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

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


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

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

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

Multiply (-2 + -1i + x) * (-2 + i + x)
(-2(-2 + i + x) + -1i * (-2 + i + x) + x(-2 + i + x)) = y
((-2 * -2 + i * -2 + x * -2) + -1i * (-2 + i + x) + x(-2 + i + x)) = y
((4 + -2i + -2x) + -1i * (-2 + i + x) + x(-2 + i + x)) = y
(4 + -2i + -2x + (-2 * -1i + i * -1i + x * -1i) + x(-2 + i + x)) = y

Reorder the terms:
(4 + -2i + -2x + (2i + -1ix + -1i2) + x(-2 + i + x)) = y
(4 + -2i + -2x + (2i + -1ix + -1i2) + x(-2 + i + x)) = y
(4 + -2i + -2x + 2i + -1ix + -1i2 + (-2 * x + i * x + x * x)) = y

Reorder the terms:
(4 + -2i + -2x + 2i + -1ix + -1i2 + (ix + -2x + x2)) = y
(4 + -2i + -2x + 2i + -1ix + -1i2 + (ix + -2x + x2)) = y

Reorder the terms:
(4 + -2i + 2i + -1ix + ix + -1i2 + -2x + -2x + x2) = y

Combine like terms: -2i + 2i = 0
(4 + 0 + -1ix + ix + -1i2 + -2x + -2x + x2) = y
(4 + -1ix + ix + -1i2 + -2x + -2x + x2) = y

Combine like terms: -1ix + ix = 0
(4 + 0 + -1i2 + -2x + -2x + x2) = y
(4 + -1i2 + -2x + -2x + x2) = y

Combine like terms: -2x + -2x = -4x
(4 + -1i2 + -4x + x2) = y

Solving
4 + -1i2 + -4x + x2 = y

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 + -1i2 + -4x + -4 + x2 = -4 + y

Reorder the terms:
4 + -4 + -1i2 + -4x + x2 = -4 + y

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

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

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

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

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

Divide each side by '-1'.
i2 = 4 + -4x + x2 + -1y

Simplifying
i2 = 4 + -4x + x2 + -1y

Reorder the terms:
-4 + i2 + 4x + -1x2 + y = 4 + -4x + x2 + -1y + -4 + 4x + -1x2 + y

Reorder the terms:
-4 + i2 + 4x + -1x2 + y = 4 + -4 + -4x + 4x + x2 + -1x2 + -1y + y

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

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

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

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

The solution to this equation could not be determined.

See similar equations:

| 9-2x=5x | | 15x^5+20x^4-6x^3-8x^2=0 | | y/3-1=1 | | 2.49=1.24(x+11.17) | | 15x^2+17x-2-2=0 | | 234=9(k+6) | | 3j-7=-4 | | 24-8x-2= | | -2j+9=-j-1 | | 6(c-2d)-(4c+d)= | | f(x)=x^2-6+10 | | y=(x+3+6i)(x+3-6i) | | -21x^2-11x+40=0 | | 4t-15t+32=5t-32 | | 10k+482=12 | | 13b-25=3b | | -6t+3=-21 | | -(3x+8)-9=17+3x | | 2/5x35 | | x+x+2x+3=0 | | (x-1)(x+3+6i)(x+3-6i)=y | | 3(2x+5)7=-2(x-3)+6x | | 9392.5=8500*6.5*t | | 15t+32=5t-32 | | -5t+3=-21 | | 15x^2+17x-2+2=0 | | 3x-5(5x-5y)= | | 40x^3-3x/8x | | 3r=1(r+10) | | x-2/2=8 | | 3a-6=39 | | 1.4(w+4)+1.2w=10 |

Equations solver categories