 108x + 54x² + -12x³ + x⁴ = -81 + 108x

Combine like terms: -108x + 108x = 0
-225i² + 150i²x + -25i²x² + 0 + 54x² + -12x³ + x⁴ = -81 + 108x
-225i² + 150i²x + -25i²x² + 54x² + -12x³ + x⁴ = -81 + 108x

Add '-54x²' to each side of the equation.
-225i² + 150i²x + -25i²x² + 54x² + -12x³ + -54x² + x⁴ = -81 + 108x + -54x²

Reorder the terms:
-225i² + 150i²x + -25i²x² + 54x² + -54x² + -12x³ + x⁴ = -81 + 108x + -54x²

Combine like terms: 54x² + -54x² = 0
-225i² + 150i²x + -25i²x² + 0 + -12x³ + x⁴ = -81 + 108x + -54x²
-225i² + 150i²x + -25i²x² + -12x³ + x⁴ = -81 + 108x + -54x²

Add '12x³' to each side of the equation.
-225i² + 150i²x + -25i²x² + -12x³ + 12x³ + x⁴ = -81 + 108x + -54x² + 12x³

Combine like terms: -12x³ + 12x³ = 0
-225i² + 150i²x + -25i²x² + 0 + x⁴ = -81 + 108x + -54x² + 12x³
-225i² + 150i²x + -25i²x² + x⁴ = -81 + 108x + -54x² + 12x³

Add '-1x⁴' to each side of the equation.
-225i² + 150i²x + -25i²x² + x⁴ + -1x⁴ = -81 + 108x + -54x² + 12x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-225i² + 150i²x + -25i²x² + 0 = -81 + 108x + -54x² + 12x³ + -1x⁴
-225i² + 150i²x + -25i²x² = -81 + 108x + -54x² + 12x³ + -1x⁴

Reorder the terms:
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = -81 + 108x + -54x² + 12x³ + -1x⁴ + 81 + -108x + 54x² + -12x³ + x⁴

Reorder the terms:
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = -81 + 81 + 108x + -108x + -54x² + 54x² + 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: -81 + 81 = 0
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 0 + 108x + -108x + -54x² + 54x² + 12x³ + -12x³ + -1x⁴ + x⁴
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 108x + -108x + -54x² + 54x² + 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: 108x + -108x = 0
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 0 + -54x² + 54x² + 12x³ + -12x³ + -1x⁴ + x⁴
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = -54x² + 54x² + 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: -54x² + 54x² = 0
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 0 + 12x³ + -12x³ + -1x⁴ + x⁴
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: 12x³ + -12x³ = 0
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 0 + -1x⁴ + x⁴
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
81 + -225i² + 150i²x + -25i²x² + -108x + 54x² + -12x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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