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

Simple and best practice solution for (x+1)(x+1)(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+1)(x+1)(x-2-5i)(x-2+5i)=0 equation:

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

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

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

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

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

Multiply (1 + x) * (1 + x)
(1(1 + x) + x(1 + x))(-2 + -5i + x)(-2 + 5i + x) = 0
((1 * 1 + x * 1) + x(1 + x))(-2 + -5i + x)(-2 + 5i + x) = 0
((1 + 1x) + x(1 + x))(-2 + -5i + x)(-2 + 5i + x) = 0
(1 + 1x + (1 * x + x * x))(-2 + -5i + x)(-2 + 5i + x) = 0
(1 + 1x + (1x + x²))(-2 + -5i + x)(-2 + 5i + x) = 0

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

Multiply (1 + 2x + x²) * (-2 + -5i + x)
(1(-2 + -5i + x) + 2x * (-2 + -5i + x) + x²(-2 + -5i + x))(-2 + 5i + x) = 0
((-2 * 1 + -5i * 1 + x * 1) + 2x * (-2 + -5i + x) + x²(-2 + -5i + x))(-2 + 5i + x) = 0
((-2 + -5i + 1x) + 2x * (-2 + -5i + x) + x²(-2 + -5i + x))(-2 + 5i + x) = 0
(-2 + -5i + 1x + (-2 * 2x + -5i * 2x + x * 2x) + x²(-2 + -5i + x))(-2 + 5i + x) = 0

Reorder the terms:
(-2 + -5i + 1x + (-10ix + -4x + 2x²) + x²(-2 + -5i + x))(-2 + 5i + x) = 0
(-2 + -5i + 1x + (-10ix + -4x + 2x²) + x²(-2 + -5i + x))(-2 + 5i + x) = 0
(-2 + -5i + 1x + -10ix + -4x + 2x² + (-2 * x² + -5i * x² + x * x²))(-2 + 5i + x) = 0

Reorder the terms:
(-2 + -5i + 1x + -10ix + -4x + 2x² + (-5ix² + -2x² + x³))(-2 + 5i + x) = 0
(-2 + -5i + 1x + -10ix + -4x + 2x² + (-5ix² + -2x² + x³))(-2 + 5i + x) = 0

Reorder the terms:
(-2 + -5i + -10ix + -5ix² + 1x + -4x + 2x² + -2x² + x³)(-2 + 5i + x) = 0

Combine like terms: 1x + -4x = -3x
(-2 + -5i + -10ix + -5ix² + -3x + 2x² + -2x² + x³)(-2 + 5i + x) = 0

Combine like terms: 2x² + -2x² = 0
(-2 + -5i + -10ix + -5ix² + -3x + 0 + x³)(-2 + 5i + x) = 0
(-2 + -5i + -10ix + -5ix² + -3x + x³)(-2 + 5i + x) = 0

Multiply (-2 + -5i + -10ix + -5ix² + -3x + x³) * (-2 + 5i + x)
(-2(-2 + 5i + x) + -5i * (-2 + 5i + x) + -10ix * (-2 + 5i + x) + -5ix² * (-2 + 5i + x) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
((-2 * -2 + 5i * -2 + x * -2) + -5i * (-2 + 5i + x) + -10ix * (-2 + 5i + x) + -5ix² * (-2 + 5i + x) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
((4 + -10i + -2x) + -5i * (-2 + 5i + x) + -10ix * (-2 + 5i + x) + -5ix² * (-2 + 5i + x) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(4 + -10i + -2x + (-2 * -5i + 5i * -5i + x * -5i) + -10ix * (-2 + 5i + x) + -5ix² * (-2 + 5i + x) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0

Reorder the terms:
(4 + -10i + -2x + (10i + -5ix + -25i²) + -10ix * (-2 + 5i + x) + -5ix² * (-2 + 5i + x) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(4 + -10i + -2x + (10i + -5ix + -25i²) + -10ix * (-2 + 5i + x) + -5ix² * (-2 + 5i + x) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i² + (-2 * -10ix + 5i * -10ix + x * -10ix) + -5ix² * (-2 + 5i + x) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0

