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

Simple and best practice solution for (x-4)(x-2)(x-2-3i)(x-2+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.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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

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

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

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

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

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

Multiply (-4 + x) * (-2 + x)
(-4(-2 + x) + x(-2 + x))(-2 + -3i + x)(-2 + 3i + x) = 0
((-2 * -4 + x * -4) + x(-2 + x))(-2 + -3i + x)(-2 + 3i + x) = 0
((8 + -4x) + x(-2 + x))(-2 + -3i + x)(-2 + 3i + x) = 0
(8 + -4x + (-2 * x + x * x))(-2 + -3i + x)(-2 + 3i + x) = 0
(8 + -4x + (-2x + x²))(-2 + -3i + x)(-2 + 3i + x) = 0

Combine like terms: -4x + -2x = -6x
(8 + -6x + x²)(-2 + -3i + x)(-2 + 3i + x) = 0

Multiply (8 + -6x + x²) * (-2 + -3i + x)
(8(-2 + -3i + x) + -6x * (-2 + -3i + x) + x²(-2 + -3i + x))(-2 + 3i + x) = 0
((-2 * 8 + -3i * 8 + x * 8) + -6x * (-2 + -3i + x) + x²(-2 + -3i + x))(-2 + 3i + x) = 0
((-16 + -24i + 8x) + -6x * (-2 + -3i + x) + x²(-2 + -3i + x))(-2 + 3i + x) = 0
(-16 + -24i + 8x + (-2 * -6x + -3i * -6x + x * -6x) + x²(-2 + -3i + x))(-2 + 3i + x) = 0

Reorder the terms:
(-16 + -24i + 8x + (18ix + 12x + -6x²) + x²(-2 + -3i + x))(-2 + 3i + x) = 0
(-16 + -24i + 8x + (18ix + 12x + -6x²) + x²(-2 + -3i + x))(-2 + 3i + x) = 0
(-16 + -24i + 8x + 18ix + 12x + -6x² + (-2 * x² + -3i * x² + x * x²))(-2 + 3i + x) = 0

Reorder the terms:
(-16 + -24i + 8x + 18ix + 12x + -6x² + (-3ix² + -2x² + x³))(-2 + 3i + x) = 0
(-16 + -24i + 8x + 18ix + 12x + -6x² + (-3ix² + -2x² + x³))(-2 + 3i + x) = 0

Reorder the terms:
(-16 + -24i + 18ix + -3ix² + 8x + 12x + -6x² + -2x² + x³)(-2 + 3i + x) = 0

Combine like terms: 8x + 12x = 20x
(-16 + -24i + 18ix + -3ix² + 20x + -6x² + -2x² + x³)(-2 + 3i + x) = 0

Combine like terms: -6x² + -2x² = -8x²
(-16 + -24i + 18ix + -3ix² + 20x + -8x² + x³)(-2 + 3i + x) = 0

Multiply (-16 + -24i + 18ix + -3ix² + 20x + -8x² + x³) * (-2 + 3i + x)
(-16(-2 + 3i + x) + -24i * (-2 + 3i + x) + 18ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
((-2 * -16 + 3i * -16 + x * -16) + -24i * (-2 + 3i + x) + 18ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
((32 + -48i + -16x) + -24i * (-2 + 3i + x) + 18ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + (-2 * -24i + 3i * -24i + x * -24i) + 18ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0

Reorder the terms:
(32 + -48i + -16x + (48i + -24ix + -72i²) + 18ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + (48i + -24ix + -72i²) + 18ix * (-2 + 3i + x) + -3ix² * (-2 + 3i + x) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + 48i + -24ix + -72i² + (-2 * 18ix + 3i * 18ix + x * 18ix) + -3ix² * (-2 + 3i + x) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0

Reorder the terms:
(32 + -48i + -16x + 48i + -24ix + -72i² + (-36ix + 18ix² + 54i²x) + -3ix² * (-2 + 3i + x) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + 48i + -24ix + -72i² + (-36ix + 18ix² + 54i²x) + -3ix² * (-2 + 3i + x) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + (-2 * -3ix² + 3i * -3ix² + x * -3ix²) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0

