(x+5)(x+5)(x+2-4i)(x+2+4i)=0

Simple and best practice solution for (x+5)(x+5)(x+2-4i)(x+2+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.

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Solution for (x+5)(x+5)(x+2-4i)(x+2+4i)=0 equation:

Simplifying
(x + 5)(x + 5)(x + 2 + -4i)(x + 2 + 4i) = 0

Reorder the terms:
(5 + x)(x + 5)(x + 2 + -4i)(x + 2 + 4i) = 0

Reorder the terms:
(5 + x)(5 + x)(x + 2 + -4i)(x + 2 + 4i) = 0

Reorder the terms:
(5 + x)(5 + x)(2 + -4i + x)(x + 2 + 4i) = 0

Reorder the terms:
(5 + x)(5 + x)(2 + -4i + x)(2 + 4i + x) = 0

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x))(2 + -4i + x)(2 + 4i + x) = 0
((5 * 5 + x * 5) + x(5 + x))(2 + -4i + x)(2 + 4i + x) = 0
((25 + 5x) + x(5 + x))(2 + -4i + x)(2 + 4i + x) = 0
(25 + 5x + (5 * x + x * x))(2 + -4i + x)(2 + 4i + x) = 0
(25 + 5x + (5x + x²))(2 + -4i + x)(2 + 4i + x) = 0

Combine like terms: 5x + 5x = 10x
(25 + 10x + x²)(2 + -4i + x)(2 + 4i + x) = 0

Multiply (25 + 10x + x²) * (2 + -4i + x)
(25(2 + -4i + x) + 10x * (2 + -4i + x) + x²(2 + -4i + x))(2 + 4i + x) = 0
((2 * 25 + -4i * 25 + x * 25) + 10x * (2 + -4i + x) + x²(2 + -4i + x))(2 + 4i + x) = 0
((50 + -100i + 25x) + 10x * (2 + -4i + x) + x²(2 + -4i + x))(2 + 4i + x) = 0
(50 + -100i + 25x + (2 * 10x + -4i * 10x + x * 10x) + x²(2 + -4i + x))(2 + 4i + x) = 0

Reorder the terms:
(50 + -100i + 25x + (-40ix + 20x + 10x²) + x²(2 + -4i + x))(2 + 4i + x) = 0
(50 + -100i + 25x + (-40ix + 20x + 10x²) + x²(2 + -4i + x))(2 + 4i + x) = 0
(50 + -100i + 25x + -40ix + 20x + 10x² + (2 * x² + -4i * x² + x * x²))(2 + 4i + x) = 0

Reorder the terms:
(50 + -100i + 25x + -40ix + 20x + 10x² + (-4ix² + 2x² + x³))(2 + 4i + x) = 0
(50 + -100i + 25x + -40ix + 20x + 10x² + (-4ix² + 2x² + x³))(2 + 4i + x) = 0

Reorder the terms:
(50 + -100i + -40ix + -4ix² + 25x + 20x + 10x² + 2x² + x³)(2 + 4i + x) = 0

Combine like terms: 25x + 20x = 45x
(50 + -100i + -40ix + -4ix² + 45x + 10x² + 2x² + x³)(2 + 4i + x) = 0

Combine like terms: 10x² + 2x² = 12x²
(50 + -100i + -40ix + -4ix² + 45x + 12x² + x³)(2 + 4i + x) = 0

Multiply (50 + -100i + -40ix + -4ix² + 45x + 12x² + x³) * (2 + 4i + x)
(50(2 + 4i + x) + -100i * (2 + 4i + x) + -40ix * (2 + 4i + x) + -4ix² * (2 + 4i + x) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
((2 * 50 + 4i * 50 + x * 50) + -100i * (2 + 4i + x) + -40ix * (2 + 4i + x) + -4ix² * (2 + 4i + x) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
((100 + 200i + 50x) + -100i * (2 + 4i + x) + -40ix * (2 + 4i + x) + -4ix² * (2 + 4i + x) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + (2 * -100i + 4i * -100i + x * -100i) + -40ix * (2 + 4i + x) + -4ix² * (2 + 4i + x) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0

