(x-2)(x-(5+i))(x-(5-i))=0

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Solution for (x-2)(x-(5+i))(x-(5-i))=0 equation:

Simplifying
(x + -2)(x + -1(5 + i))(x + -1(5 + -1i)) = 0

Reorder the terms:
(-2 + x)(x + -1(5 + i))(x + -1(5 + -1i)) = 0
(-2 + x)(x + (5 * -1 + i * -1))(x + -1(5 + -1i)) = 0
(-2 + x)(x + (-5 + -1i))(x + -1(5 + -1i)) = 0

Reorder the terms:
(-2 + x)(-5 + -1i + x)(x + -1(5 + -1i)) = 0
(-2 + x)(-5 + -1i + x)(x + (5 * -1 + -1i * -1)) = 0
(-2 + x)(-5 + -1i + x)(x + (-5 + 1i)) = 0

Reorder the terms:
(-2 + x)(-5 + -1i + x)(-5 + 1i + x) = 0

Multiply (-2 + x) * (-5 + -1i + x)
(-2(-5 + -1i + x) + x(-5 + -1i + x))(-5 + 1i + x) = 0
((-5 * -2 + -1i * -2 + x * -2) + x(-5 + -1i + x))(-5 + 1i + x) = 0
((10 + 2i + -2x) + x(-5 + -1i + x))(-5 + 1i + x) = 0
(10 + 2i + -2x + (-5 * x + -1i * x + x * x))(-5 + 1i + x) = 0

Reorder the terms:
(10 + 2i + -2x + (-1ix + -5x + x²))(-5 + 1i + x) = 0
(10 + 2i + -2x + (-1ix + -5x + x²))(-5 + 1i + x) = 0

Reorder the terms:
(10 + 2i + -1ix + -2x + -5x + x²)(-5 + 1i + x) = 0

Combine like terms: -2x + -5x = -7x
(10 + 2i + -1ix + -7x + x²)(-5 + 1i + x) = 0

Multiply (10 + 2i + -1ix + -7x + x²) * (-5 + 1i + x)
(10(-5 + 1i + x) + 2i * (-5 + 1i + x) + -1ix * (-5 + 1i + x) + -7x * (-5 + 1i + x) + x²(-5 + 1i + x)) = 0
((-5 * 10 + 1i * 10 + x * 10) + 2i * (-5 + 1i + x) + -1ix * (-5 + 1i + x) + -7x * (-5 + 1i + x) + x²(-5 + 1i + x)) = 0
((-50 + 10i + 10x) + 2i * (-5 + 1i + x) + -1ix * (-5 + 1i + x) + -7x * (-5 + 1i + x) + x²(-5 + 1i + x)) = 0
(-50 + 10i + 10x + (-5 * 2i + 1i * 2i + x * 2i) + -1ix * (-5 + 1i + x) + -7x * (-5 + 1i + x) + x²(-5 + 1i + x)) = 0

Reorder the terms:
(-50 + 10i + 10x + (-10i + 2ix + 2i²) + -1ix * (-5 + 1i + x) + -7x * (-5 + 1i + x) + x²(-5 + 1i + x)) = 0
(-50 + 10i + 10x + (-10i + 2ix + 2i²) + -1ix * (-5 + 1i + x) + -7x * (-5 + 1i + x) + x²(-5 + 1i + x)) = 0
(-50 + 10i + 10x + -10i + 2ix + 2i² + (-5 * -1ix + 1i * -1ix + x * -1ix) + -7x * (-5 + 1i + x) + x²(-5 + 1i + x)) = 0

Reorder the terms:
(-50 + 10i + 10x + -10i + 2ix + 2i² + (5ix + -1ix² + -1i²x) + -7x * (-5 + 1i + x) + x²(-5 + 1i + x)) = 0
(-50 + 10i + 10x + -10i + 2ix + 2i² + (5ix + -1ix² + -1i²x) + -7x * (-5 + 1i + x) + x²(-5 + 1i + x)) = 0
(-50 + 10i + 10x + -10i + 2ix + 2i² + 5ix + -1ix² + -1i²x + (-5 * -7x + 1i * -7x + x * -7x) + x²(-5 + 1i + x)) = 0

Reorder the terms:
(-50 + 10i + 10x + -10i + 2ix + 2i² + 5ix + -1ix² + -1i²x + (-7ix + 35x + -7x²) + x²(-5 + 1i + x)) = 0
(-50 + 10i + 10x + -10i + 2ix + 2i² + 5ix + -1ix² + -1i²x + (-7ix + 35x + -7x²) + x²(-5 + 1i + x)) = 0
(-50 + 10i + 10x + -10i + 2ix + 2i² + 5ix + -1ix² + -1i²x + -7ix + 35x + -7x² + (-5 * x² + 1i * x² + x * x²)) = 0

Reorder the terms:
(-50 + 10i + 10x + -10i + 2ix + 2i² + 5ix + -1ix² + -1i²x + -7ix + 35x + -7x² + (1ix² + -5x² + x³)) = 0
(-50 + 10i + 10x + -10i + 2ix + 2i² + 5ix + -1ix² + -1i²x + -7ix + 35x + -7x² + (1ix² + -5x² + x³)) = 0

