(x+2)(x+i)(x-i)=0

Simple and best practice solution for (x+2)(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+2)(x+i)(x-i)=0 equation:


Simplifying
(x + 2)(x + i)(x + -1i) = 0

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

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

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

Multiply (2 + x) * (i + x)
(2(i + x) + x(i + x))(-1i + x) = 0
((i * 2 + x * 2) + x(i + x))(-1i + x) = 0
((2i + 2x) + x(i + x))(-1i + x) = 0
(2i + 2x + (i * x + x * x))(-1i + x) = 0
(2i + 2x + (ix + x2))(-1i + x) = 0

Reorder the terms:
(2i + ix + 2x + x2)(-1i + x) = 0
(2i + ix + 2x + x2)(-1i + x) = 0

Multiply (2i + ix + 2x + x2) * (-1i + x)
(2i * (-1i + x) + ix(-1i + x) + 2x * (-1i + x) + x2(-1i + x)) = 0
((-1i * 2i + x * 2i) + ix(-1i + x) + 2x * (-1i + x) + x2(-1i + x)) = 0

Reorder the terms:
((2ix + -2i2) + ix(-1i + x) + 2x * (-1i + x) + x2(-1i + x)) = 0
((2ix + -2i2) + ix(-1i + x) + 2x * (-1i + x) + x2(-1i + x)) = 0
(2ix + -2i2 + (-1i * ix + x * ix) + 2x * (-1i + x) + x2(-1i + x)) = 0

Reorder the terms:
(2ix + -2i2 + (ix2 + -1i2x) + 2x * (-1i + x) + x2(-1i + x)) = 0
(2ix + -2i2 + (ix2 + -1i2x) + 2x * (-1i + x) + x2(-1i + x)) = 0
(2ix + -2i2 + ix2 + -1i2x + (-1i * 2x + x * 2x) + x2(-1i + x)) = 0
(2ix + -2i2 + ix2 + -1i2x + (-2ix + 2x2) + x2(-1i + x)) = 0
(2ix + -2i2 + ix2 + -1i2x + -2ix + 2x2 + (-1i * x2 + x * x2)) = 0
(2ix + -2i2 + ix2 + -1i2x + -2ix + 2x2 + (-1ix2 + x3)) = 0

Reorder the terms:
(2ix + -2ix + ix2 + -1ix2 + -2i2 + -1i2x + 2x2 + x3) = 0

Combine like terms: 2ix + -2ix = 0
(0 + ix2 + -1ix2 + -2i2 + -1i2x + 2x2 + x3) = 0
(ix2 + -1ix2 + -2i2 + -1i2x + 2x2 + x3) = 0

Combine like terms: ix2 + -1ix2 = 0
(0 + -2i2 + -1i2x + 2x2 + x3) = 0
(-2i2 + -1i2x + 2x2 + x3) = 0

Solving
-2i2 + -1i2x + 2x2 + x3 = 0

Solving for variable 'i'.

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

Add '-2x2' to each side of the equation.
-2i2 + -1i2x + 2x2 + -2x2 + x3 = 0 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-2i2 + -1i2x + 0 + x3 = 0 + -2x2
-2i2 + -1i2x + x3 = 0 + -2x2
Remove the zero:
-2i2 + -1i2x + x3 = -2x2

Add '-1x3' to each side of the equation.
-2i2 + -1i2x + x3 + -1x3 = -2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-2i2 + -1i2x + 0 = -2x2 + -1x3
-2i2 + -1i2x = -2x2 + -1x3

Reorder the terms:
-2i2 + -1i2x + 2x2 + x3 = -2x2 + 2x2 + -1x3 + x3

Combine like terms: -2x2 + 2x2 = 0
-2i2 + -1i2x + 2x2 + x3 = 0 + -1x3 + x3
-2i2 + -1i2x + 2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-2i2 + -1i2x + 2x2 + x3 = 0

The solution to this equation could not be determined.

See similar equations:

| -6-22=-3x+14 | | 5+5x-2x=29 | | 5y+6+8x+(-2y)-x= | | x+x+x+3+2x=23 | | -89-5x=31+3x | | 66=5x+7x+6 | | 2w-38=4(w-8) | | 7t-10=4t-1 | | 9x+14=16x+7 | | 16=4w-2w-2 | | -35+5x=-6x+31 | | 180-x-x=42 | | 4*0+8(-2)=0 | | -5x-5=6-6x | | Log(4*k-5)=log(2*k-5) | | -y/5=-3 | | 2(x)=180-x | | 2xy-2x= | | 2x-5=x+11 | | 50x^2+60x=y | | 2x+3x-1=24 | | 2x+5y=40 | | 3z-4=16 | | 3/4(n-3)=9 | | 112+4x+3x+12=180 | | 117x=7+8x | | 110x=40-5 | | 77=4-7x | | -6y+4+4y=32 | | (3+X)/3-(2-X)/4=(2X-3)/5 | | 5*6+4y=-2 | | 4s^2-4s+1=0 |

Equations solver categories