Reorder the terms:
(100 + 200i + 50x + (-200i + -100ix + -400i²) + -40ix * (2 + 4i + x) + -4ix² * (2 + 4i + x) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + (-200i + -100ix + -400i²) + -40ix * (2 + 4i + x) + -4ix² * (2 + 4i + x) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + -200i + -100ix + -400i² + (2 * -40ix + 4i * -40ix + x * -40ix) + -4ix² * (2 + 4i + x) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0

Reorder the terms:
(100 + 200i + 50x + -200i + -100ix + -400i² + (-80ix + -40ix² + -160i²x) + -4ix² * (2 + 4i + x) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + -200i + -100ix + -400i² + (-80ix + -40ix² + -160i²x) + -4ix² * (2 + 4i + x) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + (2 * -4ix² + 4i * -4ix² + x * -4ix²) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0

Reorder the terms:
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + (-8ix² + -4ix³ + -16i²x²) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + (-8ix² + -4ix³ + -16i²x²) + 45x * (2 + 4i + x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + -8ix² + -4ix³ + -16i²x² + (2 * 45x + 4i * 45x + x * 45x) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0

Reorder the terms:
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + -8ix² + -4ix³ + -16i²x² + (180ix + 90x + 45x²) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + -8ix² + -4ix³ + -16i²x² + (180ix + 90x + 45x²) + 12x² * (2 + 4i + x) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + -8ix² + -4ix³ + -16i²x² + 180ix + 90x + 45x² + (2 * 12x² + 4i * 12x² + x * 12x²) + x³(2 + 4i + x)) = 0

Reorder the terms:
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + -8ix² + -4ix³ + -16i²x² + 180ix + 90x + 45x² + (48ix² + 24x² + 12x³) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + -8ix² + -4ix³ + -16i²x² + 180ix + 90x + 45x² + (48ix² + 24x² + 12x³) + x³(2 + 4i + x)) = 0
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + -8ix² + -4ix³ + -16i²x² + 180ix + 90x + 45x² + 48ix² + 24x² + 12x³ + (2 * x³ + 4i * x³ + x * x³)) = 0

Reorder the terms:
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + -8ix² + -4ix³ + -16i²x² + 180ix + 90x + 45x² + 48ix² + 24x² + 12x³ + (4ix³ + 2x³ + x⁴)) = 0
(100 + 200i + 50x + -200i + -100ix + -400i² + -80ix + -40ix² + -160i²x + -8ix² + -4ix³ + -16i²x² + 180ix + 90x + 45x² + 48ix² + 24x² + 12x³ + (4ix³ + 2x³ + x⁴)) = 0

Reorder the terms:
(100 + 200i + -200i + -100ix + -80ix + 180ix + -40ix² + -8ix² + 48ix² + -4ix³ + 4ix³ + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0

Combine like terms: 200i + -200i = 0
(100 + 0 + -100ix + -80ix + 180ix + -40ix² + -8ix² + 48ix² + -4ix³ + 4ix³ + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0
(100 + -100ix + -80ix + 180ix + -40ix² + -8ix² + 48ix² + -4ix³ + 4ix³ + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0

Combine like terms: -100ix + -80ix = -180ix
(100 + -180ix + 180ix + -40ix² + -8ix² + 48ix² + -4ix³ + 4ix³ + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0

Combine like terms: -180ix + 180ix = 0
(100 + 0 + -40ix² + -8ix² + 48ix² + -4ix³ + 4ix³ + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0
(100 + -40ix² + -8ix² + 48ix² + -4ix³ + 4ix³ + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0

Combine like terms: -40ix² + -8ix² = -48ix²
(100 + -48ix² + 48ix² + -4ix³ + 4ix³ + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0

Combine like terms: -48ix² + 48ix² = 0
(100 + 0 + -4ix³ + 4ix³ + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0
(100 + -4ix³ + 4ix³ + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0

Combine like terms: -4ix³ + 4ix³ = 0
(100 + 0 + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0
(100 + -400i² + -160i²x + -16i²x² + 50x + 90x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0

