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

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


Simplifying
(x + -1(4 + i))(x + -1(4 + -1i)) = y
(x + (4 * -1 + i * -1))(x + -1(4 + -1i)) = y
(x + (-4 + -1i))(x + -1(4 + -1i)) = y

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

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

Multiply (-4 + -1i + x) * (-4 + 1i + x)
(-4(-4 + 1i + x) + -1i * (-4 + 1i + x) + x(-4 + 1i + x)) = y
((-4 * -4 + 1i * -4 + x * -4) + -1i * (-4 + 1i + x) + x(-4 + 1i + x)) = y
((16 + -4i + -4x) + -1i * (-4 + 1i + x) + x(-4 + 1i + x)) = y
(16 + -4i + -4x + (-4 * -1i + 1i * -1i + x * -1i) + x(-4 + 1i + x)) = y

Reorder the terms:
(16 + -4i + -4x + (4i + -1ix + -1i2) + x(-4 + 1i + x)) = y
(16 + -4i + -4x + (4i + -1ix + -1i2) + x(-4 + 1i + x)) = y
(16 + -4i + -4x + 4i + -1ix + -1i2 + (-4 * x + 1i * x + x * x)) = y

Reorder the terms:
(16 + -4i + -4x + 4i + -1ix + -1i2 + (1ix + -4x + x2)) = y
(16 + -4i + -4x + 4i + -1ix + -1i2 + (1ix + -4x + x2)) = y

Reorder the terms:
(16 + -4i + 4i + -1ix + 1ix + -1i2 + -4x + -4x + x2) = y

Combine like terms: -4i + 4i = 0
(16 + 0 + -1ix + 1ix + -1i2 + -4x + -4x + x2) = y
(16 + -1ix + 1ix + -1i2 + -4x + -4x + x2) = y

Combine like terms: -1ix + 1ix = 0
(16 + 0 + -1i2 + -4x + -4x + x2) = y
(16 + -1i2 + -4x + -4x + x2) = y

Combine like terms: -4x + -4x = -8x
(16 + -1i2 + -8x + x2) = y

Solving
16 + -1i2 + -8x + x2 = y

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -1i2 + -8x + -16 + x2 = -16 + y

Reorder the terms:
16 + -16 + -1i2 + -8x + x2 = -16 + y

Combine like terms: 16 + -16 = 0
0 + -1i2 + -8x + x2 = -16 + y
-1i2 + -8x + x2 = -16 + y

Add '8x' to each side of the equation.
-1i2 + -8x + 8x + x2 = -16 + 8x + y

Combine like terms: -8x + 8x = 0
-1i2 + 0 + x2 = -16 + 8x + y
-1i2 + x2 = -16 + 8x + y

Add '-1x2' to each side of the equation.
-1i2 + x2 + -1x2 = -16 + 8x + -1x2 + y

Combine like terms: x2 + -1x2 = 0
-1i2 + 0 = -16 + 8x + -1x2 + y
-1i2 = -16 + 8x + -1x2 + y

Divide each side by '-1'.
i2 = 16 + -8x + x2 + -1y

Simplifying
i2 = 16 + -8x + x2 + -1y

Reorder the terms:
-16 + i2 + 8x + -1x2 + y = 16 + -8x + x2 + -1y + -16 + 8x + -1x2 + y

Reorder the terms:
-16 + i2 + 8x + -1x2 + y = 16 + -16 + -8x + 8x + x2 + -1x2 + -1y + y

Combine like terms: 16 + -16 = 0
-16 + i2 + 8x + -1x2 + y = 0 + -8x + 8x + x2 + -1x2 + -1y + y
-16 + i2 + 8x + -1x2 + y = -8x + 8x + x2 + -1x2 + -1y + y

Combine like terms: -8x + 8x = 0
-16 + i2 + 8x + -1x2 + y = 0 + x2 + -1x2 + -1y + y
-16 + i2 + 8x + -1x2 + y = x2 + -1x2 + -1y + y

Combine like terms: x2 + -1x2 = 0
-16 + i2 + 8x + -1x2 + y = 0 + -1y + y
-16 + i2 + 8x + -1x2 + y = -1y + y

Combine like terms: -1y + y = 0
-16 + i2 + 8x + -1x2 + y = 0

The solution to this equation could not be determined.

See similar equations:

| 4(2m-4)-(m-3)=-80 | | 14d+21e= | | 14d+21e= | | (2x+14)(4x-26)= | | -23.5=6f+2.5f | | -4(r+9)=-75 | | 4(2m-4)-(m-3)=-88 | | 7g-8g^3+5g=0 | | 9y+4x-9=0 | | 4(2m-4)-(m-3)=-68 | | 2(5x-3)=7 | | s=-40+16r | | 0.2x-0.2y=2 | | 4(2m-4)-(m-3)=-16 | | 60=10d+20 | | 14v=7v+42 | | f(x)=4cosx+6x+5 | | -8n-7n=-31 | | -x-15=x-3 | | 8.3=-1.5t^2+25t | | 6x^2=4x-9 | | 120x+750=1470 | | 3+-2x=-5 | | 4.9=8.9-0.8x | | 4(-4+3b)+2=8b-34 | | 5x+12-2x= | | 3-2x=-f | | -1=4+1x | | y=3x^4-48x^2 | | 2(-4+x)=6 | | 6=-6x+2(x-13) | | -13-2m=5-8m |

Equations solver categories