(x-5)(x+3)(x-(2+5i))(x-(2+5i))=0

Simple and best practice solution for (x-5)(x+3)(x-(2+5i))(x-(2+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-5)(x+3)(x-(2+5i))(x-(2+5i))=0 equation:

Simplifying
(x + -5)(x + 3)(x + -1(2 + 5i))(x + -1(2 + 5i)) = 0

Reorder the terms:
(-5 + x)(x + 3)(x + -1(2 + 5i))(x + -1(2 + 5i)) = 0

Reorder the terms:
(-5 + x)(3 + x)(x + -1(2 + 5i))(x + -1(2 + 5i)) = 0
(-5 + x)(3 + x)(x + (2 * -1 + 5i * -1))(x + -1(2 + 5i)) = 0
(-5 + x)(3 + x)(x + (-2 + -5i))(x + -1(2 + 5i)) = 0

Reorder the terms:
(-5 + x)(3 + x)(-2 + -5i + x)(x + -1(2 + 5i)) = 0
(-5 + x)(3 + x)(-2 + -5i + x)(x + (2 * -1 + 5i * -1)) = 0
(-5 + x)(3 + x)(-2 + -5i + x)(x + (-2 + -5i)) = 0

Reorder the terms:
(-5 + x)(3 + x)(-2 + -5i + x)(-2 + -5i + x) = 0

Multiply (-5 + x) * (3 + x)
(-5(3 + x) + x(3 + x))(-2 + -5i + x)(-2 + -5i + x) = 0
((3 * -5 + x * -5) + x(3 + x))(-2 + -5i + x)(-2 + -5i + x) = 0
((-15 + -5x) + x(3 + x))(-2 + -5i + x)(-2 + -5i + x) = 0
(-15 + -5x + (3 * x + x * x))(-2 + -5i + x)(-2 + -5i + x) = 0
(-15 + -5x + (3x + x²))(-2 + -5i + x)(-2 + -5i + x) = 0

Combine like terms: -5x + 3x = -2x
(-15 + -2x + x²)(-2 + -5i + x)(-2 + -5i + x) = 0

Multiply (-15 + -2x + x²) * (-2 + -5i + x)
(-15(-2 + -5i + x) + -2x * (-2 + -5i + x) + x²(-2 + -5i + x))(-2 + -5i + x) = 0
((-2 * -15 + -5i * -15 + x * -15) + -2x * (-2 + -5i + x) + x²(-2 + -5i + x))(-2 + -5i + x) = 0
((30 + 75i + -15x) + -2x * (-2 + -5i + x) + x²(-2 + -5i + x))(-2 + -5i + x) = 0
(30 + 75i + -15x + (-2 * -2x + -5i * -2x + x * -2x) + x²(-2 + -5i + x))(-2 + -5i + x) = 0

Reorder the terms:
(30 + 75i + -15x + (10ix + 4x + -2x²) + x²(-2 + -5i + x))(-2 + -5i + x) = 0
(30 + 75i + -15x + (10ix + 4x + -2x²) + x²(-2 + -5i + x))(-2 + -5i + x) = 0
(30 + 75i + -15x + 10ix + 4x + -2x² + (-2 * x² + -5i * x² + x * x²))(-2 + -5i + x) = 0

Reorder the terms:
(30 + 75i + -15x + 10ix + 4x + -2x² + (-5ix² + -2x² + x³))(-2 + -5i + x) = 0
(30 + 75i + -15x + 10ix + 4x + -2x² + (-5ix² + -2x² + x³))(-2 + -5i + x) = 0

Reorder the terms:
(30 + 75i + 10ix + -5ix² + -15x + 4x + -2x² + -2x² + x³)(-2 + -5i + x) = 0

Combine like terms: -15x + 4x = -11x
(30 + 75i + 10ix + -5ix² + -11x + -2x² + -2x² + x³)(-2 + -5i + x) = 0

Combine like terms: -2x² + -2x² = -4x²
(30 + 75i + 10ix + -5ix² + -11x + -4x² + x³)(-2 + -5i + x) = 0

Multiply (30 + 75i + 10ix + -5ix² + -11x + -4x² + x³) * (-2 + -5i + x)
(30(-2 + -5i + x) + 75i * (-2 + -5i + x) + 10ix * (-2 + -5i + x) + -5ix² * (-2 + -5i + x) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
((-2 * 30 + -5i * 30 + x * 30) + 75i * (-2 + -5i + x) + 10ix * (-2 + -5i + x) + -5ix² * (-2 + -5i + x) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
((-60 + -150i + 30x) + 75i * (-2 + -5i + x) + 10ix * (-2 + -5i + x) + -5ix² * (-2 + -5i + x) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + (-2 * 75i + -5i * 75i + x * 75i) + 10ix * (-2 + -5i + x) + -5ix² * (-2 + -5i + x) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0

Reorder the terms:
(-60 + -150i + 30x + (-150i + 75ix + -375i²) + 10ix * (-2 + -5i + x) + -5ix² * (-2 + -5i + x) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + (-150i + 75ix + -375i²) + 10ix * (-2 + -5i + x) + -5ix² * (-2 + -5i + x) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + -150i + 75ix + -375i² + (-2 * 10ix + -5i * 10ix + x * 10ix) + -5ix² * (-2 + -5i + x) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0

