(x+1)(x-2)(x-1+2i)(x-1-2i)=0

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


Simplifying
(x + 1)(x + -2)(x + -1 + 2i)(x + -1 + -2i) = 0

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

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

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

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

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

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

Multiply (-2 + -1x + x2) * (-1 + 2i + x)
(-2(-1 + 2i + x) + -1x * (-1 + 2i + x) + x2(-1 + 2i + x))(-1 + -2i + x) = 0
((-1 * -2 + 2i * -2 + x * -2) + -1x * (-1 + 2i + x) + x2(-1 + 2i + x))(-1 + -2i + x) = 0
((2 + -4i + -2x) + -1x * (-1 + 2i + x) + x2(-1 + 2i + x))(-1 + -2i + x) = 0
(2 + -4i + -2x + (-1 * -1x + 2i * -1x + x * -1x) + x2(-1 + 2i + x))(-1 + -2i + x) = 0

Reorder the terms:
(2 + -4i + -2x + (-2ix + 1x + -1x2) + x2(-1 + 2i + x))(-1 + -2i + x) = 0
(2 + -4i + -2x + (-2ix + 1x + -1x2) + x2(-1 + 2i + x))(-1 + -2i + x) = 0
(2 + -4i + -2x + -2ix + 1x + -1x2 + (-1 * x2 + 2i * x2 + x * x2))(-1 + -2i + x) = 0

Reorder the terms:
(2 + -4i + -2x + -2ix + 1x + -1x2 + (2ix2 + -1x2 + x3))(-1 + -2i + x) = 0
(2 + -4i + -2x + -2ix + 1x + -1x2 + (2ix2 + -1x2 + x3))(-1 + -2i + x) = 0

Reorder the terms:
(2 + -4i + -2ix + 2ix2 + -2x + 1x + -1x2 + -1x2 + x3)(-1 + -2i + x) = 0

Combine like terms: -2x + 1x = -1x
(2 + -4i + -2ix + 2ix2 + -1x + -1x2 + -1x2 + x3)(-1 + -2i + x) = 0

Combine like terms: -1x2 + -1x2 = -2x2
(2 + -4i + -2ix + 2ix2 + -1x + -2x2 + x3)(-1 + -2i + x) = 0

Multiply (2 + -4i + -2ix + 2ix2 + -1x + -2x2 + x3) * (-1 + -2i + x)
(2(-1 + -2i + x) + -4i * (-1 + -2i + x) + -2ix * (-1 + -2i + x) + 2ix2 * (-1 + -2i + x) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
((-1 * 2 + -2i * 2 + x * 2) + -4i * (-1 + -2i + x) + -2ix * (-1 + -2i + x) + 2ix2 * (-1 + -2i + x) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
((-2 + -4i + 2x) + -4i * (-1 + -2i + x) + -2ix * (-1 + -2i + x) + 2ix2 * (-1 + -2i + x) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + (-1 * -4i + -2i * -4i + x * -4i) + -2ix * (-1 + -2i + x) + 2ix2 * (-1 + -2i + x) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0

Reorder the terms:
(-2 + -4i + 2x + (4i + -4ix + 8i2) + -2ix * (-1 + -2i + x) + 2ix2 * (-1 + -2i + x) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + (4i + -4ix + 8i2) + -2ix * (-1 + -2i + x) + 2ix2 * (-1 + -2i + x) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + 4i + -4ix + 8i2 + (-1 * -2ix + -2i * -2ix + x * -2ix) + 2ix2 * (-1 + -2i + x) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0

Reorder the terms:
(-2 + -4i + 2x + 4i + -4ix + 8i2 + (2ix + -2ix2 + 4i2x) + 2ix2 * (-1 + -2i + x) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + 4i + -4ix + 8i2 + (2ix + -2ix2 + 4i2x) + 2ix2 * (-1 + -2i + x) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + (-1 * 2ix2 + -2i * 2ix2 + x * 2ix2) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0

Reorder the terms:
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + (-2ix2 + 2ix3 + -4i2x2) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + (-2ix2 + 2ix3 + -4i2x2) + -1x * (-1 + -2i + x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + -2ix2 + 2ix3 + -4i2x2 + (-1 * -1x + -2i * -1x + x * -1x) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0