Reorder the terms:
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + (6ix² + -3ix³ + -9i²x²) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + (6ix² + -3ix³ + -9i²x²) + 20x * (-2 + 3i + x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + 6ix² + -3ix³ + -9i²x² + (-2 * 20x + 3i * 20x + x * 20x) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0

Reorder the terms:
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + 6ix² + -3ix³ + -9i²x² + (60ix + -40x + 20x²) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + 6ix² + -3ix³ + -9i²x² + (60ix + -40x + 20x²) + -8x² * (-2 + 3i + x) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + 6ix² + -3ix³ + -9i²x² + 60ix + -40x + 20x² + (-2 * -8x² + 3i * -8x² + x * -8x²) + x³(-2 + 3i + x)) = 0

Reorder the terms:
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + 6ix² + -3ix³ + -9i²x² + 60ix + -40x + 20x² + (-24ix² + 16x² + -8x³) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + 6ix² + -3ix³ + -9i²x² + 60ix + -40x + 20x² + (-24ix² + 16x² + -8x³) + x³(-2 + 3i + x)) = 0
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + 6ix² + -3ix³ + -9i²x² + 60ix + -40x + 20x² + -24ix² + 16x² + -8x³ + (-2 * x³ + 3i * x³ + x * x³)) = 0

Reorder the terms:
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + 6ix² + -3ix³ + -9i²x² + 60ix + -40x + 20x² + -24ix² + 16x² + -8x³ + (3ix³ + -2x³ + x⁴)) = 0
(32 + -48i + -16x + 48i + -24ix + -72i² + -36ix + 18ix² + 54i²x + 6ix² + -3ix³ + -9i²x² + 60ix + -40x + 20x² + -24ix² + 16x² + -8x³ + (3ix³ + -2x³ + x⁴)) = 0

Reorder the terms:
(32 + -48i + 48i + -24ix + -36ix + 60ix + 18ix² + 6ix² + -24ix² + -3ix³ + 3ix³ + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0

Combine like terms: -48i + 48i = 0
(32 + 0 + -24ix + -36ix + 60ix + 18ix² + 6ix² + -24ix² + -3ix³ + 3ix³ + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0
(32 + -24ix + -36ix + 60ix + 18ix² + 6ix² + -24ix² + -3ix³ + 3ix³ + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0

Combine like terms: -24ix + -36ix = -60ix
(32 + -60ix + 60ix + 18ix² + 6ix² + -24ix² + -3ix³ + 3ix³ + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0

Combine like terms: -60ix + 60ix = 0
(32 + 0 + 18ix² + 6ix² + -24ix² + -3ix³ + 3ix³ + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0
(32 + 18ix² + 6ix² + -24ix² + -3ix³ + 3ix³ + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0

Combine like terms: 18ix² + 6ix² = 24ix²
(32 + 24ix² + -24ix² + -3ix³ + 3ix³ + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0

Combine like terms: 24ix² + -24ix² = 0
(32 + 0 + -3ix³ + 3ix³ + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0
(32 + -3ix³ + 3ix³ + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0

Combine like terms: -3ix³ + 3ix³ = 0
(32 + 0 + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0
(32 + -72i² + 54i²x + -9i²x² + -16x + -40x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0

Combine like terms: -16x + -40x = -56x
(32 + -72i² + 54i²x + -9i²x² + -56x + 20x² + 16x² + -8x³ + -2x³ + x⁴) = 0

Combine like terms: 20x² + 16x² = 36x²
(32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -8x³ + -2x³ + x⁴) = 0

Combine like terms: -8x³ + -2x³ = -10x³
(32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴) = 0

Solving
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-32' to each side of the equation.
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + -32 + x⁴ = 0 + -32

Reorder the terms:
32 + -32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 0 + -32
-72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 0 + -32

Combine like terms: 0 + -32 = -32
-72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = -32

