(x-(3+3i))(x-(3-3i))(x-4)(x+2)=0

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Solution for (x-(3+3i))(x-(3-3i))(x-4)(x+2)=0 equation:

Simplifying
(x + -1(3 + 3i))(x + -1(3 + -3i))(x + -4)(x + 2) = 0
(x + (3 * -1 + 3i * -1))(x + -1(3 + -3i))(x + -4)(x + 2) = 0
(x + (-3 + -3i))(x + -1(3 + -3i))(x + -4)(x + 2) = 0

Reorder the terms:
(-3 + -3i + x)(x + -1(3 + -3i))(x + -4)(x + 2) = 0
(-3 + -3i + x)(x + (3 * -1 + -3i * -1))(x + -4)(x + 2) = 0
(-3 + -3i + x)(x + (-3 + 3i))(x + -4)(x + 2) = 0

Reorder the terms:
(-3 + -3i + x)(-3 + 3i + x)(x + -4)(x + 2) = 0

Reorder the terms:
(-3 + -3i + x)(-3 + 3i + x)(-4 + x)(x + 2) = 0

Reorder the terms:
(-3 + -3i + x)(-3 + 3i + x)(-4 + x)(2 + x) = 0

Multiply (-3 + -3i + x) * (-3 + 3i + x)
(-3(-3 + 3i + x) + -3i * (-3 + 3i + x) + x(-3 + 3i + x))(-4 + x)(2 + x) = 0
((-3 * -3 + 3i * -3 + x * -3) + -3i * (-3 + 3i + x) + x(-3 + 3i + x))(-4 + x)(2 + x) = 0
((9 + -9i + -3x) + -3i * (-3 + 3i + x) + x(-3 + 3i + x))(-4 + x)(2 + x) = 0
(9 + -9i + -3x + (-3 * -3i + 3i * -3i + x * -3i) + x(-3 + 3i + x))(-4 + x)(2 + x) = 0

Reorder the terms:
(9 + -9i + -3x + (9i + -3ix + -9i²) + x(-3 + 3i + x))(-4 + x)(2 + x) = 0
(9 + -9i + -3x + (9i + -3ix + -9i²) + x(-3 + 3i + x))(-4 + x)(2 + x) = 0
(9 + -9i + -3x + 9i + -3ix + -9i² + (-3 * x + 3i * x + x * x))(-4 + x)(2 + x) = 0

Reorder the terms:
(9 + -9i + -3x + 9i + -3ix + -9i² + (3ix + -3x + x²))(-4 + x)(2 + x) = 0
(9 + -9i + -3x + 9i + -3ix + -9i² + (3ix + -3x + x²))(-4 + x)(2 + x) = 0

Reorder the terms:
(9 + -9i + 9i + -3ix + 3ix + -9i² + -3x + -3x + x²)(-4 + x)(2 + x) = 0

Combine like terms: -9i + 9i = 0
(9 + 0 + -3ix + 3ix + -9i² + -3x + -3x + x²)(-4 + x)(2 + x) = 0
(9 + -3ix + 3ix + -9i² + -3x + -3x + x²)(-4 + x)(2 + x) = 0

Combine like terms: -3ix + 3ix = 0
(9 + 0 + -9i² + -3x + -3x + x²)(-4 + x)(2 + x) = 0
(9 + -9i² + -3x + -3x + x²)(-4 + x)(2 + x) = 0