Reorder the terms:
(-50 + 10i + -10i + 2ix + 5ix + -7ix + -1ix² + 1ix² + 2i² + -1i²x + 10x + 35x + -7x² + -5x² + x³) = 0

Combine like terms: 10i + -10i = 0
(-50 + 0 + 2ix + 5ix + -7ix + -1ix² + 1ix² + 2i² + -1i²x + 10x + 35x + -7x² + -5x² + x³) = 0
(-50 + 2ix + 5ix + -7ix + -1ix² + 1ix² + 2i² + -1i²x + 10x + 35x + -7x² + -5x² + x³) = 0

Combine like terms: 2ix + 5ix = 7ix
(-50 + 7ix + -7ix + -1ix² + 1ix² + 2i² + -1i²x + 10x + 35x + -7x² + -5x² + x³) = 0

Combine like terms: 7ix + -7ix = 0
(-50 + 0 + -1ix² + 1ix² + 2i² + -1i²x + 10x + 35x + -7x² + -5x² + x³) = 0
(-50 + -1ix² + 1ix² + 2i² + -1i²x + 10x + 35x + -7x² + -5x² + x³) = 0

Combine like terms: -1ix² + 1ix² = 0
(-50 + 0 + 2i² + -1i²x + 10x + 35x + -7x² + -5x² + x³) = 0
(-50 + 2i² + -1i²x + 10x + 35x + -7x² + -5x² + x³) = 0

Combine like terms: 10x + 35x = 45x
(-50 + 2i² + -1i²x + 45x + -7x² + -5x² + x³) = 0

Combine like terms: -7x² + -5x² = -12x²
(-50 + 2i² + -1i²x + 45x + -12x² + x³) = 0

Solving
-50 + 2i² + -1i²x + 45x + -12x² + x³ = 0

Solving for variable 'i'.

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

Add '50' to each side of the equation.
-50 + 2i² + -1i²x + 45x + -12x² + 50 + x³ = 0 + 50

Reorder the terms:
-50 + 50 + 2i² + -1i²x + 45x + -12x² + x³ = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 2i² + -1i²x + 45x + -12x² + x³ = 0 + 50
2i² + -1i²x + 45x + -12x² + x³ = 0 + 50

Combine like terms: 0 + 50 = 50
2i² + -1i²x + 45x + -12x² + x³ = 50

Add '-45x' to each side of the equation.
2i² + -1i²x + 45x + -12x² + -45x + x³ = 50 + -45x

Reorder the terms:
2i² + -1i²x + 45x + -45x + -12x² + x³ = 50 + -45x

Combine like terms: 45x + -45x = 0
2i² + -1i²x + 0 + -12x² + x³ = 50 + -45x
2i² + -1i²x + -12x² + x³ = 50 + -45x

Add '12x²' to each side of the equation.
2i² + -1i²x + -12x² + 12x² + x³ = 50 + -45x + 12x²

Combine like terms: -12x² + 12x² = 0
2i² + -1i²x + 0 + x³ = 50 + -45x + 12x²
2i² + -1i²x + x³ = 50 + -45x + 12x²

Add '-1x³' to each side of the equation.
2i² + -1i²x + x³ + -1x³ = 50 + -45x + 12x² + -1x³

Combine like terms: x³ + -1x³ = 0
2i² + -1i²x + 0 = 50 + -45x + 12x² + -1x³
2i² + -1i²x = 50 + -45x + 12x² + -1x³

Reorder the terms:
-50 + 2i² + -1i²x + 45x + -12x² + x³ = 50 + -45x + 12x² + -1x³ + -50 + 45x + -12x² + x³

Reorder the terms:
-50 + 2i² + -1i²x + 45x + -12x² + x³ = 50 + -50 + -45x + 45x + 12x² + -12x² + -1x³ + x³

Combine like terms: 50 + -50 = 0
-50 + 2i² + -1i²x + 45x + -12x² + x³ = 0 + -45x + 45x + 12x² + -12x² + -1x³ + x³
-50 + 2i² + -1i²x + 45x + -12x² + x³ = -45x + 45x + 12x² + -12x² + -1x³ + x³

Combine like terms: -45x + 45x = 0
-50 + 2i² + -1i²x + 45x + -12x² + x³ = 0 + 12x² + -12x² + -1x³ + x³
-50 + 2i² + -1i²x + 45x + -12x² + x³ = 12x² + -12x² + -1x³ + x³

Combine like terms: 12x² + -12x² = 0
-50 + 2i² + -1i²x + 45x + -12x² + x³ = 0 + -1x³ + x³
-50 + 2i² + -1i²x + 45x + -12x² + x³ = -1x³ + x³

Combine like terms: -1x³ + x³ = 0
-50 + 2i² + -1i²x + 45x + -12x² + x³ = 0

The solution to this equation could not be determined.

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(x-2)(x-(5+i))(x-(5-i))=0

Simple and best practice solution for (x-2)(x-(5+i))(x-(5-i))=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-(5+i))(x-(5-i))=0 equation:

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