y=(x-(1+2i))*(x-(1-2i))*(x^2+2x+1)

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


Simplifying
y = (x + -1(1 + 2i))(x + -1(1 + -2i))(x2 + 2x + 1)
y = (x + (1 * -1 + 2i * -1))(x + -1(1 + -2i))(x2 + 2x + 1)
y = (x + (-1 + -2i))(x + -1(1 + -2i))(x2 + 2x + 1)

Reorder the terms:
y = (-1 + -2i + x)(x + -1(1 + -2i))(x2 + 2x + 1)
y = (-1 + -2i + x)(x + (1 * -1 + -2i * -1))(x2 + 2x + 1)
y = (-1 + -2i + x)(x + (-1 + 2i))(x2 + 2x + 1)

Reorder the terms:
y = (-1 + -2i + x)(-1 + 2i + x)(x2 + 2x + 1)

Reorder the terms:
y = (-1 + -2i + x)(-1 + 2i + x)(1 + 2x + x2)

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

Reorder the terms:
y = (1 + -2i + -1x + (2i + -2ix + -4i2) + x(-1 + 2i + x))(1 + 2x + x2)
y = (1 + -2i + -1x + (2i + -2ix + -4i2) + x(-1 + 2i + x))(1 + 2x + x2)
y = (1 + -2i + -1x + 2i + -2ix + -4i2 + (-1 * x + 2i * x + x * x))(1 + 2x + x2)

Reorder the terms:
y = (1 + -2i + -1x + 2i + -2ix + -4i2 + (2ix + -1x + x2))(1 + 2x + x2)
y = (1 + -2i + -1x + 2i + -2ix + -4i2 + (2ix + -1x + x2))(1 + 2x + x2)

Reorder the terms:
y = (1 + -2i + 2i + -2ix + 2ix + -4i2 + -1x + -1x + x2)(1 + 2x + x2)

Combine like terms: -2i + 2i = 0
y = (1 + 0 + -2ix + 2ix + -4i2 + -1x + -1x + x2)(1 + 2x + x2)
y = (1 + -2ix + 2ix + -4i2 + -1x + -1x + x2)(1 + 2x + x2)

Combine like terms: -2ix + 2ix = 0
y = (1 + 0 + -4i2 + -1x + -1x + x2)(1 + 2x + x2)
y = (1 + -4i2 + -1x + -1x + x2)(1 + 2x + x2)

Combine like terms: -1x + -1x = -2x
y = (1 + -4i2 + -2x + x2)(1 + 2x + x2)

Multiply (1 + -4i2 + -2x + x2) * (1 + 2x + x2)
y = (1(1 + 2x + x2) + -4i2 * (1 + 2x + x2) + -2x * (1 + 2x + x2) + x2(1 + 2x + x2))
y = ((1 * 1 + 2x * 1 + x2 * 1) + -4i2 * (1 + 2x + x2) + -2x * (1 + 2x + x2) + x2(1 + 2x + x2))
y = ((1 + 2x + 1x2) + -4i2 * (1 + 2x + x2) + -2x * (1 + 2x + x2) + x2(1 + 2x + x2))
y = (1 + 2x + 1x2 + (1 * -4i2 + 2x * -4i2 + x2 * -4i2) + -2x * (1 + 2x + x2) + x2(1 + 2x + x2))
y = (1 + 2x + 1x2 + (-4i2 + -8i2x + -4i2x2) + -2x * (1 + 2x + x2) + x2(1 + 2x + x2))
y = (1 + 2x + 1x2 + -4i2 + -8i2x + -4i2x2 + (1 * -2x + 2x * -2x + x2 * -2x) + x2(1 + 2x + x2))
y = (1 + 2x + 1x2 + -4i2 + -8i2x + -4i2x2 + (-2x + -4x2 + -2x3) + x2(1 + 2x + x2))
y = (1 + 2x + 1x2 + -4i2 + -8i2x + -4i2x2 + -2x + -4x2 + -2x3 + (1 * x2 + 2x * x2 + x2 * x2))
y = (1 + 2x + 1x2 + -4i2 + -8i2x + -4i2x2 + -2x + -4x2 + -2x3 + (1x2 + 2x3 + x4))

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

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

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

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

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

Solving
y = 1 + -4i2 + -8i2x + -4i2x2 + -2x2 + x4

Solving for variable 'y'.

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

Simplifying
y = 1 + -4i2 + -8i2x + -4i2x2 + -2x2 + x4

See similar equations:

| 3x-x+15=75 | | 12=2h-3(2h-2) | | 2x*2x=50 | | (((((1x5)x109-13/4)-46)-48 | | (((((1*5)*109-13/4)-46)-48 | | 2(p-2)=3(p+3) | | 3(h-1)+4(1-2h)= | | 3(2b-6)=12 | | 3k(2-k)-5(2k-1)= | | 8y+2=13-3y | | 10x+35=9 | | 2cos(5x^2)= | | 5(3p+4)=-2(2-6p) | | 2x-7(x-6)=2 | | 3x+9s= | | 3x+7=5*2x | | X*.7=500 | | X*.3=500 | | X^3=5000 | | 2a-2a= | | x^4+7x^3+8x^2-7x+1=0 | | x^3+2x^2+4x=9x+6 | | 2x+x+5=71 | | 2x+6z=18 | | 2-6t-9-21= | | x=2.4e+9 | | (y+2)(y+5)=(2y-1)(y+6) | | 5t^2+4t-80=0 | | 12/-2x | | X^3-12x^2-53x-30=0 | | x^3+1-7x=0 | | 2x^3-9x=3 |

Equations solver categories