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

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Solution for (x+3)(x-5-5i)(x-5+5i)=0 equation:

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

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

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

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

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

Reorder the terms:
(-15 + -15i + 3x + (-5ix + -5x + x²))(-5 + 5i + x) = 0
(-15 + -15i + 3x + (-5ix + -5x + x²))(-5 + 5i + x) = 0

Reorder the terms:
(-15 + -15i + -5ix + 3x + -5x + x²)(-5 + 5i + x) = 0

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

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

Reorder the terms:
(75 + -75i + -15x + (75i + -15ix + -75i²) + -5ix * (-5 + 5i + x) + -2x * (-5 + 5i + x) + x²(-5 + 5i + x)) = 0
(75 + -75i + -15x + (75i + -15ix + -75i²) + -5ix * (-5 + 5i + x) + -2x * (-5 + 5i + x) + x²(-5 + 5i + x)) = 0
(75 + -75i + -15x + 75i + -15ix + -75i² + (-5 * -5ix + 5i * -5ix + x * -5ix) + -2x * (-5 + 5i + x) + x²(-5 + 5i + x)) = 0

Reorder the terms:
(75 + -75i + -15x + 75i + -15ix + -75i² + (25ix + -5ix² + -25i²x) + -2x * (-5 + 5i + x) + x²(-5 + 5i + x)) = 0
(75 + -75i + -15x + 75i + -15ix + -75i² + (25ix + -5ix² + -25i²x) + -2x * (-5 + 5i + x) + x²(-5 + 5i + x)) = 0
(75 + -75i + -15x + 75i + -15ix + -75i² + 25ix + -5ix² + -25i²x + (-5 * -2x + 5i * -2x + x * -2x) + x²(-5 + 5i + x)) = 0

Reorder the terms:
(75 + -75i + -15x + 75i + -15ix + -75i² + 25ix + -5ix² + -25i²x + (-10ix + 10x + -2x²) + x²(-5 + 5i + x)) = 0
(75 + -75i + -15x + 75i + -15ix + -75i² + 25ix + -5ix² + -25i²x + (-10ix + 10x + -2x²) + x²(-5 + 5i + x)) = 0
(75 + -75i + -15x + 75i + -15ix + -75i² + 25ix + -5ix² + -25i²x + -10ix + 10x + -2x² + (-5 * x² + 5i * x² + x * x²)) = 0

Reorder the terms:
(75 + -75i + -15x + 75i + -15ix + -75i² + 25ix + -5ix² + -25i²x + -10ix + 10x + -2x² + (5ix² + -5x² + x³)) = 0
(75 + -75i + -15x + 75i + -15ix + -75i² + 25ix + -5ix² + -25i²x + -10ix + 10x + -2x² + (5ix² + -5x² + x³)) = 0

Reorder the terms:
(75 + -75i + 75i + -15ix + 25ix + -10ix + -5ix² + 5ix² + -75i² + -25i²x + -15x + 10x + -2x² + -5x² + x³) = 0

Combine like terms: -75i + 75i = 0
(75 + 0 + -15ix + 25ix + -10ix + -5ix² + 5ix² + -75i² + -25i²x + -15x + 10x + -2x² + -5x² + x³) = 0
(75 + -15ix + 25ix + -10ix + -5ix² + 5ix² + -75i² + -25i²x + -15x + 10x + -2x² + -5x² + x³) = 0

Combine like terms: -15ix + 25ix = 10ix
(75 + 10ix + -10ix + -5ix² + 5ix² + -75i² + -25i²x + -15x + 10x + -2x² + -5x² + x³) = 0

Combine like terms: 10ix + -10ix = 0
(75 + 0 + -5ix² + 5ix² + -75i² + -25i²x + -15x + 10x + -2x² + -5x² + x³) = 0
(75 + -5ix² + 5ix² + -75i² + -25i²x + -15x + 10x + -2x² + -5x² + x³) = 0

Combine like terms: -5ix² + 5ix² = 0
(75 + 0 + -75i² + -25i²x + -15x + 10x + -2x² + -5x² + x³) = 0
(75 + -75i² + -25i²x + -15x + 10x + -2x² + -5x² + x³) = 0

Combine like terms: -15x + 10x = -5x
(75 + -75i² + -25i²x + -5x + -2x² + -5x² + x³) = 0

Combine like terms: -2x² + -5x² = -7x²
(75 + -75i² + -25i²x + -5x + -7x² + x³) = 0

Solving
75 + -75i² + -25i²x + -5x + -7x² + x³ = 0

Solving for variable 'i'.

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

Add '-75' to each side of the equation.
75 + -75i² + -25i²x + -5x + -7x² + -75 + x³ = 0 + -75

Reorder the terms:
75 + -75 + -75i² + -25i²x + -5x + -7x² + x³ = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -75i² + -25i²x + -5x + -7x² + x³ = 0 + -75
-75i² + -25i²x + -5x + -7x² + x³ = 0 + -75

Combine like terms: 0 + -75 = -75
-75i² + -25i²x + -5x + -7x² + x³ = -75

Add '5x' to each side of the equation.
-75i² + -25i²x + -5x + -7x² + 5x + x³ = -75 + 5x

Reorder the terms:
-75i² + -25i²x + -5x + 5x + -7x² + x³ = -75 + 5x

Combine like terms: -5x + 5x = 0
-75i² + -25i²x + 0 + -7x² + x³ = -75 + 5x
-75i² + -25i²x + -7x² + x³ = -75 + 5x

Add '7x²' to each side of the equation.
-75i² + -25i²x + -7x² + 7x² + x³ = -75 + 5x + 7x²

Combine like terms: -7x² + 7x² = 0
-75i² + -25i²x + 0 + x³ = -75 + 5x + 7x²
-75i² + -25i²x + x³ = -75 + 5x + 7x²

Add '-1x³' to each side of the equation.
-75i² + -25i²x + x³ + -1x³ = -75 + 5x + 7x² + -1x³

Combine like terms: x³ + -1x³ = 0
-75i² + -25i²x + 0 = -75 + 5x + 7x² + -1x³
-75i² + -25i²x = -75 + 5x + 7x² + -1x³

Reorder the terms:
75 + -75i² + -25i²x + -5x + -7x² + x³ = -75 + 5x + 7x² + -1x³ + 75 + -5x + -7x² + x³

Reorder the terms:
75 + -75i² + -25i²x + -5x + -7x² + x³ = -75 + 75 + 5x + -5x + 7x² + -7x² + -1x³ + x³

Combine like terms: -75 + 75 = 0
75 + -75i² + -25i²x + -5x + -7x² + x³ = 0 + 5x + -5x + 7x² + -7x² + -1x³ + x³
75 + -75i² + -25i²x + -5x + -7x² + x³ = 5x + -5x + 7x² + -7x² + -1x³ + x³

Combine like terms: 5x + -5x = 0
75 + -75i² + -25i²x + -5x + -7x² + x³ = 0 + 7x² + -7x² + -1x³ + x³
75 + -75i² + -25i²x + -5x + -7x² + x³ = 7x² + -7x² + -1x³ + x³

Combine like terms: 7x² + -7x² = 0
75 + -75i² + -25i²x + -5x + -7x² + x³ = 0 + -1x³ + x³
75 + -75i² + -25i²x + -5x + -7x² + x³ = -1x³ + x³

Combine like terms: -1x³ + x³ = 0
75 + -75i² + -25i²x + -5x + -7x² + x³ = 0

The solution to this equation could not be determined.

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

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

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