(x-1)(x-3)(x-4)(x+5i)(x-5i)=0

Simple and best practice solution for (x-1)(x-3)(x-4)(x+5i)(x-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-1)(x-3)(x-4)(x+5i)(x-5i)=0 equation:

Simplifying
(x + -1)(x + -3)(x + -4)(x + 5i)(x + -5i) = 0

Reorder the terms:
(-1 + x)(x + -3)(x + -4)(x + 5i)(x + -5i) = 0

Reorder the terms:
(-1 + x)(-3 + x)(x + -4)(x + 5i)(x + -5i) = 0

Reorder the terms:
(-1 + x)(-3 + x)(-4 + x)(x + 5i)(x + -5i) = 0

Reorder the terms:
(-1 + x)(-3 + x)(-4 + x)(5i + x)(x + -5i) = 0

Reorder the terms:
(-1 + x)(-3 + x)(-4 + x)(5i + x)(-5i + x) = 0

Multiply (-1 + x) * (-3 + x)
(-1(-3 + x) + x(-3 + x))(-4 + x)(5i + x)(-5i + x) = 0
((-3 * -1 + x * -1) + x(-3 + x))(-4 + x)(5i + x)(-5i + x) = 0
((3 + -1x) + x(-3 + x))(-4 + x)(5i + x)(-5i + x) = 0
(3 + -1x + (-3 * x + x * x))(-4 + x)(5i + x)(-5i + x) = 0
(3 + -1x + (-3x + x²))(-4 + x)(5i + x)(-5i + x) = 0

Combine like terms: -1x + -3x = -4x
(3 + -4x + x²)(-4 + x)(5i + x)(-5i + x) = 0

Multiply (3 + -4x + x²) * (-4 + x)
(3(-4 + x) + -4x * (-4 + x) + x²(-4 + x))(5i + x)(-5i + x) = 0
((-4 * 3 + x * 3) + -4x * (-4 + x) + x²(-4 + x))(5i + x)(-5i + x) = 0
((-12 + 3x) + -4x * (-4 + x) + x²(-4 + x))(5i + x)(-5i + x) = 0
(-12 + 3x + (-4 * -4x + x * -4x) + x²(-4 + x))(5i + x)(-5i + x) = 0
(-12 + 3x + (16x + -4x²) + x²(-4 + x))(5i + x)(-5i + x) = 0
(-12 + 3x + 16x + -4x² + (-4 * x² + x * x²))(5i + x)(-5i + x) = 0
(-12 + 3x + 16x + -4x² + (-4x² + x³))(5i + x)(-5i + x) = 0

Combine like terms: 3x + 16x = 19x
(-12 + 19x + -4x² + -4x² + x³)(5i + x)(-5i + x) = 0

Combine like terms: -4x² + -4x² = -8x²
(-12 + 19x + -8x² + x³)(5i + x)(-5i + x) = 0

Multiply (-12 + 19x + -8x² + x³) * (5i + x)
(-12(5i + x) + 19x * (5i + x) + -8x² * (5i + x) + x³(5i + x))(-5i + x) = 0
((5i * -12 + x * -12) + 19x * (5i + x) + -8x² * (5i + x) + x³(5i + x))(-5i + x) = 0
((-60i + -12x) + 19x * (5i + x) + -8x² * (5i + x) + x³(5i + x))(-5i + x) = 0
(-60i + -12x + (5i * 19x + x * 19x) + -8x² * (5i + x) + x³(5i + x))(-5i + x) = 0
(-60i + -12x + (95ix + 19x²) + -8x² * (5i + x) + x³(5i + x))(-5i + x) = 0
(-60i + -12x + 95ix + 19x² + (5i * -8x² + x * -8x²) + x³(5i + x))(-5i + x) = 0
(-60i + -12x + 95ix + 19x² + (-40ix² + -8x³) + x³(5i + x))(-5i + x) = 0
(-60i + -12x + 95ix + 19x² + -40ix² + -8x³ + (5i * x³ + x * x³))(-5i + x) = 0
(-60i + -12x + 95ix + 19x² + -40ix² + -8x³ + (5ix³ + x⁴))(-5i + x) = 0

