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

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

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

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

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

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

Multiply (4 + x) * (5 + 5i + x)
(4(5 + 5i + x) + x(5 + 5i + x))(5 + -5i + x) = 0
((5 * 4 + 5i * 4 + x * 4) + x(5 + 5i + x))(5 + -5i + x) = 0
((20 + 20i + 4x) + x(5 + 5i + x))(5 + -5i + x) = 0
(20 + 20i + 4x + (5 * x + 5i * x + x * x))(5 + -5i + x) = 0

Reorder the terms:
(20 + 20i + 4x + (5ix + 5x + x²))(5 + -5i + x) = 0
(20 + 20i + 4x + (5ix + 5x + x²))(5 + -5i + x) = 0

Reorder the terms:
(20 + 20i + 5ix + 4x + 5x + x²)(5 + -5i + x) = 0

Combine like terms: 4x + 5x = 9x
(20 + 20i + 5ix + 9x + x²)(5 + -5i + x) = 0

Multiply (20 + 20i + 5ix + 9x + x²) * (5 + -5i + x)
(20(5 + -5i + x) + 20i * (5 + -5i + x) + 5ix * (5 + -5i + x) + 9x * (5 + -5i + x) + x²(5 + -5i + x)) = 0
((5 * 20 + -5i * 20 + x * 20) + 20i * (5 + -5i + x) + 5ix * (5 + -5i + x) + 9x * (5 + -5i + x) + x²(5 + -5i + x)) = 0
((100 + -100i + 20x) + 20i * (5 + -5i + x) + 5ix * (5 + -5i + x) + 9x * (5 + -5i + x) + x²(5 + -5i + x)) = 0
(100 + -100i + 20x + (5 * 20i + -5i * 20i + x * 20i) + 5ix * (5 + -5i + x) + 9x * (5 + -5i + x) + x²(5 + -5i + x)) = 0

Reorder the terms:
(100 + -100i + 20x + (100i + 20ix + -100i²) + 5ix * (5 + -5i + x) + 9x * (5 + -5i + x) + x²(5 + -5i + x)) = 0
(100 + -100i + 20x + (100i + 20ix + -100i²) + 5ix * (5 + -5i + x) + 9x * (5 + -5i + x) + x²(5 + -5i + x)) = 0
(100 + -100i + 20x + 100i + 20ix + -100i² + (5 * 5ix + -5i * 5ix + x * 5ix) + 9x * (5 + -5i + x) + x²(5 + -5i + x)) = 0

Reorder the terms:
(100 + -100i + 20x + 100i + 20ix + -100i² + (25ix + 5ix² + -25i²x) + 9x * (5 + -5i + x) + x²(5 + -5i + x)) = 0
(100 + -100i + 20x + 100i + 20ix + -100i² + (25ix + 5ix² + -25i²x) + 9x * (5 + -5i + x) + x²(5 + -5i + x)) = 0
(100 + -100i + 20x + 100i + 20ix + -100i² + 25ix + 5ix² + -25i²x + (5 * 9x + -5i * 9x + x * 9x) + x²(5 + -5i + x)) = 0

Reorder the terms:
(100 + -100i + 20x + 100i + 20ix + -100i² + 25ix + 5ix² + -25i²x + (-45ix + 45x + 9x²) + x²(5 + -5i + x)) = 0
(100 + -100i + 20x + 100i + 20ix + -100i² + 25ix + 5ix² + -25i²x + (-45ix + 45x + 9x²) + x²(5 + -5i + x)) = 0
(100 + -100i + 20x + 100i + 20ix + -100i² + 25ix + 5ix² + -25i²x + -45ix + 45x + 9x² + (5 * x² + -5i * x² + x * x²)) = 0

Reorder the terms:
(100 + -100i + 20x + 100i + 20ix + -100i² + 25ix + 5ix² + -25i²x + -45ix + 45x + 9x² + (-5ix² + 5x² + x³)) = 0
(100 + -100i + 20x + 100i + 20ix + -100i² + 25ix + 5ix² + -25i²x + -45ix + 45x + 9x² + (-5ix² + 5x² + x³)) = 0

Reorder the terms:
(100 + -100i + 100i + 20ix + 25ix + -45ix + 5ix² + -5ix² + -100i² + -25i²x + 20x + 45x + 9x² + 5x² + x³) = 0