Reorder the terms:
(4 + -10i + -2x + 10i + -5ix + -25i² + (20ix + -10ix² + -50i²x) + -5ix² * (-2 + 5i + x) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i² + (20ix + -10ix² + -50i²x) + -5ix² * (-2 + 5i + x) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i² + 20ix + -10ix² + -50i²x + (-2 * -5ix² + 5i * -5ix² + x * -5ix²) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0

Reorder the terms:
(4 + -10i + -2x + 10i + -5ix + -25i² + 20ix + -10ix² + -50i²x + (10ix² + -5ix³ + -25i²x²) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i² + 20ix + -10ix² + -50i²x + (10ix² + -5ix³ + -25i²x²) + -3x * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i² + 20ix + -10ix² + -50i²x + 10ix² + -5ix³ + -25i²x² + (-2 * -3x + 5i * -3x + x * -3x) + x³(-2 + 5i + x)) = 0

Reorder the terms:
(4 + -10i + -2x + 10i + -5ix + -25i² + 20ix + -10ix² + -50i²x + 10ix² + -5ix³ + -25i²x² + (-15ix + 6x + -3x²) + x³(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i² + 20ix + -10ix² + -50i²x + 10ix² + -5ix³ + -25i²x² + (-15ix + 6x + -3x²) + x³(-2 + 5i + x)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i² + 20ix + -10ix² + -50i²x + 10ix² + -5ix³ + -25i²x² + -15ix + 6x + -3x² + (-2 * x³ + 5i * x³ + x * x³)) = 0

Reorder the terms:
(4 + -10i + -2x + 10i + -5ix + -25i² + 20ix + -10ix² + -50i²x + 10ix² + -5ix³ + -25i²x² + -15ix + 6x + -3x² + (5ix³ + -2x³ + x⁴)) = 0
(4 + -10i + -2x + 10i + -5ix + -25i² + 20ix + -10ix² + -50i²x + 10ix² + -5ix³ + -25i²x² + -15ix + 6x + -3x² + (5ix³ + -2x³ + x⁴)) = 0

Reorder the terms:
(4 + -10i + 10i + -5ix + 20ix + -15ix + -10ix² + 10ix² + -5ix³ + 5ix³ + -25i² + -50i²x + -25i²x² + -2x + 6x + -3x² + -2x³ + x⁴) = 0

Combine like terms: -10i + 10i = 0
(4 + 0 + -5ix + 20ix + -15ix + -10ix² + 10ix² + -5ix³ + 5ix³ + -25i² + -50i²x + -25i²x² + -2x + 6x + -3x² + -2x³ + x⁴) = 0
(4 + -5ix + 20ix + -15ix + -10ix² + 10ix² + -5ix³ + 5ix³ + -25i² + -50i²x + -25i²x² + -2x + 6x + -3x² + -2x³ + x⁴) = 0

Combine like terms: -5ix + 20ix = 15ix
(4 + 15ix + -15ix + -10ix² + 10ix² + -5ix³ + 5ix³ + -25i² + -50i²x + -25i²x² + -2x + 6x + -3x² + -2x³ + x⁴) = 0

Combine like terms: 15ix + -15ix = 0
(4 + 0 + -10ix² + 10ix² + -5ix³ + 5ix³ + -25i² + -50i²x + -25i²x² + -2x + 6x + -3x² + -2x³ + x⁴) = 0
(4 + -10ix² + 10ix² + -5ix³ + 5ix³ + -25i² + -50i²x + -25i²x² + -2x + 6x + -3x² + -2x³ + x⁴) = 0

Combine like terms: -10ix² + 10ix² = 0
(4 + 0 + -5ix³ + 5ix³ + -25i² + -50i²x + -25i²x² + -2x + 6x + -3x² + -2x³ + x⁴) = 0
(4 + -5ix³ + 5ix³ + -25i² + -50i²x + -25i²x² + -2x + 6x + -3x² + -2x³ + x⁴) = 0

