(x-2-4i)(x-2+4i)=0

Simple and best practice solution for (x-2-4i)(x-2+4i)=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-2-4i)(x-2+4i)=0 equation: 


Simplifying
(x + -2 + -4i)(x + -2 + 4i) = 0

Reorder the terms:
(-2 + -4i + x)(x + -2 + 4i) = 0

Reorder the terms:
(-2 + -4i + x)(-2 + 4i + x) = 0

Multiply (-2 + -4i + x) * (-2 + 4i + x)
(-2(-2 + 4i + x) + -4i * (-2 + 4i + x) + x(-2 + 4i + x)) = 0
((-2 * -2 + 4i * -2 + x * -2) + -4i * (-2 + 4i + x) + x(-2 + 4i + x)) = 0
((4 + -8i + -2x) + -4i * (-2 + 4i + x) + x(-2 + 4i + x)) = 0
(4 + -8i + -2x + (-2 * -4i + 4i * -4i + x * -4i) + x(-2 + 4i + x)) = 0

Reorder the terms:
(4 + -8i + -2x + (8i + -4ix + -16i2) + x(-2 + 4i + x)) = 0
(4 + -8i + -2x + (8i + -4ix + -16i2) + x(-2 + 4i + x)) = 0
(4 + -8i + -2x + 8i + -4ix + -16i2 + (-2 * x + 4i * x + x * x)) = 0

Reorder the terms:
(4 + -8i + -2x + 8i + -4ix + -16i2 + (4ix + -2x + x2)) = 0
(4 + -8i + -2x + 8i + -4ix + -16i2 + (4ix + -2x + x2)) = 0

Reorder the terms:
(4 + -8i + 8i + -4ix + 4ix + -16i2 + -2x + -2x + x2) = 0

Combine like terms: -8i + 8i = 0
(4 + 0 + -4ix + 4ix + -16i2 + -2x + -2x + x2) = 0
(4 + -4ix + 4ix + -16i2 + -2x + -2x + x2) = 0

Combine like terms: -4ix + 4ix = 0
(4 + 0 + -16i2 + -2x + -2x + x2) = 0
(4 + -16i2 + -2x + -2x + x2) = 0

Combine like terms: -2x + -2x = -4x
(4 + -16i2 + -4x + x2) = 0

Solving
4 + -16i2 + -4x + x2 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -16i2 + -4x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -16i2 + -4x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -16i2 + -4x + x2 = 0 + -4
-16i2 + -4x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-16i2 + -4x + x2 = -4

Add '4x' to each side of the equation.
-16i2 + -4x + 4x + x2 = -4 + 4x

Combine like terms: -4x + 4x = 0
-16i2 + 0 + x2 = -4 + 4x
-16i2 + x2 = -4 + 4x

Add '-1x2' to each side of the equation.
-16i2 + x2 + -1x2 = -4 + 4x + -1x2

Combine like terms: x2 + -1x2 = 0
-16i2 + 0 = -4 + 4x + -1x2
-16i2 = -4 + 4x + -1x2

Divide each side by '-16'.
i2 = 0.25 + -0.25x + 0.0625x2

Simplifying
i2 = 0.25 + -0.25x + 0.0625x2

Reorder the terms:
-0.25 + i2 + 0.25x + -0.0625x2 = 0.25 + -0.25x + 0.0625x2 + -0.25 + 0.25x + -0.0625x2

Reorder the terms:
-0.25 + i2 + 0.25x + -0.0625x2 = 0.25 + -0.25 + -0.25x + 0.25x + 0.0625x2 + -0.0625x2

Combine like terms: 0.25 + -0.25 = 0.00
-0.25 + i2 + 0.25x + -0.0625x2 = 0.00 + -0.25x + 0.25x + 0.0625x2 + -0.0625x2
-0.25 + i2 + 0.25x + -0.0625x2 = -0.25x + 0.25x + 0.0625x2 + -0.0625x2

Combine like terms: -0.25x + 0.25x = 0.00
-0.25 + i2 + 0.25x + -0.0625x2 = 0.00 + 0.0625x2 + -0.0625x2
-0.25 + i2 + 0.25x + -0.0625x2 = 0.0625x2 + -0.0625x2

Combine like terms: 0.0625x2 + -0.0625x2 = 0.0000
-0.25 + i2 + 0.25x + -0.0625x2 = 0.0000

The solution to this equation could not be determined.

See similar equations:

| 0=-5t^2+36t+32 | | 2v+4v=10-3v-v | | √3x/2*√x/6 | | -14+3m=-7(m-8) | | 120+x-27+82=360 | | -6-11/2x-1 | | 38+x=-8x+5(7+2x) | | (5x-7)=((3x+1)-x) | | (40-2x)(20-2x)=384 | | 4X^2-1.25=0 | | 220=7n+17 | | 8-8n=1-7n | | 0.8a+10= | | 48-12y=8 | | 5n-6-2=13+n-4+7 | | 5x=120+2x | | 12b-2b=10b | | (2a-13)(5a+1)=0 | | -5+8r=8r-5 | | -12+4c=6c-6 | | 6XY=1 | | 6x+5-x=3x+17 | | 60000=22000+.04s | | 6m+6=5m | | (1+x)28=90 | | 3/14=1/x | | 16r=0 | | 10-5+2+8a+8a+7c= | | (3x-8)(3x+8)=0 | | -8-5(5v-5)=192 | | r/6.2=15 | | 6/25=1/x |

Equations solver categories