Reorder the terms:
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + -2ix2 + 2ix3 + -4i2x2 + (2ix + 1x + -1x2) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + -2ix2 + 2ix3 + -4i2x2 + (2ix + 1x + -1x2) + -2x2 * (-1 + -2i + x) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + -2ix2 + 2ix3 + -4i2x2 + 2ix + 1x + -1x2 + (-1 * -2x2 + -2i * -2x2 + x * -2x2) + x3(-1 + -2i + x)) = 0

Reorder the terms:
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + -2ix2 + 2ix3 + -4i2x2 + 2ix + 1x + -1x2 + (4ix2 + 2x2 + -2x3) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + -2ix2 + 2ix3 + -4i2x2 + 2ix + 1x + -1x2 + (4ix2 + 2x2 + -2x3) + x3(-1 + -2i + x)) = 0
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + -2ix2 + 2ix3 + -4i2x2 + 2ix + 1x + -1x2 + 4ix2 + 2x2 + -2x3 + (-1 * x3 + -2i * x3 + x * x3)) = 0

Reorder the terms:
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + -2ix2 + 2ix3 + -4i2x2 + 2ix + 1x + -1x2 + 4ix2 + 2x2 + -2x3 + (-2ix3 + -1x3 + x4)) = 0
(-2 + -4i + 2x + 4i + -4ix + 8i2 + 2ix + -2ix2 + 4i2x + -2ix2 + 2ix3 + -4i2x2 + 2ix + 1x + -1x2 + 4ix2 + 2x2 + -2x3 + (-2ix3 + -1x3 + x4)) = 0

Reorder the terms:
(-2 + -4i + 4i + -4ix + 2ix + 2ix + -2ix2 + -2ix2 + 4ix2 + 2ix3 + -2ix3 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: -4i + 4i = 0
(-2 + 0 + -4ix + 2ix + 2ix + -2ix2 + -2ix2 + 4ix2 + 2ix3 + -2ix3 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0
(-2 + -4ix + 2ix + 2ix + -2ix2 + -2ix2 + 4ix2 + 2ix3 + -2ix3 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: -4ix + 2ix = -2ix
(-2 + -2ix + 2ix + -2ix2 + -2ix2 + 4ix2 + 2ix3 + -2ix3 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: -2ix + 2ix = 0
(-2 + 0 + -2ix2 + -2ix2 + 4ix2 + 2ix3 + -2ix3 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0
(-2 + -2ix2 + -2ix2 + 4ix2 + 2ix3 + -2ix3 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: -2ix2 + -2ix2 = -4ix2
(-2 + -4ix2 + 4ix2 + 2ix3 + -2ix3 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: -4ix2 + 4ix2 = 0
(-2 + 0 + 2ix3 + -2ix3 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0
(-2 + 2ix3 + -2ix3 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: 2ix3 + -2ix3 = 0
(-2 + 0 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0
(-2 + 8i2 + 4i2x + -4i2x2 + 2x + 1x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: 2x + 1x = 3x
(-2 + 8i2 + 4i2x + -4i2x2 + 3x + -1x2 + 2x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: -1x2 + 2x2 = 1x2
(-2 + 8i2 + 4i2x + -4i2x2 + 3x + 1x2 + -2x3 + -1x3 + x4) = 0

Combine like terms: -2x3 + -1x3 = -3x3
(-2 + 8i2 + 4i2x + -4i2x2 + 3x + 1x2 + -3x3 + x4) = 0

Solving
-2 + 8i2 + 4i2x + -4i2x2 + 3x + 1x2 + -3x3 + 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 + 8i2 + 4i2x + -4i2x2 + 3x + 1x2 + -3x3 + 2 + x4 = 0 + 2

Reorder the terms:
-2 + 2 + 8i2 + 4i2x + -4i2x2 + 3x + 1x2 + -3x3 + x4 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 8i2 + 4i2x + -4i2x2 + 3x + 1x2 + -3x3 + x4 = 0 + 2
8i2 + 4i2x + -4i2x2 + 3x + 1x2 + -3x3 + x4 = 0 + 2

Combine like terms: 0 + 2 = 2
8i2 + 4i2x + -4i2x2 + 3x + 1x2 + -3x3 + x4 = 2

Add '-3x' to each side of the equation.
8i2 + 4i2x + -4i2x2 + 3x + 1x2 + -3x3 + -3x + x4 = 2 + -3x

