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

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

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

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

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

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

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

Multiply (-5 + x) * (3 + x)
(-5(3 + x) + x(3 + x))(1 + -3i + x)(1 + 3i + x) = 0
((3 * -5 + x * -5) + x(3 + x))(1 + -3i + x)(1 + 3i + x) = 0
((-15 + -5x) + x(3 + x))(1 + -3i + x)(1 + 3i + x) = 0
(-15 + -5x + (3 * x + x * x))(1 + -3i + x)(1 + 3i + x) = 0
(-15 + -5x + (3x + x²))(1 + -3i + x)(1 + 3i + x) = 0

Combine like terms: -5x + 3x = -2x
(-15 + -2x + x²)(1 + -3i + x)(1 + 3i + x) = 0

Multiply (-15 + -2x + x²) * (1 + -3i + x)
(-15(1 + -3i + x) + -2x * (1 + -3i + x) + x²(1 + -3i + x))(1 + 3i + x) = 0
((1 * -15 + -3i * -15 + x * -15) + -2x * (1 + -3i + x) + x²(1 + -3i + x))(1 + 3i + x) = 0
((-15 + 45i + -15x) + -2x * (1 + -3i + x) + x²(1 + -3i + x))(1 + 3i + x) = 0
(-15 + 45i + -15x + (1 * -2x + -3i * -2x + x * -2x) + x²(1 + -3i + x))(1 + 3i + x) = 0

Reorder the terms:
(-15 + 45i + -15x + (6ix + -2x + -2x²) + x²(1 + -3i + x))(1 + 3i + x) = 0
(-15 + 45i + -15x + (6ix + -2x + -2x²) + x²(1 + -3i + x))(1 + 3i + x) = 0
(-15 + 45i + -15x + 6ix + -2x + -2x² + (1 * x² + -3i * x² + x * x²))(1 + 3i + x) = 0

Reorder the terms:
(-15 + 45i + -15x + 6ix + -2x + -2x² + (-3ix² + 1x² + x³))(1 + 3i + x) = 0
(-15 + 45i + -15x + 6ix + -2x + -2x² + (-3ix² + 1x² + x³))(1 + 3i + x) = 0

Reorder the terms:
(-15 + 45i + 6ix + -3ix² + -15x + -2x + -2x² + 1x² + x³)(1 + 3i + x) = 0

Combine like terms: -15x + -2x = -17x
(-15 + 45i + 6ix + -3ix² + -17x + -2x² + 1x² + x³)(1 + 3i + x) = 0

Combine like terms: -2x² + 1x² = -1x²
(-15 + 45i + 6ix + -3ix² + -17x + -1x² + x³)(1 + 3i + x) = 0

Multiply (-15 + 45i + 6ix + -3ix² + -17x + -1x² + x³) * (1 + 3i + x)
(-15(1 + 3i + x) + 45i * (1 + 3i + x) + 6ix * (1 + 3i + x) + -3ix² * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
((1 * -15 + 3i * -15 + x * -15) + 45i * (1 + 3i + x) + 6ix * (1 + 3i + x) + -3ix² * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
((-15 + -45i + -15x) + 45i * (1 + 3i + x) + 6ix * (1 + 3i + x) + -3ix² * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + (1 * 45i + 3i * 45i + x * 45i) + 6ix * (1 + 3i + x) + -3ix² * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0

Reorder the terms:
(-15 + -45i + -15x + (45i + 45ix + 135i²) + 6ix * (1 + 3i + x) + -3ix² * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + (45i + 45ix + 135i²) + 6ix * (1 + 3i + x) + -3ix² * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i² + (1 * 6ix + 3i * 6ix + x * 6ix) + -3ix² * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0

Reorder the terms:
(-15 + -45i + -15x + 45i + 45ix + 135i² + (6ix + 6ix² + 18i²x) + -3ix² * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i² + (6ix + 6ix² + 18i²x) + -3ix² * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + (1 * -3ix² + 3i * -3ix² + x * -3ix²) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0

Reorder the terms:
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + (-3ix² + -3ix³ + -9i²x²) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + (-3ix² + -3ix³ + -9i²x²) + -17x * (1 + 3i + x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + -3ix² + -3ix³ + -9i²x² + (1 * -17x + 3i * -17x + x * -17x) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0

Reorder the terms:
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + -3ix² + -3ix³ + -9i²x² + (-51ix + -17x + -17x²) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + -3ix² + -3ix³ + -9i²x² + (-51ix + -17x + -17x²) + -1x² * (1 + 3i + x) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + -3ix² + -3ix³ + -9i²x² + -51ix + -17x + -17x² + (1 * -1x² + 3i * -1x² + x * -1x²) + x³(1 + 3i + x)) = 0

