(x-6)(x-3-4i)(x-3+4i)=0

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Solution for (x-6)(x-3-4i)(x-3+4i)=0 equation:

Simplifying
(x + -6)(x + -3 + -4i)(x + -3 + 4i) = 0

Reorder the terms:
(-6 + x)(x + -3 + -4i)(x + -3 + 4i) = 0

Reorder the terms:
(-6 + x)(-3 + -4i + x)(x + -3 + 4i) = 0

Reorder the terms:
(-6 + x)(-3 + -4i + x)(-3 + 4i + x) = 0

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

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

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

Combine like terms: -6x + -3x = -9x
(18 + 24i + -4ix + -9x + x²)(-3 + 4i + x) = 0

Multiply (18 + 24i + -4ix + -9x + x²) * (-3 + 4i + x)
(18(-3 + 4i + x) + 24i * (-3 + 4i + x) + -4ix * (-3 + 4i + x) + -9x * (-3 + 4i + x) + x²(-3 + 4i + x)) = 0
((-3 * 18 + 4i * 18 + x * 18) + 24i * (-3 + 4i + x) + -4ix * (-3 + 4i + x) + -9x * (-3 + 4i + x) + x²(-3 + 4i + x)) = 0
((-54 + 72i + 18x) + 24i * (-3 + 4i + x) + -4ix * (-3 + 4i + x) + -9x * (-3 + 4i + x) + x²(-3 + 4i + x)) = 0
(-54 + 72i + 18x + (-3 * 24i + 4i * 24i + x * 24i) + -4ix * (-3 + 4i + x) + -9x * (-3 + 4i + x) + x²(-3 + 4i + x)) = 0

Reorder the terms:
(-54 + 72i + 18x + (-72i + 24ix + 96i²) + -4ix * (-3 + 4i + x) + -9x * (-3 + 4i + x) + x²(-3 + 4i + x)) = 0
(-54 + 72i + 18x + (-72i + 24ix + 96i²) + -4ix * (-3 + 4i + x) + -9x * (-3 + 4i + x) + x²(-3 + 4i + x)) = 0
(-54 + 72i + 18x + -72i + 24ix + 96i² + (-3 * -4ix + 4i * -4ix + x * -4ix) + -9x * (-3 + 4i + x) + x²(-3 + 4i + x)) = 0

Reorder the terms:
(-54 + 72i + 18x + -72i + 24ix + 96i² + (12ix + -4ix² + -16i²x) + -9x * (-3 + 4i + x) + x²(-3 + 4i + x)) = 0
(-54 + 72i + 18x + -72i + 24ix + 96i² + (12ix + -4ix² + -16i²x) + -9x * (-3 + 4i + x) + x²(-3 + 4i + x)) = 0
(-54 + 72i + 18x + -72i + 24ix + 96i² + 12ix + -4ix² + -16i²x + (-3 * -9x + 4i * -9x + x * -9x) + x²(-3 + 4i + x)) = 0

Reorder the terms:
(-54 + 72i + 18x + -72i + 24ix + 96i² + 12ix + -4ix² + -16i²x + (-36ix + 27x + -9x²) + x²(-3 + 4i + x)) = 0
(-54 + 72i + 18x + -72i + 24ix + 96i² + 12ix + -4ix² + -16i²x + (-36ix + 27x + -9x²) + x²(-3 + 4i + x)) = 0
(-54 + 72i + 18x + -72i + 24ix + 96i² + 12ix + -4ix² + -16i²x + -36ix + 27x + -9x² + (-3 * x² + 4i * x² + x * x²)) = 0

Reorder the terms:
(-54 + 72i + 18x + -72i + 24ix + 96i² + 12ix + -4ix² + -16i²x + -36ix + 27x + -9x² + (4ix² + -3x² + x³)) = 0
(-54 + 72i + 18x + -72i + 24ix + 96i² + 12ix + -4ix² + -16i²x + -36ix + 27x + -9x² + (4ix² + -3x² + x³)) = 0

Reorder the terms:
(-54 + 72i + -72i + 24ix + 12ix + -36ix + -4ix² + 4ix² + 96i² + -16i²x + 18x + 27x + -9x² + -3x² + x³) = 0

Combine like terms: 72i + -72i = 0
(-54 + 0 + 24ix + 12ix + -36ix + -4ix² + 4ix² + 96i² + -16i²x + 18x + 27x + -9x² + -3x² + x³) = 0
(-54 + 24ix + 12ix + -36ix + -4ix² + 4ix² + 96i² + -16i²x + 18x + 27x + -9x² + -3x² + x³) = 0