Reorder the terms:
(-60 + -150i + 30x + -150i + 75ix + -375i² + (-20ix + 10ix² + -50i²x) + -5ix² * (-2 + -5i + x) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + -150i + 75ix + -375i² + (-20ix + 10ix² + -50i²x) + -5ix² * (-2 + -5i + x) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + (-2 * -5ix² + -5i * -5ix² + x * -5ix²) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0

Reorder the terms:
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + (10ix² + -5ix³ + 25i²x²) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + (10ix² + -5ix³ + 25i²x²) + -11x * (-2 + -5i + x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + 10ix² + -5ix³ + 25i²x² + (-2 * -11x + -5i * -11x + x * -11x) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0

Reorder the terms:
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + 10ix² + -5ix³ + 25i²x² + (55ix + 22x + -11x²) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + 10ix² + -5ix³ + 25i²x² + (55ix + 22x + -11x²) + -4x² * (-2 + -5i + x) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + 10ix² + -5ix³ + 25i²x² + 55ix + 22x + -11x² + (-2 * -4x² + -5i * -4x² + x * -4x²) + x³(-2 + -5i + x)) = 0

Reorder the terms:
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + 10ix² + -5ix³ + 25i²x² + 55ix + 22x + -11x² + (20ix² + 8x² + -4x³) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + 10ix² + -5ix³ + 25i²x² + 55ix + 22x + -11x² + (20ix² + 8x² + -4x³) + x³(-2 + -5i + x)) = 0
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + 10ix² + -5ix³ + 25i²x² + 55ix + 22x + -11x² + 20ix² + 8x² + -4x³ + (-2 * x³ + -5i * x³ + x * x³)) = 0

Reorder the terms:
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + 10ix² + -5ix³ + 25i²x² + 55ix + 22x + -11x² + 20ix² + 8x² + -4x³ + (-5ix³ + -2x³ + x⁴)) = 0
(-60 + -150i + 30x + -150i + 75ix + -375i² + -20ix + 10ix² + -50i²x + 10ix² + -5ix³ + 25i²x² + 55ix + 22x + -11x² + 20ix² + 8x² + -4x³ + (-5ix³ + -2x³ + x⁴)) = 0

Reorder the terms:
(-60 + -150i + -150i + 75ix + -20ix + 55ix + 10ix² + 10ix² + 20ix² + -5ix³ + -5ix³ + -375i² + -50i²x + 25i²x² + 30x + 22x + -11x² + 8x² + -4x³ + -2x³ + x⁴) = 0

Combine like terms: -150i + -150i = -300i
(-60 + -300i + 75ix + -20ix + 55ix + 10ix² + 10ix² + 20ix² + -5ix³ + -5ix³ + -375i² + -50i²x + 25i²x² + 30x + 22x + -11x² + 8x² + -4x³ + -2x³ + x⁴) = 0

Combine like terms: 75ix + -20ix = 55ix
(-60 + -300i + 55ix + 55ix + 10ix² + 10ix² + 20ix² + -5ix³ + -5ix³ + -375i² + -50i²x + 25i²x² + 30x + 22x + -11x² + 8x² + -4x³ + -2x³ + x⁴) = 0

Combine like terms: 55ix + 55ix = 110ix
(-60 + -300i + 110ix + 10ix² + 10ix² + 20ix² + -5ix³ + -5ix³ + -375i² + -50i²x + 25i²x² + 30x + 22x + -11x² + 8x² + -4x³ + -2x³ + x⁴) = 0

Combine like terms: 10ix² + 10ix² = 20ix²
(-60 + -300i + 110ix + 20ix² + 20ix² + -5ix³ + -5ix³ + -375i² + -50i²x + 25i²x² + 30x + 22x + -11x² + 8x² + -4x³ + -2x³ + x⁴) = 0

Combine like terms: 20ix² + 20ix² = 40ix²
(-60 + -300i + 110ix + 40ix² + -5ix³ + -5ix³ + -375i² + -50i²x + 25i²x² + 30x + 22x + -11x² + 8x² + -4x³ + -2x³ + x⁴) = 0

Combine like terms: -5ix³ + -5ix³ = -10ix³
(-60 + -300i + 110ix + 40ix² + -10ix³ + -375i² + -50i²x + 25i²x² + 30x + 22x + -11x² + 8x² + -4x³ + -2x³ + x⁴) = 0

Combine like terms: 30x + 22x = 52x
(-60 + -300i + 110ix + 40ix² + -10ix³ + -375i² + -50i²x + 25i²x² + 52x + -11x² + 8x² + -4x³ + -2x³ + x⁴) = 0

Combine like terms: -11x² + 8x² = -3x²
(-60 + -300i + 110ix + 40ix² + -10ix³ + -375i² + -50i²x + 25i²x² + 52x + -3x² + -4x³ + -2x³ + x⁴) = 0

Combine like terms: -4x³ + -2x³ = -6x³
(-60 + -300i + 110ix + 40ix² + -10ix³ + -375i² + -50i²x + 25i²x² + 52x + -3x² + -6x³ + x⁴) = 0

Solving
-60 + -300i + 110ix + 40ix² + -10ix³ + -375i² + -50i²x + 25i²x² + 52x + -3x² + -6x³ + x⁴ = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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(x-5)(x+3)(x-(2+5i))(x-(2+5i))=0

Simple and best practice solution for (x-5)(x+3)(x-(2+5i))(x-(2+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-5)(x+3)(x-(2+5i))(x-(2+5i))=0 equation:

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