Reorder the terms:
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + -3ix² + -3ix³ + -9i²x² + -51ix + -17x + -17x² + (-3ix² + -1x² + -1x³) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + -3ix² + -3ix³ + -9i²x² + -51ix + -17x + -17x² + (-3ix² + -1x² + -1x³) + x³(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + -3ix² + -3ix³ + -9i²x² + -51ix + -17x + -17x² + -3ix² + -1x² + -1x³ + (1 * x³ + 3i * x³ + x * x³)) = 0

Reorder the terms:
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + -3ix² + -3ix³ + -9i²x² + -51ix + -17x + -17x² + -3ix² + -1x² + -1x³ + (3ix³ + 1x³ + x⁴)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i² + 6ix + 6ix² + 18i²x + -3ix² + -3ix³ + -9i²x² + -51ix + -17x + -17x² + -3ix² + -1x² + -1x³ + (3ix³ + 1x³ + x⁴)) = 0

Reorder the terms:
(-15 + -45i + 45i + 45ix + 6ix + -51ix + 6ix² + -3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0

Combine like terms: -45i + 45i = 0
(-15 + 0 + 45ix + 6ix + -51ix + 6ix² + -3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0
(-15 + 45ix + 6ix + -51ix + 6ix² + -3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0

Combine like terms: 45ix + 6ix = 51ix
(-15 + 51ix + -51ix + 6ix² + -3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0

Combine like terms: 51ix + -51ix = 0
(-15 + 0 + 6ix² + -3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0
(-15 + 6ix² + -3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0

Combine like terms: 6ix² + -3ix² = 3ix²
(-15 + 3ix² + -3ix² + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0

Combine like terms: 3ix² + -3ix² = 0
(-15 + 0 + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0
(-15 + -3ix³ + 3ix³ + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0

Combine like terms: -3ix³ + 3ix³ = 0
(-15 + 0 + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0
(-15 + 135i² + 18i²x + -9i²x² + -15x + -17x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0

Combine like terms: -15x + -17x = -32x
(-15 + 135i² + 18i²x + -9i²x² + -32x + -17x² + -1x² + -1x³ + 1x³ + x⁴) = 0

Combine like terms: -17x² + -1x² = -18x²
(-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + -1x³ + 1x³ + x⁴) = 0

Combine like terms: -1x³ + 1x³ = 0
(-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + 0 + x⁴) = 0
(-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴) = 0

Solving
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 0

Solving for variable 'i'.

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

Add '15' to each side of the equation.
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + 15 + x⁴ = 0 + 15

Reorder the terms:
-15 + 15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 0 + 15
135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 0 + 15

Combine like terms: 0 + 15 = 15
135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 15

Add '32x' to each side of the equation.
135i² + 18i²x + -9i²x² + -32x + -18x² + 32x + x⁴ = 15 + 32x

Reorder the terms:
135i² + 18i²x + -9i²x² + -32x + 32x + -18x² + x⁴ = 15 + 32x

Combine like terms: -32x + 32x = 0
135i² + 18i²x + -9i²x² + 0 + -18x² + x⁴ = 15 + 32x
135i² + 18i²x + -9i²x² + -18x² + x⁴ = 15 + 32x

Add '18x²' to each side of the equation.
135i² + 18i²x + -9i²x² + -18x² + 18x² + x⁴ = 15 + 32x + 18x²

Combine like terms: -18x² + 18x² = 0
135i² + 18i²x + -9i²x² + 0 + x⁴ = 15 + 32x + 18x²
135i² + 18i²x + -9i²x² + x⁴ = 15 + 32x + 18x²

Add '-1x⁴' to each side of the equation.
135i² + 18i²x + -9i²x² + x⁴ + -1x⁴ = 15 + 32x + 18x² + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
135i² + 18i²x + -9i²x² + 0 = 15 + 32x + 18x² + -1x⁴
135i² + 18i²x + -9i²x² = 15 + 32x + 18x² + -1x⁴

Reorder the terms:
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 15 + 32x + 18x² + -1x⁴ + -15 + -32x + -18x² + x⁴

Reorder the terms:
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 15 + -15 + 32x + -32x + 18x² + -18x² + -1x⁴ + x⁴

Combine like terms: 15 + -15 = 0
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 0 + 32x + -32x + 18x² + -18x² + -1x⁴ + x⁴
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 32x + -32x + 18x² + -18x² + -1x⁴ + x⁴

Combine like terms: 32x + -32x = 0
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 0 + 18x² + -18x² + -1x⁴ + x⁴
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 18x² + -18x² + -1x⁴ + x⁴

Combine like terms: 18x² + -18x² = 0
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 0 + -1x⁴ + x⁴
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-15 + 135i² + 18i²x + -9i²x² + -32x + -18x² + x⁴ = 0

The solution to this equation could not be determined.

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

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

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