Reorder the terms:
(-60i + 95ix + -40ix² + 5ix³ + -12x + 19x² + -8x³ + x⁴)(-5i + x) = 0
(-60i + 95ix + -40ix² + 5ix³ + -12x + 19x² + -8x³ + x⁴)(-5i + x) = 0

Multiply (-60i + 95ix + -40ix² + 5ix³ + -12x + 19x² + -8x³ + x⁴) * (-5i + x)
(-60i * (-5i + x) + 95ix * (-5i + x) + -40ix² * (-5i + x) + 5ix³ * (-5i + x) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
((-5i * -60i + x * -60i) + 95ix * (-5i + x) + -40ix² * (-5i + x) + 5ix³ * (-5i + x) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0

Reorder the terms:
((-60ix + 300i²) + 95ix * (-5i + x) + -40ix² * (-5i + x) + 5ix³ * (-5i + x) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
((-60ix + 300i²) + 95ix * (-5i + x) + -40ix² * (-5i + x) + 5ix³ * (-5i + x) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + (-5i * 95ix + x * 95ix) + -40ix² * (-5i + x) + 5ix³ * (-5i + x) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0

Reorder the terms:
(-60ix + 300i² + (95ix² + -475i²x) + -40ix² * (-5i + x) + 5ix³ * (-5i + x) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + (95ix² + -475i²x) + -40ix² * (-5i + x) + 5ix³ * (-5i + x) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + (-5i * -40ix² + x * -40ix²) + 5ix³ * (-5i + x) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0

Reorder the terms:
(-60ix + 300i² + 95ix² + -475i²x + (-40ix³ + 200i²x²) + 5ix³ * (-5i + x) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + (-40ix³ + 200i²x²) + 5ix³ * (-5i + x) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + (-5i * 5ix³ + x * 5ix³) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0

Reorder the terms:
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + (5ix⁴ + -25i²x³) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + (5ix⁴ + -25i²x³) + -12x * (-5i + x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + 5ix⁴ + -25i²x³ + (-5i * -12x + x * -12x) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + 5ix⁴ + -25i²x³ + (60ix + -12x²) + 19x² * (-5i + x) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + 5ix⁴ + -25i²x³ + 60ix + -12x² + (-5i * 19x² + x * 19x²) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + 5ix⁴ + -25i²x³ + 60ix + -12x² + (-95ix² + 19x³) + -8x³ * (-5i + x) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + 5ix⁴ + -25i²x³ + 60ix + -12x² + -95ix² + 19x³ + (-5i * -8x³ + x * -8x³) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + 5ix⁴ + -25i²x³ + 60ix + -12x² + -95ix² + 19x³ + (40ix³ + -8x⁴) + x⁴(-5i + x)) = 0
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + 5ix⁴ + -25i²x³ + 60ix + -12x² + -95ix² + 19x³ + 40ix³ + -8x⁴ + (-5i * x⁴ + x * x⁴)) = 0
(-60ix + 300i² + 95ix² + -475i²x + -40ix³ + 200i²x² + 5ix⁴ + -25i²x³ + 60ix + -12x² + -95ix² + 19x³ + 40ix³ + -8x⁴ + (-5ix⁴ + x⁵)) = 0

Reorder the terms:
(-60ix + 60ix + 95ix² + -95ix² + -40ix³ + 40ix³ + 5ix⁴ + -5ix⁴ + 300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵) = 0

Combine like terms: -60ix + 60ix = 0
(0 + 95ix² + -95ix² + -40ix³ + 40ix³ + 5ix⁴ + -5ix⁴ + 300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵) = 0
(95ix² + -95ix² + -40ix³ + 40ix³ + 5ix⁴ + -5ix⁴ + 300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵) = 0

Combine like terms: 95ix² + -95ix² = 0
(0 + -40ix³ + 40ix³ + 5ix⁴ + -5ix⁴ + 300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵) = 0
(-40ix³ + 40ix³ + 5ix⁴ + -5ix⁴ + 300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵) = 0

Combine like terms: -40ix³ + 40ix³ = 0
(0 + 5ix⁴ + -5ix⁴ + 300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵) = 0
(5ix⁴ + -5ix⁴ + 300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵) = 0

Combine like terms: 5ix⁴ + -5ix⁴ = 0
(0 + 300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵) = 0
(300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵) = 0

Solving
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵ = 0

Solving for variable 'i'.

