f(x)=(x-5)(x-(4+i))(x-(4-i))

Simple and best practice solution for f(x)=(x-5)(x-(4+i))(x-(4-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-5)(x-(4+i))(x-(4-i)) equation: 


Simplifying
f(x) = (x + -5)(x + -1(4 + i))(x + -1(4 + -1i))

Multiply f * x
fx = (x + -5)(x + -1(4 + i))(x + -1(4 + -1i))

Reorder the terms:
fx = (-5 + x)(x + -1(4 + i))(x + -1(4 + -1i))
fx = (-5 + x)(x + (4 * -1 + i * -1))(x + -1(4 + -1i))
fx = (-5 + x)(x + (-4 + -1i))(x + -1(4 + -1i))

Reorder the terms:
fx = (-5 + x)(-4 + -1i + x)(x + -1(4 + -1i))
fx = (-5 + x)(-4 + -1i + x)(x + (4 * -1 + -1i * -1))
fx = (-5 + x)(-4 + -1i + x)(x + (-4 + 1i))

Reorder the terms:
fx = (-5 + x)(-4 + -1i + x)(-4 + 1i + x)

Multiply (-5 + x) * (-4 + -1i + x)
fx = (-5(-4 + -1i + x) + x(-4 + -1i + x))(-4 + 1i + x)
fx = ((-4 * -5 + -1i * -5 + x * -5) + x(-4 + -1i + x))(-4 + 1i + x)
fx = ((20 + 5i + -5x) + x(-4 + -1i + x))(-4 + 1i + x)
fx = (20 + 5i + -5x + (-4 * x + -1i * x + x * x))(-4 + 1i + x)

Reorder the terms:
fx = (20 + 5i + -5x + (-1ix + -4x + x2))(-4 + 1i + x)
fx = (20 + 5i + -5x + (-1ix + -4x + x2))(-4 + 1i + x)

Reorder the terms:
fx = (20 + 5i + -1ix + -5x + -4x + x2)(-4 + 1i + x)

Combine like terms: -5x + -4x = -9x
fx = (20 + 5i + -1ix + -9x + x2)(-4 + 1i + x)

Multiply (20 + 5i + -1ix + -9x + x2) * (-4 + 1i + x)
fx = (20(-4 + 1i + x) + 5i * (-4 + 1i + x) + -1ix * (-4 + 1i + x) + -9x * (-4 + 1i + x) + x2(-4 + 1i + x))
fx = ((-4 * 20 + 1i * 20 + x * 20) + 5i * (-4 + 1i + x) + -1ix * (-4 + 1i + x) + -9x * (-4 + 1i + x) + x2(-4 + 1i + x))
fx = ((-80 + 20i + 20x) + 5i * (-4 + 1i + x) + -1ix * (-4 + 1i + x) + -9x * (-4 + 1i + x) + x2(-4 + 1i + x))
fx = (-80 + 20i + 20x + (-4 * 5i + 1i * 5i + x * 5i) + -1ix * (-4 + 1i + x) + -9x * (-4 + 1i + x) + x2(-4 + 1i + x))

Reorder the terms:
fx = (-80 + 20i + 20x + (-20i + 5ix + 5i2) + -1ix * (-4 + 1i + x) + -9x * (-4 + 1i + x) + x2(-4 + 1i + x))
fx = (-80 + 20i + 20x + (-20i + 5ix + 5i2) + -1ix * (-4 + 1i + x) + -9x * (-4 + 1i + x) + x2(-4 + 1i + x))
fx = (-80 + 20i + 20x + -20i + 5ix + 5i2 + (-4 * -1ix + 1i * -1ix + x * -1ix) + -9x * (-4 + 1i + x) + x2(-4 + 1i + x))

Reorder the terms:
fx = (-80 + 20i + 20x + -20i + 5ix + 5i2 + (4ix + -1ix2 + -1i2x) + -9x * (-4 + 1i + x) + x2(-4 + 1i + x))
fx = (-80 + 20i + 20x + -20i + 5ix + 5i2 + (4ix + -1ix2 + -1i2x) + -9x * (-4 + 1i + x) + x2(-4 + 1i + x))
fx = (-80 + 20i + 20x + -20i + 5ix + 5i2 + 4ix + -1ix2 + -1i2x + (-4 * -9x + 1i * -9x + x * -9x) + x2(-4 + 1i + x))

