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

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


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

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

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

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

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

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

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

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

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

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

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

Combine like terms: ix2 + -1ix2 = 0
(0 + 4i2 + -1i2x + -4x2 + x3) = 0
(4i2 + -1i2x + -4x2 + x3) = 0

Solving
4i2 + -1i2x + -4x2 + x3 = 0

Solving for variable 'i'.

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

Add '4x2' to each side of the equation.
4i2 + -1i2x + -4x2 + 4x2 + x3 = 0 + 4x2

Combine like terms: -4x2 + 4x2 = 0
4i2 + -1i2x + 0 + x3 = 0 + 4x2
4i2 + -1i2x + x3 = 0 + 4x2
Remove the zero:
4i2 + -1i2x + x3 = 4x2

Add '-1x3' to each side of the equation.
4i2 + -1i2x + x3 + -1x3 = 4x2 + -1x3

Combine like terms: x3 + -1x3 = 0
4i2 + -1i2x + 0 = 4x2 + -1x3
4i2 + -1i2x = 4x2 + -1x3

Reorder the terms:
4i2 + -1i2x + -4x2 + x3 = 4x2 + -4x2 + -1x3 + x3

Combine like terms: 4x2 + -4x2 = 0
4i2 + -1i2x + -4x2 + x3 = 0 + -1x3 + x3
4i2 + -1i2x + -4x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
4i2 + -1i2x + -4x2 + x3 = 0

The solution to this equation could not be determined.

See similar equations:

| 5x+80=8x-10 | | (4-k^2)-4x+1=0 | | -66=5(6-3m)-m | | 72.2=3.14r | | 7x+13=x+28 | | 5(1-6n)=155 | | 1.69X+X=1 | | In(x)=.68 | | 28+x=33 | | 28*n=0 | | ln(x)=.168 | | 15+7.5m=90 | | y-(-6)=2(x-(-5)) | | 8(x-3)+7=2x+6(-3+x) | | 3(3w+6)=8 | | 32=x-4(x+1) | | 2x+13.5=22.5 | | Sin(15)=x/28 | | 8x-6=x+15 | | -10(s+5)=-65 | | tan(64)=x/75 | | -6n+21=12m-15 | | 2(3x+4)=12x+7 | | -5x^2+27.83x=0 | | (x-5)*4-(3*x)=4 | | -2/5=18/-10 | | -10(5+5)=-65 | | -28=-v/9 | | f(x)=x^2+6x-6 | | (x+5)*4-(3*x)=4 | | 3t=-99 | | -8(1-6r)+4=-388 |

Equations solver categories