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

Add '12x²' to each side of the equation.
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + 12x² + x⁵ = 0 + 12x²

Reorder the terms:
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 12x² + 19x³ + -8x⁴ + x⁵ = 0 + 12x²

Combine like terms: -12x² + 12x² = 0
300i² + -475i²x + 200i²x² + -25i²x³ + 0 + 19x³ + -8x⁴ + x⁵ = 0 + 12x²
300i² + -475i²x + 200i²x² + -25i²x³ + 19x³ + -8x⁴ + x⁵ = 0 + 12x²
Remove the zero:
300i² + -475i²x + 200i²x² + -25i²x³ + 19x³ + -8x⁴ + x⁵ = 12x²

Add '-19x³' to each side of the equation.
300i² + -475i²x + 200i²x² + -25i²x³ + 19x³ + -8x⁴ + -19x³ + x⁵ = 12x² + -19x³

Reorder the terms:
300i² + -475i²x + 200i²x² + -25i²x³ + 19x³ + -19x³ + -8x⁴ + x⁵ = 12x² + -19x³

Combine like terms: 19x³ + -19x³ = 0
300i² + -475i²x + 200i²x² + -25i²x³ + 0 + -8x⁴ + x⁵ = 12x² + -19x³
300i² + -475i²x + 200i²x² + -25i²x³ + -8x⁴ + x⁵ = 12x² + -19x³

Add '8x⁴' to each side of the equation.
300i² + -475i²x + 200i²x² + -25i²x³ + -8x⁴ + 8x⁴ + x⁵ = 12x² + -19x³ + 8x⁴

Combine like terms: -8x⁴ + 8x⁴ = 0
300i² + -475i²x + 200i²x² + -25i²x³ + 0 + x⁵ = 12x² + -19x³ + 8x⁴
300i² + -475i²x + 200i²x² + -25i²x³ + x⁵ = 12x² + -19x³ + 8x⁴

Add '-1x⁵' to each side of the equation.
300i² + -475i²x + 200i²x² + -25i²x³ + x⁵ + -1x⁵ = 12x² + -19x³ + 8x⁴ + -1x⁵

Combine like terms: x⁵ + -1x⁵ = 0
300i² + -475i²x + 200i²x² + -25i²x³ + 0 = 12x² + -19x³ + 8x⁴ + -1x⁵
300i² + -475i²x + 200i²x² + -25i²x³ = 12x² + -19x³ + 8x⁴ + -1x⁵

Reorder the terms:
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵ = 12x² + -12x² + -19x³ + 19x³ + 8x⁴ + -8x⁴ + -1x⁵ + x⁵

Combine like terms: 12x² + -12x² = 0
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵ = 0 + -19x³ + 19x³ + 8x⁴ + -8x⁴ + -1x⁵ + x⁵
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵ = -19x³ + 19x³ + 8x⁴ + -8x⁴ + -1x⁵ + x⁵

Combine like terms: -19x³ + 19x³ = 0
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵ = 0 + 8x⁴ + -8x⁴ + -1x⁵ + x⁵
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵ = 8x⁴ + -8x⁴ + -1x⁵ + x⁵

Combine like terms: 8x⁴ + -8x⁴ = 0
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵ = 0 + -1x⁵ + x⁵
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵ = -1x⁵ + x⁵

Combine like terms: -1x⁵ + x⁵ = 0
300i² + -475i²x + 200i²x² + -25i²x³ + -12x² + 19x³ + -8x⁴ + x⁵ = 0

The solution to this equation could not be determined.

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(x-1)(x-3)(x-4)(x+5i)(x-5i)=0

Simple and best practice solution for (x-1)(x-3)(x-4)(x+5i)(x-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-1)(x-3)(x-4)(x+5i)(x-5i)=0 equation:

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