Combine like terms: -100i + 100i = 0
(100 + 0 + 20ix + 25ix + -45ix + 5ix² + -5ix² + -100i² + -25i²x + 20x + 45x + 9x² + 5x² + x³) = 0
(100 + 20ix + 25ix + -45ix + 5ix² + -5ix² + -100i² + -25i²x + 20x + 45x + 9x² + 5x² + x³) = 0

Combine like terms: 20ix + 25ix = 45ix
(100 + 45ix + -45ix + 5ix² + -5ix² + -100i² + -25i²x + 20x + 45x + 9x² + 5x² + x³) = 0

Combine like terms: 45ix + -45ix = 0
(100 + 0 + 5ix² + -5ix² + -100i² + -25i²x + 20x + 45x + 9x² + 5x² + x³) = 0
(100 + 5ix² + -5ix² + -100i² + -25i²x + 20x + 45x + 9x² + 5x² + x³) = 0

Combine like terms: 5ix² + -5ix² = 0
(100 + 0 + -100i² + -25i²x + 20x + 45x + 9x² + 5x² + x³) = 0
(100 + -100i² + -25i²x + 20x + 45x + 9x² + 5x² + x³) = 0

Combine like terms: 20x + 45x = 65x
(100 + -100i² + -25i²x + 65x + 9x² + 5x² + x³) = 0

Combine like terms: 9x² + 5x² = 14x²
(100 + -100i² + -25i²x + 65x + 14x² + x³) = 0

Solving
100 + -100i² + -25i²x + 65x + 14x² + x³ = 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 + -100i² + -25i²x + 65x + 14x² + -100 + x³ = 0 + -100

Reorder the terms:
100 + -100 + -100i² + -25i²x + 65x + 14x² + x³ = 0 + -100

Combine like terms: 100 + -100 = 0
0 + -100i² + -25i²x + 65x + 14x² + x³ = 0 + -100
-100i² + -25i²x + 65x + 14x² + x³ = 0 + -100

Combine like terms: 0 + -100 = -100
-100i² + -25i²x + 65x + 14x² + x³ = -100

Add '-65x' to each side of the equation.
-100i² + -25i²x + 65x + 14x² + -65x + x³ = -100 + -65x

Reorder the terms:
-100i² + -25i²x + 65x + -65x + 14x² + x³ = -100 + -65x

Combine like terms: 65x + -65x = 0
-100i² + -25i²x + 0 + 14x² + x³ = -100 + -65x
-100i² + -25i²x + 14x² + x³ = -100 + -65x

Add '-14x²' to each side of the equation.
-100i² + -25i²x + 14x² + -14x² + x³ = -100 + -65x + -14x²

Combine like terms: 14x² + -14x² = 0
-100i² + -25i²x + 0 + x³ = -100 + -65x + -14x²
-100i² + -25i²x + x³ = -100 + -65x + -14x²

Add '-1x³' to each side of the equation.
-100i² + -25i²x + x³ + -1x³ = -100 + -65x + -14x² + -1x³

Combine like terms: x³ + -1x³ = 0
-100i² + -25i²x + 0 = -100 + -65x + -14x² + -1x³
-100i² + -25i²x = -100 + -65x + -14x² + -1x³

Reorder the terms:
100 + -100i² + -25i²x + 65x + 14x² + x³ = -100 + -65x + -14x² + -1x³ + 100 + 65x + 14x² + x³

Reorder the terms:
100 + -100i² + -25i²x + 65x + 14x² + x³ = -100 + 100 + -65x + 65x + -14x² + 14x² + -1x³ + x³

Combine like terms: -100 + 100 = 0
100 + -100i² + -25i²x + 65x + 14x² + x³ = 0 + -65x + 65x + -14x² + 14x² + -1x³ + x³
100 + -100i² + -25i²x + 65x + 14x² + x³ = -65x + 65x + -14x² + 14x² + -1x³ + x³

Combine like terms: -65x + 65x = 0
100 + -100i² + -25i²x + 65x + 14x² + x³ = 0 + -14x² + 14x² + -1x³ + x³
100 + -100i² + -25i²x + 65x + 14x² + x³ = -14x² + 14x² + -1x³ + x³

Combine like terms: -14x² + 14x² = 0
100 + -100i² + -25i²x + 65x + 14x² + x³ = 0 + -1x³ + x³
100 + -100i² + -25i²x + 65x + 14x² + x³ = -1x³ + x³

Combine like terms: -1x³ + x³ = 0
100 + -100i² + -25i²x + 65x + 14x² + x³ = 0

The solution to this equation could not be determined.

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

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

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