Combine like terms: -3x + -3x = -6x
(9 + -9i² + -6x + x²)(-4 + x)(2 + x) = 0

Multiply (9 + -9i² + -6x + x²) * (-4 + x)
(9(-4 + x) + -9i² * (-4 + x) + -6x * (-4 + x) + x²(-4 + x))(2 + x) = 0
((-4 * 9 + x * 9) + -9i² * (-4 + x) + -6x * (-4 + x) + x²(-4 + x))(2 + x) = 0
((-36 + 9x) + -9i² * (-4 + x) + -6x * (-4 + x) + x²(-4 + x))(2 + x) = 0
(-36 + 9x + (-4 * -9i² + x * -9i²) + -6x * (-4 + x) + x²(-4 + x))(2 + x) = 0
(-36 + 9x + (36i² + -9i²x) + -6x * (-4 + x) + x²(-4 + x))(2 + x) = 0
(-36 + 9x + 36i² + -9i²x + (-4 * -6x + x * -6x) + x²(-4 + x))(2 + x) = 0
(-36 + 9x + 36i² + -9i²x + (24x + -6x²) + x²(-4 + x))(2 + x) = 0
(-36 + 9x + 36i² + -9i²x + 24x + -6x² + (-4 * x² + x * x²))(2 + x) = 0
(-36 + 9x + 36i² + -9i²x + 24x + -6x² + (-4x² + x³))(2 + x) = 0

Reorder the terms:
(-36 + 36i² + -9i²x + 9x + 24x + -6x² + -4x² + x³)(2 + x) = 0

Combine like terms: 9x + 24x = 33x
(-36 + 36i² + -9i²x + 33x + -6x² + -4x² + x³)(2 + x) = 0

Combine like terms: -6x² + -4x² = -10x²
(-36 + 36i² + -9i²x + 33x + -10x² + x³)(2 + x) = 0

Multiply (-36 + 36i² + -9i²x + 33x + -10x² + x³) * (2 + x)
(-36(2 + x) + 36i² * (2 + x) + -9i²x * (2 + x) + 33x * (2 + x) + -10x² * (2 + x) + x³(2 + x)) = 0
((2 * -36 + x * -36) + 36i² * (2 + x) + -9i²x * (2 + x) + 33x * (2 + x) + -10x² * (2 + x) + x³(2 + x)) = 0
((-72 + -36x) + 36i² * (2 + x) + -9i²x * (2 + x) + 33x * (2 + x) + -10x² * (2 + x) + x³(2 + x)) = 0
(-72 + -36x + (2 * 36i² + x * 36i²) + -9i²x * (2 + x) + 33x * (2 + x) + -10x² * (2 + x) + x³(2 + x)) = 0
(-72 + -36x + (72i² + 36i²x) + -9i²x * (2 + x) + 33x * (2 + x) + -10x² * (2 + x) + x³(2 + x)) = 0
(-72 + -36x + 72i² + 36i²x + (2 * -9i²x + x * -9i²x) + 33x * (2 + x) + -10x² * (2 + x) + x³(2 + x)) = 0
(-72 + -36x + 72i² + 36i²x + (-18i²x + -9i²x²) + 33x * (2 + x) + -10x² * (2 + x) + x³(2 + x)) = 0
(-72 + -36x + 72i² + 36i²x + -18i²x + -9i²x² + (2 * 33x + x * 33x) + -10x² * (2 + x) + x³(2 + x)) = 0
(-72 + -36x + 72i² + 36i²x + -18i²x + -9i²x² + (66x + 33x²) + -10x² * (2 + x) + x³(2 + x)) = 0
(-72 + -36x + 72i² + 36i²x + -18i²x + -9i²x² + 66x + 33x² + (2 * -10x² + x * -10x²) + x³(2 + x)) = 0
(-72 + -36x + 72i² + 36i²x + -18i²x + -9i²x² + 66x + 33x² + (-20x² + -10x³) + x³(2 + x)) = 0
(-72 + -36x + 72i² + 36i²x + -18i²x + -9i²x² + 66x + 33x² + -20x² + -10x³ + (2 * x³ + x * x³)) = 0
(-72 + -36x + 72i² + 36i²x + -18i²x + -9i²x² + 66x + 33x² + -20x² + -10x³ + (2x³ + x⁴)) = 0

Reorder the terms:
(-72 + 72i² + 36i²x + -18i²x + -9i²x² + -36x + 66x + 33x² + -20x² + -10x³ + 2x³ + x⁴) = 0

Combine like terms: 36i²x + -18i²x = 18i²x
(-72 + 72i² + 18i²x + -9i²x² + -36x + 66x + 33x² + -20x² + -10x³ + 2x³ + x⁴) = 0

