(x-1)(x+2)[x-(1-3i)][x-(1+3i)]=0

Simple and best practice solution for (x-1)(x+2)[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-1)(x+2)[x-(1-3i)][x-(1+3i)]=0 equation:

Simplifying
(x + -1)(x + 2)[x + -1(1 + -3i)][x + -1(1 + 3i)] = 0

Reorder the terms:
(-1 + x)(x + 2)[x + -1(1 + -3i)][x + -1(1 + 3i)] = 0

Reorder the terms:
(-1 + x)(2 + x)[x + -1(1 + -3i)][x + -1(1 + 3i)] = 0
(-1 + x)(2 + x)[x + (1 * -1 + -3i * -1)][x + -1(1 + 3i)] = 0
(-1 + x)(2 + x)[x + (-1 + 3i)][x + -1(1 + 3i)] = 0

Reorder the terms:
(-1 + x)(2 + x)[-1 + 3i + x][x + -1(1 + 3i)] = 0
(-1 + x)(2 + x)[-1 + 3i + x][x + (1 * -1 + 3i * -1)] = 0
(-1 + x)(2 + x)[-1 + 3i + x][x + (-1 + -3i)] = 0

Reorder the terms:
(-1 + x)(2 + x)[-1 + 3i + x][-1 + -3i + x] = 0

Multiply (-1 + x) * (2 + x)
(-1(2 + x) + x(2 + x))[-1 + 3i + x][-1 + -3i + x] = 0
((2 * -1 + x * -1) + x(2 + x))[-1 + 3i + x][-1 + -3i + x] = 0
((-2 + -1x) + x(2 + x))[-1 + 3i + x][-1 + -3i + x] = 0
(-2 + -1x + (2 * x + x * x))[-1 + 3i + x][-1 + -3i + x] = 0
(-2 + -1x + (2x + x²))[-1 + 3i + x][-1 + -3i + x] = 0

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

Multiply (-2 + 1x + x²) * [-1 + 3i + x]
(-2[-1 + 3i + x] + 1x * [-1 + 3i + x] + x²[-1 + 3i + x])[-1 + -3i + x] = 0
([-1 * -2 + 3i * -2 + x * -2] + 1x * [-1 + 3i + x] + x²[-1 + 3i + x])[-1 + -3i + x] = 0
([2 + -6i + -2x] + 1x * [-1 + 3i + x] + x²[-1 + 3i + x])[-1 + -3i + x] = 0
(2 + -6i + -2x + [-1 * 1x + 3i * 1x + x * 1x] + x²[-1 + 3i + x])[-1 + -3i + x] = 0

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

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

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

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

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

Multiply (2 + -6i + 3ix + 3ix² + -3x + x³) * [-1 + -3i + x]
(2[-1 + -3i + x] + -6i * [-1 + -3i + x] + 3ix * [-1 + -3i + x] + 3ix² * [-1 + -3i + x] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0
([-1 * 2 + -3i * 2 + x * 2] + -6i * [-1 + -3i + x] + 3ix * [-1 + -3i + x] + 3ix² * [-1 + -3i + x] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0
([-2 + -6i + 2x] + -6i * [-1 + -3i + x] + 3ix * [-1 + -3i + x] + 3ix² * [-1 + -3i + x] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0
(-2 + -6i + 2x + [-1 * -6i + -3i * -6i + x * -6i] + 3ix * [-1 + -3i + x] + 3ix² * [-1 + -3i + x] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0

Reorder the terms:
(-2 + -6i + 2x + [6i + -6ix + 18i²] + 3ix * [-1 + -3i + x] + 3ix² * [-1 + -3i + x] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0
(-2 + -6i + 2x + [6i + -6ix + 18i²] + 3ix * [-1 + -3i + x] + 3ix² * [-1 + -3i + x] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0
(-2 + -6i + 2x + 6i + -6ix + 18i² + [-1 * 3ix + -3i * 3ix + x * 3ix] + 3ix² * [-1 + -3i + x] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0