Reorder the terms:
8i2 + 4i2x + -4i2x2 + 3x + -3x + 1x2 + -3x3 + x4 = 2 + -3x

Combine like terms: 3x + -3x = 0
8i2 + 4i2x + -4i2x2 + 0 + 1x2 + -3x3 + x4 = 2 + -3x
8i2 + 4i2x + -4i2x2 + 1x2 + -3x3 + x4 = 2 + -3x

Add '-1x2' to each side of the equation.
8i2 + 4i2x + -4i2x2 + 1x2 + -3x3 + -1x2 + x4 = 2 + -3x + -1x2

Reorder the terms:
8i2 + 4i2x + -4i2x2 + 1x2 + -1x2 + -3x3 + x4 = 2 + -3x + -1x2

Combine like terms: 1x2 + -1x2 = 0
8i2 + 4i2x + -4i2x2 + 0 + -3x3 + x4 = 2 + -3x + -1x2
8i2 + 4i2x + -4i2x2 + -3x3 + x4 = 2 + -3x + -1x2

Add '3x3' to each side of the equation.
8i2 + 4i2x + -4i2x2 + -3x3 + 3x3 + x4 = 2 + -3x + -1x2 + 3x3

Combine like terms: -3x3 + 3x3 = 0
8i2 + 4i2x + -4i2x2 + 0 + x4 = 2 + -3x + -1x2 + 3x3
8i2 + 4i2x + -4i2x2 + x4 = 2 + -3x + -1x2 + 3x3

Add '-1x4' to each side of the equation.
8i2 + 4i2x + -4i2x2 + x4 + -1x4 = 2 + -3x + -1x2 + 3x3 + -1x4

Combine like terms: x4 + -1x4 = 0
8i2 + 4i2x + -4i2x2 + 0 = 2 + -3x + -1x2 + 3x3 + -1x4
8i2 + 4i2x + -4i2x2 = 2 + -3x + -1x2 + 3x3 + -1x4

Reorder the terms:
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = 2 + -3x + -1x2 + 3x3 + -1x4 + -2 + 3x + x2 + -3x3 + x4

Reorder the terms:
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = 2 + -2 + -3x + 3x + -1x2 + x2 + 3x3 + -3x3 + -1x4 + x4

Combine like terms: 2 + -2 = 0
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = 0 + -3x + 3x + -1x2 + x2 + 3x3 + -3x3 + -1x4 + x4
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = -3x + 3x + -1x2 + x2 + 3x3 + -3x3 + -1x4 + x4

Combine like terms: -3x + 3x = 0
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = 0 + -1x2 + x2 + 3x3 + -3x3 + -1x4 + x4
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = -1x2 + x2 + 3x3 + -3x3 + -1x4 + x4

Combine like terms: -1x2 + x2 = 0
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = 0 + 3x3 + -3x3 + -1x4 + x4
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = 3x3 + -3x3 + -1x4 + x4

Combine like terms: 3x3 + -3x3 = 0
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = 0 + -1x4 + x4
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-2 + 8i2 + 4i2x + -4i2x2 + 3x + x2 + -3x3 + x4 = 0

The solution to this equation could not be determined.

See similar equations:

| x/55=-13/11 | | -3(-2+2x)=4(6-4x) | | x-0.25=22.50 | | 2v+3(v-2)= | | 4.6x+2=4.3 | | 2[5]x-1[3]x=5 | | 6j-8=58 | | 3b+5=7b-2 | | x^2-2k(x+3)=6x+2 | | x/65=-10/13 | | 2Ln(x)+ln(38)=ln(19)+ln(x) | | 1[2](4x-10)=1[3](15x-6) | | 13r-17r=36 | | Ln(x)+ln(38)=ln(19)+ln(x) | | 2a+b=90000 | | 6x-5=16x-5 | | 9(x+6)+3=15x-6(x-4) | | 4y^2-y=2 | | 40=20+2w | | f(x)=40x^5-42x^4-107x^3+33x-36 | | ax+y=2x | | 30-(-x+6)+(-5x+4)=(5x+6)+(-8+3x) | | 10x-11=5x+7 | | 1/4K=-25 | | f(x)=6x^3-3x^2+12x+5 | | 5t-4=t+13 | | 64x^3+4x=0 | | -3.2x=53.76 | | -3.2=53.76 | | 6x+19=13x-7 | | f(x)=2x^4-9x^3+37x-30 | | -2(t-7)-(t+2)=11 |

Equations solver categories