Reorder the terms:
fx = (-80 + 20i + 20x + -20i + 5ix + 5i2 + 4ix + -1ix2 + -1i2x + (-9ix + 36x + -9x2) + x2(-4 + 1i + x))
fx = (-80 + 20i + 20x + -20i + 5ix + 5i2 + 4ix + -1ix2 + -1i2x + (-9ix + 36x + -9x2) + x2(-4 + 1i + x))
fx = (-80 + 20i + 20x + -20i + 5ix + 5i2 + 4ix + -1ix2 + -1i2x + -9ix + 36x + -9x2 + (-4 * x2 + 1i * x2 + x * x2))

Reorder the terms:
fx = (-80 + 20i + 20x + -20i + 5ix + 5i2 + 4ix + -1ix2 + -1i2x + -9ix + 36x + -9x2 + (1ix2 + -4x2 + x3))
fx = (-80 + 20i + 20x + -20i + 5ix + 5i2 + 4ix + -1ix2 + -1i2x + -9ix + 36x + -9x2 + (1ix2 + -4x2 + x3))

Reorder the terms:
fx = (-80 + 20i + -20i + 5ix + 4ix + -9ix + -1ix2 + 1ix2 + 5i2 + -1i2x + 20x + 36x + -9x2 + -4x2 + x3)

Combine like terms: 20i + -20i = 0
fx = (-80 + 0 + 5ix + 4ix + -9ix + -1ix2 + 1ix2 + 5i2 + -1i2x + 20x + 36x + -9x2 + -4x2 + x3)
fx = (-80 + 5ix + 4ix + -9ix + -1ix2 + 1ix2 + 5i2 + -1i2x + 20x + 36x + -9x2 + -4x2 + x3)

Combine like terms: 5ix + 4ix = 9ix
fx = (-80 + 9ix + -9ix + -1ix2 + 1ix2 + 5i2 + -1i2x + 20x + 36x + -9x2 + -4x2 + x3)

Combine like terms: 9ix + -9ix = 0
fx = (-80 + 0 + -1ix2 + 1ix2 + 5i2 + -1i2x + 20x + 36x + -9x2 + -4x2 + x3)
fx = (-80 + -1ix2 + 1ix2 + 5i2 + -1i2x + 20x + 36x + -9x2 + -4x2 + x3)

Combine like terms: -1ix2 + 1ix2 = 0
fx = (-80 + 0 + 5i2 + -1i2x + 20x + 36x + -9x2 + -4x2 + x3)
fx = (-80 + 5i2 + -1i2x + 20x + 36x + -9x2 + -4x2 + x3)

Combine like terms: 20x + 36x = 56x
fx = (-80 + 5i2 + -1i2x + 56x + -9x2 + -4x2 + x3)

Combine like terms: -9x2 + -4x2 = -13x2
fx = (-80 + 5i2 + -1i2x + 56x + -13x2 + x3)

Solving
fx = -80 + 5i2 + -1i2x + 56x + -13x2 + 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 = -80x-1 + 5i2x-1 + -1i2 + 56 + -13x + x2

Simplifying
f = -80x-1 + 5i2x-1 + -1i2 + 56 + -13x + x2

Reorder the terms:
f = 56 + -1i2 + 5i2x-1 + -80x-1 + -13x + x2

See similar equations:

| 5=10+-0.5q | | 5=10+-.5q | | .6x+2=.5x | | -6x+35=-4x+23 | | .13x+.18x=.16(x+50) | | x^3-6=21 | | 10=20+-2q | | .13x+.18x=.16x+50 | | 3k^2-18k-15=0 | | 8=20-2q | | 400=150 | | 0.02(6t-1)=0.12(t-3)+0.34 | | 3n-(2+4)= | | 15x+590=545+20x | | 3n-(2+5)= | | x+xy+y-30=0 | | 3n-(2+6)= | | .02(6t-1)=.12(t-3)+.34 | | 3a+2b=54 | | -22x+134=-14x+86 | | 3x+5+5x-25+4x+10=180 | | 1000/(3/5) | | 12+2x=36+1x | | 4x-2(x-1)=x-22 | | x^4=.17 | | 18=1-g | | 0=-3x^2+2x-2 | | 19+5r=4r+6(-1+r) | | p-3=4+x | | 2(-10+6x)=52 | | -2k-3(1+k)-4=0 | | -5+6=-12u+62 |

Equations solver categories