Reorder the terms:
(-2 + -6i + 2x + 6i + -6ix + 18i² + [-3ix + 3ix² + -9i²x] + 3ix² * [-1 + -3i + x] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0
(-2 + -6i + 2x + 6i + -6ix + 18i² + [-3ix + 3ix² + -9i²x] + 3ix² * [-1 + -3i + x] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0
(-2 + -6i + 2x + 6i + -6ix + 18i² + -3ix + 3ix² + -9i²x + [-1 * 3ix² + -3i * 3ix² + x * 3ix²] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0

Reorder the terms:
(-2 + -6i + 2x + 6i + -6ix + 18i² + -3ix + 3ix² + -9i²x + [-3ix² + 3ix³ + -9i²x²] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0
(-2 + -6i + 2x + 6i + -6ix + 18i² + -3ix + 3ix² + -9i²x + [-3ix² + 3ix³ + -9i²x²] + -3x * [-1 + -3i + x] + x³[-1 + -3i + x]) = 0
(-2 + -6i + 2x + 6i + -6ix + 18i² + -3ix + 3ix² + -9i²x + -3ix² + 3ix³ + -9i²x² + [-1 * -3x + -3i * -3x + x * -3x] + x³[-1 + -3i + x]) = 0

Reorder the terms:
(-2 + -6i + 2x + 6i + -6ix + 18i² + -3ix + 3ix² + -9i²x + -3ix² + 3ix³ + -9i²x² + [9ix + 3x + -3x²] + x³[-1 + -3i + x]) = 0
(-2 + -6i + 2x + 6i + -6ix + 18i² + -3ix + 3ix² + -9i²x + -3ix² + 3ix³ + -9i²x² + [9ix + 3x + -3x²] + x³[-1 + -3i + x]) = 0
(-2 + -6i + 2x + 6i + -6ix + 18i² + -3ix + 3ix² + -9i²x + -3ix² + 3ix³ + -9i²x² + 9ix + 3x + -3x² + [-1 * x³ + -3i * x³ + x * x³]) = 0

Reorder the terms:
(-2 + -6i + 2x + 6i + -6ix + 18i² + -3ix + 3ix² + -9i²x + -3ix² + 3ix³ + -9i²x² + 9ix + 3x + -3x² + [-3ix³ + -1x³ + x⁴]) = 0
(-2 + -6i + 2x + 6i + -6ix + 18i² + -3ix + 3ix² + -9i²x + -3ix² + 3ix³ + -9i²x² + 9ix + 3x + -3x² + [-3ix³ + -1x³ + x⁴]) = 0

Reorder the terms:
(-2 + -6i + 6i + -6ix + -3ix + 9ix + 3ix² + -3ix² + 3ix³ + -3ix³ + 18i² + -9i²x + -9i²x² + 2x + 3x + -3x² + -1x³ + x⁴) = 0

Combine like terms: -6i + 6i = 0
(-2 + 0 + -6ix + -3ix + 9ix + 3ix² + -3ix² + 3ix³ + -3ix³ + 18i² + -9i²x + -9i²x² + 2x + 3x + -3x² + -1x³ + x⁴) = 0
(-2 + -6ix + -3ix + 9ix + 3ix² + -3ix² + 3ix³ + -3ix³ + 18i² + -9i²x + -9i²x² + 2x + 3x + -3x² + -1x³ + x⁴) = 0

Combine like terms: -6ix + -3ix = -9ix
(-2 + -9ix + 9ix + 3ix² + -3ix² + 3ix³ + -3ix³ + 18i² + -9i²x + -9i²x² + 2x + 3x + -3x² + -1x³ + x⁴) = 0

Combine like terms: -9ix + 9ix = 0
(-2 + 0 + 3ix² + -3ix² + 3ix³ + -3ix³ + 18i² + -9i²x + -9i²x² + 2x + 3x + -3x² + -1x³ + x⁴) = 0
(-2 + 3ix² + -3ix² + 3ix³ + -3ix³ + 18i² + -9i²x + -9i²x² + 2x + 3x + -3x² + -1x³ + x⁴) = 0

