(x-4)(x+1+i)(x-1-i)=0

Simple and best practice solution for (x-4)(x+1+i)(x-1-i)=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+1+i)(x-1-i)=0 equation:


Simplifying
(x + -4)(x + 1 + i)(x + -1 + -1i) = 0

Reorder the terms:
(-4 + x)(x + 1 + i)(x + -1 + -1i) = 0

Reorder the terms:
(-4 + x)(1 + i + x)(x + -1 + -1i) = 0

Reorder the terms:
(-4 + x)(1 + i + x)(-1 + -1i + x) = 0

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

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

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

Combine like terms: -4x + 1x = -3x
(-4 + -4i + ix + -3x + x2)(-1 + -1i + x) = 0

Multiply (-4 + -4i + ix + -3x + x2) * (-1 + -1i + x)
(-4(-1 + -1i + x) + -4i * (-1 + -1i + x) + ix(-1 + -1i + x) + -3x * (-1 + -1i + x) + x2(-1 + -1i + x)) = 0
((-1 * -4 + -1i * -4 + x * -4) + -4i * (-1 + -1i + x) + ix(-1 + -1i + x) + -3x * (-1 + -1i + x) + x2(-1 + -1i + x)) = 0
((4 + 4i + -4x) + -4i * (-1 + -1i + x) + ix(-1 + -1i + x) + -3x * (-1 + -1i + x) + x2(-1 + -1i + x)) = 0
(4 + 4i + -4x + (-1 * -4i + -1i * -4i + x * -4i) + ix(-1 + -1i + x) + -3x * (-1 + -1i + x) + x2(-1 + -1i + x)) = 0

Reorder the terms:
(4 + 4i + -4x + (4i + -4ix + 4i2) + ix(-1 + -1i + x) + -3x * (-1 + -1i + x) + x2(-1 + -1i + x)) = 0
(4 + 4i + -4x + (4i + -4ix + 4i2) + ix(-1 + -1i + x) + -3x * (-1 + -1i + x) + x2(-1 + -1i + x)) = 0
(4 + 4i + -4x + 4i + -4ix + 4i2 + (-1 * ix + -1i * ix + x * ix) + -3x * (-1 + -1i + x) + x2(-1 + -1i + x)) = 0

Reorder the terms:
(4 + 4i + -4x + 4i + -4ix + 4i2 + (-1ix + ix2 + -1i2x) + -3x * (-1 + -1i + x) + x2(-1 + -1i + x)) = 0
(4 + 4i + -4x + 4i + -4ix + 4i2 + (-1ix + ix2 + -1i2x) + -3x * (-1 + -1i + x) + x2(-1 + -1i + x)) = 0
(4 + 4i + -4x + 4i + -4ix + 4i2 + -1ix + ix2 + -1i2x + (-1 * -3x + -1i * -3x + x * -3x) + x2(-1 + -1i + x)) = 0

Reorder the terms:
(4 + 4i + -4x + 4i + -4ix + 4i2 + -1ix + ix2 + -1i2x + (3ix + 3x + -3x2) + x2(-1 + -1i + x)) = 0
(4 + 4i + -4x + 4i + -4ix + 4i2 + -1ix + ix2 + -1i2x + (3ix + 3x + -3x2) + x2(-1 + -1i + x)) = 0
(4 + 4i + -4x + 4i + -4ix + 4i2 + -1ix + ix2 + -1i2x + 3ix + 3x + -3x2 + (-1 * x2 + -1i * x2 + x * x2)) = 0

Reorder the terms:
(4 + 4i + -4x + 4i + -4ix + 4i2 + -1ix + ix2 + -1i2x + 3ix + 3x + -3x2 + (-1ix2 + -1x2 + x3)) = 0
(4 + 4i + -4x + 4i + -4ix + 4i2 + -1ix + ix2 + -1i2x + 3ix + 3x + -3x2 + (-1ix2 + -1x2 + x3)) = 0

Reorder the terms:
(4 + 4i + 4i + -4ix + -1ix + 3ix + ix2 + -1ix2 + 4i2 + -1i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0

Combine like terms: 4i + 4i = 8i
(4 + 8i + -4ix + -1ix + 3ix + ix2 + -1ix2 + 4i2 + -1i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0

Combine like terms: -4ix + -1ix = -5ix
(4 + 8i + -5ix + 3ix + ix2 + -1ix2 + 4i2 + -1i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0

Combine like terms: -5ix + 3ix = -2ix
(4 + 8i + -2ix + ix2 + -1ix2 + 4i2 + -1i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0

Combine like terms: ix2 + -1ix2 = 0
(4 + 8i + -2ix + 0 + 4i2 + -1i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0
(4 + 8i + -2ix + 4i2 + -1i2x + -4x + 3x + -3x2 + -1x2 + x3) = 0

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

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

Solving
4 + 8i + -2ix + 4i2 + -1i2x + -1x + -4x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

See similar equations:

| (x^2)+12x+5=0 | | -3(r+9)=-43 | | H(t)=16t^2+32t+16 | | (7)(7)-(5)(7)+c=0 | | 15x-5=3(5x+1) | | -8(7)+5+10(7)=19 | | solvec+k=gfork | | 100+30x=400-20x | | c+k=g | | 3x+32x-3=7(5x+8) | | -8x+5+10x=19 | | 49x^2+22=23 | | (x)(x)-4x-32=0 | | 21=8x-32 | | 2x-5y-2(2x+3y)-y= | | 4x+24x-6=7(4x+8) | | 7+w=2w+10 | | -4(3)+10=3(3)-11 | | 3=48/m | | n+(n+24)=90 | | 50q+6=68 | | 9x-1=-1x+49 | | 25t=500 | | 110x-66=11(10x-6) | | 4x^2+12-27=0 | | 4(x+1)=3x-4 | | (-x)(-x)=-4x-32 | | 2d^2+d-10=0 | | B-4+6b=29 | | 20x^2-2x-6=0 | | 44x+82=44x+35 | | 3(x+6)=6 |

Equations solver categories