Add '56x' to each side of the equation.
-72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + 56x + x⁴ = -32 + 56x

Reorder the terms:
-72i² + 54i²x + -9i²x² + -56x + 56x + 36x² + -10x³ + x⁴ = -32 + 56x

Combine like terms: -56x + 56x = 0
-72i² + 54i²x + -9i²x² + 0 + 36x² + -10x³ + x⁴ = -32 + 56x
-72i² + 54i²x + -9i²x² + 36x² + -10x³ + x⁴ = -32 + 56x

Add '-36x²' to each side of the equation.
-72i² + 54i²x + -9i²x² + 36x² + -10x³ + -36x² + x⁴ = -32 + 56x + -36x²

Reorder the terms:
-72i² + 54i²x + -9i²x² + 36x² + -36x² + -10x³ + x⁴ = -32 + 56x + -36x²

Combine like terms: 36x² + -36x² = 0
-72i² + 54i²x + -9i²x² + 0 + -10x³ + x⁴ = -32 + 56x + -36x²
-72i² + 54i²x + -9i²x² + -10x³ + x⁴ = -32 + 56x + -36x²

Add '10x³' to each side of the equation.
-72i² + 54i²x + -9i²x² + -10x³ + 10x³ + x⁴ = -32 + 56x + -36x² + 10x³

Combine like terms: -10x³ + 10x³ = 0
-72i² + 54i²x + -9i²x² + 0 + x⁴ = -32 + 56x + -36x² + 10x³
-72i² + 54i²x + -9i²x² + x⁴ = -32 + 56x + -36x² + 10x³

Add '-1x⁴' to each side of the equation.
-72i² + 54i²x + -9i²x² + x⁴ + -1x⁴ = -32 + 56x + -36x² + 10x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-72i² + 54i²x + -9i²x² + 0 = -32 + 56x + -36x² + 10x³ + -1x⁴
-72i² + 54i²x + -9i²x² = -32 + 56x + -36x² + 10x³ + -1x⁴

Reorder the terms:
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = -32 + 56x + -36x² + 10x³ + -1x⁴ + 32 + -56x + 36x² + -10x³ + x⁴

Reorder the terms:
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = -32 + 32 + 56x + -56x + -36x² + 36x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: -32 + 32 = 0
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 0 + 56x + -56x + -36x² + 36x² + 10x³ + -10x³ + -1x⁴ + x⁴
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 56x + -56x + -36x² + 36x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 56x + -56x = 0
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 0 + -36x² + 36x² + 10x³ + -10x³ + -1x⁴ + x⁴
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = -36x² + 36x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: -36x² + 36x² = 0
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 0 + 10x³ + -10x³ + -1x⁴ + x⁴
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 10x³ + -10x³ = 0
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 0 + -1x⁴ + x⁴
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
32 + -72i² + 54i²x + -9i²x² + -56x + 36x² + -10x³ + x⁴ = 0

The solution to this equation could not be determined.

See similar equations:

| 7x+17=-7x-17 | | 4x-(x-2)=21 | | (5x-2)3=9 | | 20cos(-x-2)=3 | | -4(5x+8)-2=-174 | | -15w-40=23-8v | | 9m+5=5m+33 | | y^2-125y+2500=0 | | 14z+6=-50 | | 61h=9.3-32h | | .3*4=12 | | 4x^3=8 | | 41+x=3 | | 40x+1.5(11(x))=378.55 | | 5-x+4x=1+5x+3 | | 5t+-9=26 | | 11a^2+10a-31=-12+5a | | m+38=86-3m | | 50=(2X-43)+(X) | | 3x+7=-41 | | 4n^2=108+6n | | 8(x+y)=4 | | 15x+y=-12 | | 3(-0.2)-5y=-15 | | y=ln(7-6x) | | 6x+7y=-1 | | -6x^2-x+14=-8 | | 8xy=4 | | 9x^2-16x-256=0 | | 6w-60=4w-4 | | 4x^2-47=-11 | | 3x-5*2=-15 |

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

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

See similar equations:

Equations solver categories