f(x)=(x-1)(x-4+2i)(x-2+i)

Simple and best practice solution for f(x)=(x-1)(x-4+2i)(x-2+i) 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 f(x)=(x-1)(x-4+2i)(x-2+i) equation: 


Simplifying
f(x) = (x + -1)(x + -4 + 2i)(x + -2 + i)

Multiply f * x
fx = (x + -1)(x + -4 + 2i)(x + -2 + i)

Reorder the terms:
fx = (-1 + x)(x + -4 + 2i)(x + -2 + i)

Reorder the terms:
fx = (-1 + x)(-4 + 2i + x)(x + -2 + i)

Reorder the terms:
fx = (-1 + x)(-4 + 2i + x)(-2 + i + x)

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

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

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

Combine like terms: -1x + -4x = -5x
fx = (4 + -2i + 2ix + -5x + x2)(-2 + i + x)

Multiply (4 + -2i + 2ix + -5x + x2) * (-2 + i + x)
fx = (4(-2 + i + x) + -2i * (-2 + i + x) + 2ix * (-2 + i + x) + -5x * (-2 + i + x) + x2(-2 + i + x))
fx = ((-2 * 4 + i * 4 + x * 4) + -2i * (-2 + i + x) + 2ix * (-2 + i + x) + -5x * (-2 + i + x) + x2(-2 + i + x))
fx = ((-8 + 4i + 4x) + -2i * (-2 + i + x) + 2ix * (-2 + i + x) + -5x * (-2 + i + x) + x2(-2 + i + x))
fx = (-8 + 4i + 4x + (-2 * -2i + i * -2i + x * -2i) + 2ix * (-2 + i + x) + -5x * (-2 + i + x) + x2(-2 + i + x))

Reorder the terms:
fx = (-8 + 4i + 4x + (4i + -2ix + -2i2) + 2ix * (-2 + i + x) + -5x * (-2 + i + x) + x2(-2 + i + x))
fx = (-8 + 4i + 4x + (4i + -2ix + -2i2) + 2ix * (-2 + i + x) + -5x * (-2 + i + x) + x2(-2 + i + x))
fx = (-8 + 4i + 4x + 4i + -2ix + -2i2 + (-2 * 2ix + i * 2ix + x * 2ix) + -5x * (-2 + i + x) + x2(-2 + i + x))

Reorder the terms:
fx = (-8 + 4i + 4x + 4i + -2ix + -2i2 + (-4ix + 2ix2 + 2i2x) + -5x * (-2 + i + x) + x2(-2 + i + x))
fx = (-8 + 4i + 4x + 4i + -2ix + -2i2 + (-4ix + 2ix2 + 2i2x) + -5x * (-2 + i + x) + x2(-2 + i + x))
fx = (-8 + 4i + 4x + 4i + -2ix + -2i2 + -4ix + 2ix2 + 2i2x + (-2 * -5x + i * -5x + x * -5x) + x2(-2 + i + x))

Reorder the terms:
fx = (-8 + 4i + 4x + 4i + -2ix + -2i2 + -4ix + 2ix2 + 2i2x + (-5ix + 10x + -5x2) + x2(-2 + i + x))
fx = (-8 + 4i + 4x + 4i + -2ix + -2i2 + -4ix + 2ix2 + 2i2x + (-5ix + 10x + -5x2) + x2(-2 + i + x))
fx = (-8 + 4i + 4x + 4i + -2ix + -2i2 + -4ix + 2ix2 + 2i2x + -5ix + 10x + -5x2 + (-2 * x2 + i * x2 + x * x2))

Reorder the terms:
fx = (-8 + 4i + 4x + 4i + -2ix + -2i2 + -4ix + 2ix2 + 2i2x + -5ix + 10x + -5x2 + (ix2 + -2x2 + x3))
fx = (-8 + 4i + 4x + 4i + -2ix + -2i2 + -4ix + 2ix2 + 2i2x + -5ix + 10x + -5x2 + (ix2 + -2x2 + x3))

Reorder the terms:
fx = (-8 + 4i + 4i + -2ix + -4ix + -5ix + 2ix2 + ix2 + -2i2 + 2i2x + 4x + 10x + -5x2 + -2x2 + x3)

Combine like terms: 4i + 4i = 8i
fx = (-8 + 8i + -2ix + -4ix + -5ix + 2ix2 + ix2 + -2i2 + 2i2x + 4x + 10x + -5x2 + -2x2 + x3)

Combine like terms: -2ix + -4ix = -6ix
fx = (-8 + 8i + -6ix + -5ix + 2ix2 + ix2 + -2i2 + 2i2x + 4x + 10x + -5x2 + -2x2 + x3)

Combine like terms: -6ix + -5ix = -11ix
fx = (-8 + 8i + -11ix + 2ix2 + ix2 + -2i2 + 2i2x + 4x + 10x + -5x2 + -2x2 + x3)

Combine like terms: 2ix2 + ix2 = 3ix2
fx = (-8 + 8i + -11ix + 3ix2 + -2i2 + 2i2x + 4x + 10x + -5x2 + -2x2 + x3)

Combine like terms: 4x + 10x = 14x
fx = (-8 + 8i + -11ix + 3ix2 + -2i2 + 2i2x + 14x + -5x2 + -2x2 + x3)

Combine like terms: -5x2 + -2x2 = -7x2
fx = (-8 + 8i + -11ix + 3ix2 + -2i2 + 2i2x + 14x + -7x2 + x3)

Solving
fx = -8 + 8i + -11ix + 3ix2 + -2i2 + 2i2x + 14x + -7x2 + x3

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -8x-1 + 8ix-1 + -11i + 3ix + -2i2x-1 + 2i2 + 14 + -7x + x2

Simplifying
f = -8x-1 + 8ix-1 + -11i + 3ix + -2i2x-1 + 2i2 + 14 + -7x + x2

Reorder the terms:
f = 14 + -11i + 8ix-1 + 3ix + 2i2 + -2i2x-1 + -8x-1 + -7x + x2

See similar equations:

| 2u+2+7=3u-6+2u | | 3v+3+2v=5v-5+5 | | 5(x+5)=3+4x | | 4u-4+6u=2u+4-8 | | -2y-2+5y=3y+3-2 | | 3x-0.8=2.4x+1.6 | | 4u+8-1u=2u-2+9 | | 24x^3-6x+1=0 | | 26y+5=9y | | 2x+5(x+3)=0 | | 8a+4a-6a+4b= | | 6/258 | | 25x+1x=622 | | 258/6 | | cosx(sinx-3cosx)=0 | | 25x+6x=622 | | 6cos(x)+2=-8cos(x)-5 | | 10z= | | m+5=2m | | 3x-15=x-7 | | 14sin(x)+14=0 | | Sin(x)=-19sin(x) | | 4(x+9)=5(x-2) | | (X+1)(X+2)(x-13)(x+4)=0 | | 3y+5x+8=180 | | 4x+9=3x-2x+7 | | 3x+2+4x=24 | | (2/3*4) | | 3sc=12 | | B+6a-11a+b= | | 7b+2a-4v+6= | | -(3x^3)+(11x^2)-(17x)+11=0 |

Equations solver categories