Combine like terms: -5ix³ + 5ix³ = 0
(4 + 0 + -25i² + -50i²x + -25i²x² + -2x + 6x + -3x² + -2x³ + x⁴) = 0
(4 + -25i² + -50i²x + -25i²x² + -2x + 6x + -3x² + -2x³ + x⁴) = 0

Combine like terms: -2x + 6x = 4x
(4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴) = 0

Solving
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + -4 + x⁴ = 0 + -4

Reorder the terms:
4 + -4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 0 + -4
-25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 0 + -4

Combine like terms: 0 + -4 = -4
-25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = -4

Add '-4x' to each side of the equation.
-25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + -4x + x⁴ = -4 + -4x

Reorder the terms:
-25i² + -50i²x + -25i²x² + 4x + -4x + -3x² + -2x³ + x⁴ = -4 + -4x

Combine like terms: 4x + -4x = 0
-25i² + -50i²x + -25i²x² + 0 + -3x² + -2x³ + x⁴ = -4 + -4x
-25i² + -50i²x + -25i²x² + -3x² + -2x³ + x⁴ = -4 + -4x

Add '3x²' to each side of the equation.
-25i² + -50i²x + -25i²x² + -3x² + -2x³ + 3x² + x⁴ = -4 + -4x + 3x²

Reorder the terms:
-25i² + -50i²x + -25i²x² + -3x² + 3x² + -2x³ + x⁴ = -4 + -4x + 3x²

Combine like terms: -3x² + 3x² = 0
-25i² + -50i²x + -25i²x² + 0 + -2x³ + x⁴ = -4 + -4x + 3x²
-25i² + -50i²x + -25i²x² + -2x³ + x⁴ = -4 + -4x + 3x²

Add '2x³' to each side of the equation.
-25i² + -50i²x + -25i²x² + -2x³ + 2x³ + x⁴ = -4 + -4x + 3x² + 2x³

Combine like terms: -2x³ + 2x³ = 0
-25i² + -50i²x + -25i²x² + 0 + x⁴ = -4 + -4x + 3x² + 2x³
-25i² + -50i²x + -25i²x² + x⁴ = -4 + -4x + 3x² + 2x³

Add '-1x⁴' to each side of the equation.
-25i² + -50i²x + -25i²x² + x⁴ + -1x⁴ = -4 + -4x + 3x² + 2x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-25i² + -50i²x + -25i²x² + 0 = -4 + -4x + 3x² + 2x³ + -1x⁴
-25i² + -50i²x + -25i²x² = -4 + -4x + 3x² + 2x³ + -1x⁴

Reorder the terms:
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = -4 + -4x + 3x² + 2x³ + -1x⁴ + 4 + 4x + -3x² + -2x³ + x⁴

Reorder the terms:
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = -4 + 4 + -4x + 4x + 3x² + -3x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: -4 + 4 = 0
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 0 + -4x + 4x + 3x² + -3x² + 2x³ + -2x³ + -1x⁴ + x⁴
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = -4x + 4x + 3x² + -3x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: -4x + 4x = 0
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 0 + 3x² + -3x² + 2x³ + -2x³ + -1x⁴ + x⁴
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 3x² + -3x² + 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 3x² + -3x² = 0
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 0 + 2x³ + -2x³ + -1x⁴ + x⁴
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 2x³ + -2x³ + -1x⁴ + x⁴

Combine like terms: 2x³ + -2x³ = 0
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 0 + -1x⁴ + x⁴
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
4 + -25i² + -50i²x + -25i²x² + 4x + -3x² + -2x³ + x⁴ = 0

The solution to this equation could not be determined.

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

Simple and best practice solution for (x+1)(x+1)(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+1)(x+1)(x-2-5i)(x-2+5i)=0 equation:

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