Combine like terms: -36x + 66x = 30x
(-72 + 72i² + 18i²x + -9i²x² + 30x + 33x² + -20x² + -10x³ + 2x³ + x⁴) = 0

Combine like terms: 33x² + -20x² = 13x²
(-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -10x³ + 2x³ + x⁴) = 0

Combine like terms: -10x³ + 2x³ = -8x³
(-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴) = 0

Solving
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '72' to each side of the equation.
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + 72 + x⁴ = 0 + 72

Reorder the terms:
-72 + 72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 0 + 72

Combine like terms: -72 + 72 = 0
0 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 0 + 72
72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 0 + 72

Combine like terms: 0 + 72 = 72
72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 72

Add '-30x' to each side of the equation.
72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + -30x + x⁴ = 72 + -30x

Reorder the terms:
72i² + 18i²x + -9i²x² + 30x + -30x + 13x² + -8x³ + x⁴ = 72 + -30x

Combine like terms: 30x + -30x = 0
72i² + 18i²x + -9i²x² + 0 + 13x² + -8x³ + x⁴ = 72 + -30x
72i² + 18i²x + -9i²x² + 13x² + -8x³ + x⁴ = 72 + -30x

Add '-13x²' to each side of the equation.
72i² + 18i²x + -9i²x² + 13x² + -8x³ + -13x² + x⁴ = 72 + -30x + -13x²

Reorder the terms:
72i² + 18i²x + -9i²x² + 13x² + -13x² + -8x³ + x⁴ = 72 + -30x + -13x²

Combine like terms: 13x² + -13x² = 0
72i² + 18i²x + -9i²x² + 0 + -8x³ + x⁴ = 72 + -30x + -13x²
72i² + 18i²x + -9i²x² + -8x³ + x⁴ = 72 + -30x + -13x²

Add '8x³' to each side of the equation.
72i² + 18i²x + -9i²x² + -8x³ + 8x³ + x⁴ = 72 + -30x + -13x² + 8x³

Combine like terms: -8x³ + 8x³ = 0
72i² + 18i²x + -9i²x² + 0 + x⁴ = 72 + -30x + -13x² + 8x³
72i² + 18i²x + -9i²x² + x⁴ = 72 + -30x + -13x² + 8x³

Add '-1x⁴' to each side of the equation.
72i² + 18i²x + -9i²x² + x⁴ + -1x⁴ = 72 + -30x + -13x² + 8x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
72i² + 18i²x + -9i²x² + 0 = 72 + -30x + -13x² + 8x³ + -1x⁴
72i² + 18i²x + -9i²x² = 72 + -30x + -13x² + 8x³ + -1x⁴

Reorder the terms:
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 72 + -30x + -13x² + 8x³ + -1x⁴ + -72 + 30x + 13x² + -8x³ + x⁴

Reorder the terms:
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 72 + -72 + -30x + 30x + -13x² + 13x² + 8x³ + -8x³ + -1x⁴ + x⁴

Combine like terms: 72 + -72 = 0
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 0 + -30x + 30x + -13x² + 13x² + 8x³ + -8x³ + -1x⁴ + x⁴
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = -30x + 30x + -13x² + 13x² + 8x³ + -8x³ + -1x⁴ + x⁴

Combine like terms: -30x + 30x = 0
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 0 + -13x² + 13x² + 8x³ + -8x³ + -1x⁴ + x⁴
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = -13x² + 13x² + 8x³ + -8x³ + -1x⁴ + x⁴

Combine like terms: -13x² + 13x² = 0
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 0 + 8x³ + -8x³ + -1x⁴ + x⁴
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 8x³ + -8x³ + -1x⁴ + x⁴

Combine like terms: 8x³ + -8x³ = 0
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 0 + -1x⁴ + x⁴
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-72 + 72i² + 18i²x + -9i²x² + 30x + 13x² + -8x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x-(3+3i))(x-(3-3i))(x-4)(x+2)=0

Simple and best practice solution for (x-(3+3i))(x-(3-3i))(x-4)(x+2)=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+3i))(x-(3-3i))(x-4)(x+2)=0 equation:

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