Combine like terms: 50x + 90x = 140x
(100 + -400i² + -160i²x + -16i²x² + 140x + 45x² + 24x² + 12x³ + 2x³ + x⁴) = 0

Combine like terms: 45x² + 24x² = 69x²
(100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 12x³ + 2x³ + x⁴) = 0

Combine like terms: 12x³ + 2x³ = 14x³
(100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴) = 0

Solving
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-100' to each side of the equation.
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + -100 + x⁴ = 0 + -100

Reorder the terms:
100 + -100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = 0 + -100
-400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = 0 + -100

Combine like terms: 0 + -100 = -100
-400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = -100

Add '-140x' to each side of the equation.
-400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + -140x + x⁴ = -100 + -140x

Reorder the terms:
-400i² + -160i²x + -16i²x² + 140x + -140x + 69x² + 14x³ + x⁴ = -100 + -140x

Combine like terms: 140x + -140x = 0
-400i² + -160i²x + -16i²x² + 0 + 69x² + 14x³ + x⁴ = -100 + -140x
-400i² + -160i²x + -16i²x² + 69x² + 14x³ + x⁴ = -100 + -140x

Add '-69x²' to each side of the equation.
-400i² + -160i²x + -16i²x² + 69x² + 14x³ + -69x² + x⁴ = -100 + -140x + -69x²

Reorder the terms:
-400i² + -160i²x + -16i²x² + 69x² + -69x² + 14x³ + x⁴ = -100 + -140x + -69x²

Combine like terms: 69x² + -69x² = 0
-400i² + -160i²x + -16i²x² + 0 + 14x³ + x⁴ = -100 + -140x + -69x²
-400i² + -160i²x + -16i²x² + 14x³ + x⁴ = -100 + -140x + -69x²

Add '-14x³' to each side of the equation.
-400i² + -160i²x + -16i²x² + 14x³ + -14x³ + x⁴ = -100 + -140x + -69x² + -14x³

Combine like terms: 14x³ + -14x³ = 0
-400i² + -160i²x + -16i²x² + 0 + x⁴ = -100 + -140x + -69x² + -14x³
-400i² + -160i²x + -16i²x² + x⁴ = -100 + -140x + -69x² + -14x³

Add '-1x⁴' to each side of the equation.
-400i² + -160i²x + -16i²x² + x⁴ + -1x⁴ = -100 + -140x + -69x² + -14x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-400i² + -160i²x + -16i²x² + 0 = -100 + -140x + -69x² + -14x³ + -1x⁴
-400i² + -160i²x + -16i²x² = -100 + -140x + -69x² + -14x³ + -1x⁴

Reorder the terms:
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = -100 + -140x + -69x² + -14x³ + -1x⁴ + 100 + 140x + 69x² + 14x³ + x⁴

Reorder the terms:
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = -100 + 100 + -140x + 140x + -69x² + 69x² + -14x³ + 14x³ + -1x⁴ + x⁴

Combine like terms: -100 + 100 = 0
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = 0 + -140x + 140x + -69x² + 69x² + -14x³ + 14x³ + -1x⁴ + x⁴
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = -140x + 140x + -69x² + 69x² + -14x³ + 14x³ + -1x⁴ + x⁴

Combine like terms: -140x + 140x = 0
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = 0 + -69x² + 69x² + -14x³ + 14x³ + -1x⁴ + x⁴
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = -69x² + 69x² + -14x³ + 14x³ + -1x⁴ + x⁴

Combine like terms: -69x² + 69x² = 0
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = 0 + -14x³ + 14x³ + -1x⁴ + x⁴
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = -14x³ + 14x³ + -1x⁴ + x⁴

Combine like terms: -14x³ + 14x³ = 0
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = 0 + -1x⁴ + x⁴
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
100 + -400i² + -160i²x + -16i²x² + 140x + 69x² + 14x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x+5)(x+5)(x+2-4i)(x+2+4i)=0

Simple and best practice solution for (x+5)(x+5)(x+2-4i)(x+2+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+5)(x+5)(x+2-4i)(x+2+4i)=0 equation:

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