Combine like terms: 3ix² + -3ix² = 0
(-2 + 0 + 3ix³ + -3ix³ + 18i² + -9i²x + -9i²x² + 2x + 3x + -3x² + -1x³ + x⁴) = 0
(-2 + 3ix³ + -3ix³ + 18i² + -9i²x + -9i²x² + 2x + 3x + -3x² + -1x³ + x⁴) = 0

Combine like terms: 3ix³ + -3ix³ = 0
(-2 + 0 + 18i² + -9i²x + -9i²x² + 2x + 3x + -3x² + -1x³ + x⁴) = 0
(-2 + 18i² + -9i²x + -9i²x² + 2x + 3x + -3x² + -1x³ + x⁴) = 0

Combine like terms: 2x + 3x = 5x
(-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴) = 0

Solving
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + 2 + x⁴ = 0 + 2

Reorder the terms:
-2 + 2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 0 + 2
18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 0 + 2

Combine like terms: 0 + 2 = 2
18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 2

Add '-5x' to each side of the equation.
18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + -5x + x⁴ = 2 + -5x

Reorder the terms:
18i² + -9i²x + -9i²x² + 5x + -5x + -3x² + -1x³ + x⁴ = 2 + -5x

Combine like terms: 5x + -5x = 0
18i² + -9i²x + -9i²x² + 0 + -3x² + -1x³ + x⁴ = 2 + -5x
18i² + -9i²x + -9i²x² + -3x² + -1x³ + x⁴ = 2 + -5x

Add '3x²' to each side of the equation.
18i² + -9i²x + -9i²x² + -3x² + -1x³ + 3x² + x⁴ = 2 + -5x + 3x²

Reorder the terms:
18i² + -9i²x + -9i²x² + -3x² + 3x² + -1x³ + x⁴ = 2 + -5x + 3x²

Combine like terms: -3x² + 3x² = 0
18i² + -9i²x + -9i²x² + 0 + -1x³ + x⁴ = 2 + -5x + 3x²
18i² + -9i²x + -9i²x² + -1x³ + x⁴ = 2 + -5x + 3x²

Add 'x³' to each side of the equation.
18i² + -9i²x + -9i²x² + -1x³ + x³ + x⁴ = 2 + -5x + 3x² + x³

Combine like terms: -1x³ + x³ = 0
18i² + -9i²x + -9i²x² + 0 + x⁴ = 2 + -5x + 3x² + x³
18i² + -9i²x + -9i²x² + x⁴ = 2 + -5x + 3x² + x³

Add '-1x⁴' to each side of the equation.
18i² + -9i²x + -9i²x² + x⁴ + -1x⁴ = 2 + -5x + 3x² + x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
18i² + -9i²x + -9i²x² + 0 = 2 + -5x + 3x² + x³ + -1x⁴
18i² + -9i²x + -9i²x² = 2 + -5x + 3x² + x³ + -1x⁴

Reorder the terms:
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 2 + -5x + 3x² + x³ + -1x⁴ + -2 + 5x + -3x² + -1x³ + x⁴

Reorder the terms:
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 2 + -2 + -5x + 5x + 3x² + -3x² + x³ + -1x³ + -1x⁴ + x⁴

Combine like terms: 2 + -2 = 0
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 0 + -5x + 5x + 3x² + -3x² + x³ + -1x³ + -1x⁴ + x⁴
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = -5x + 5x + 3x² + -3x² + x³ + -1x³ + -1x⁴ + x⁴

Combine like terms: -5x + 5x = 0
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 0 + 3x² + -3x² + x³ + -1x³ + -1x⁴ + x⁴
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 3x² + -3x² + x³ + -1x³ + -1x⁴ + x⁴

Combine like terms: 3x² + -3x² = 0
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 0 + x³ + -1x³ + -1x⁴ + x⁴
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = x³ + -1x³ + -1x⁴ + x⁴

Combine like terms: x³ + -1x³ = 0
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 0 + -1x⁴ + x⁴
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-2 + 18i² + -9i²x + -9i²x² + 5x + -3x² + -1x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x-1)(x+2)[x-(1-3i)][x-(1+3i)]=0

Simple and best practice solution for (x-1)(x+2)[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-1)(x+2)[x-(1-3i)][x-(1+3i)]=0 equation:

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