Combine like terms: 24ix + 12ix = 36ix
(-54 + 36ix + -36ix + -4ix² + 4ix² + 96i² + -16i²x + 18x + 27x + -9x² + -3x² + x³) = 0

Combine like terms: 36ix + -36ix = 0
(-54 + 0 + -4ix² + 4ix² + 96i² + -16i²x + 18x + 27x + -9x² + -3x² + x³) = 0
(-54 + -4ix² + 4ix² + 96i² + -16i²x + 18x + 27x + -9x² + -3x² + x³) = 0

Combine like terms: -4ix² + 4ix² = 0
(-54 + 0 + 96i² + -16i²x + 18x + 27x + -9x² + -3x² + x³) = 0
(-54 + 96i² + -16i²x + 18x + 27x + -9x² + -3x² + x³) = 0

Combine like terms: 18x + 27x = 45x
(-54 + 96i² + -16i²x + 45x + -9x² + -3x² + x³) = 0

Combine like terms: -9x² + -3x² = -12x²
(-54 + 96i² + -16i²x + 45x + -12x² + x³) = 0

Solving
-54 + 96i² + -16i²x + 45x + -12x² + x³ = 0

Solving for variable 'i'.

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

Add '54' to each side of the equation.
-54 + 96i² + -16i²x + 45x + -12x² + 54 + x³ = 0 + 54

Reorder the terms:
-54 + 54 + 96i² + -16i²x + 45x + -12x² + x³ = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 96i² + -16i²x + 45x + -12x² + x³ = 0 + 54
96i² + -16i²x + 45x + -12x² + x³ = 0 + 54

Combine like terms: 0 + 54 = 54
96i² + -16i²x + 45x + -12x² + x³ = 54

Add '-45x' to each side of the equation.
96i² + -16i²x + 45x + -12x² + -45x + x³ = 54 + -45x

Reorder the terms:
96i² + -16i²x + 45x + -45x + -12x² + x³ = 54 + -45x

Combine like terms: 45x + -45x = 0
96i² + -16i²x + 0 + -12x² + x³ = 54 + -45x
96i² + -16i²x + -12x² + x³ = 54 + -45x

Add '12x²' to each side of the equation.
96i² + -16i²x + -12x² + 12x² + x³ = 54 + -45x + 12x²

Combine like terms: -12x² + 12x² = 0
96i² + -16i²x + 0 + x³ = 54 + -45x + 12x²
96i² + -16i²x + x³ = 54 + -45x + 12x²

Add '-1x³' to each side of the equation.
96i² + -16i²x + x³ + -1x³ = 54 + -45x + 12x² + -1x³

Combine like terms: x³ + -1x³ = 0
96i² + -16i²x + 0 = 54 + -45x + 12x² + -1x³
96i² + -16i²x = 54 + -45x + 12x² + -1x³

Reorder the terms:
-54 + 96i² + -16i²x + 45x + -12x² + x³ = 54 + -45x + 12x² + -1x³ + -54 + 45x + -12x² + x³

Reorder the terms:
-54 + 96i² + -16i²x + 45x + -12x² + x³ = 54 + -54 + -45x + 45x + 12x² + -12x² + -1x³ + x³

Combine like terms: 54 + -54 = 0
-54 + 96i² + -16i²x + 45x + -12x² + x³ = 0 + -45x + 45x + 12x² + -12x² + -1x³ + x³
-54 + 96i² + -16i²x + 45x + -12x² + x³ = -45x + 45x + 12x² + -12x² + -1x³ + x³

Combine like terms: -45x + 45x = 0
-54 + 96i² + -16i²x + 45x + -12x² + x³ = 0 + 12x² + -12x² + -1x³ + x³
-54 + 96i² + -16i²x + 45x + -12x² + x³ = 12x² + -12x² + -1x³ + x³

Combine like terms: 12x² + -12x² = 0
-54 + 96i² + -16i²x + 45x + -12x² + x³ = 0 + -1x³ + x³
-54 + 96i² + -16i²x + 45x + -12x² + x³ = -1x³ + x³

Combine like terms: -1x³ + x³ = 0
-54 + 96i² + -16i²x + 45x + -12x² + x³ = 0

The solution to this equation could not be determined.

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(x-6)(x-3-4i)(x-3+4i)=0

Simple and best practice solution for (x-6)(x-3-4i)(x-3+4i)=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-6)(x-3-4i)(x-3+4i)=0 equation:

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