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

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


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

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

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

Multiply (-4 + 1i + x) * (-4 + -1i + x)
(-4(-4 + -1i + x) + 1i * (-4 + -1i + x) + x(-4 + -1i + x)) = 0
((-4 * -4 + -1i * -4 + x * -4) + 1i * (-4 + -1i + x) + x(-4 + -1i + x)) = 0
((16 + 4i + -4x) + 1i * (-4 + -1i + x) + x(-4 + -1i + x)) = 0
(16 + 4i + -4x + (-4 * 1i + -1i * 1i + x * 1i) + x(-4 + -1i + x)) = 0

Reorder the terms:
(16 + 4i + -4x + (-4i + 1ix + -1i2) + x(-4 + -1i + x)) = 0
(16 + 4i + -4x + (-4i + 1ix + -1i2) + x(-4 + -1i + x)) = 0
(16 + 4i + -4x + -4i + 1ix + -1i2 + (-4 * x + -1i * x + x * x)) = 0

Reorder the terms:
(16 + 4i + -4x + -4i + 1ix + -1i2 + (-1ix + -4x + x2)) = 0
(16 + 4i + -4x + -4i + 1ix + -1i2 + (-1ix + -4x + x2)) = 0

Reorder the terms:
(16 + 4i + -4i + 1ix + -1ix + -1i2 + -4x + -4x + x2) = 0

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

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

Combine like terms: -4x + -4x = -8x
(16 + -1i2 + -8x + x2) = 0

Solving
16 + -1i2 + -8x + x2 = 0

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 = 0 + -16

Reorder the terms:
16 + -16 + -1i2 + -8x + x2 = 0 + -16

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

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

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

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

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

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

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

Simplifying
i2 = 16 + -8x + x2

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

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

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

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

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

The solution to this equation could not be determined.

See similar equations:

| 25-v/-5=-3 | | 2x^2+16x+29=y | | 48=(5-y)2 | | 14x+18=2(7x-10) | | Y=1/4x^2 | | 1.8*0.145= | | -22-12x=25 | | 14x-18=14x-15 | | 20=8+b | | 45-2.68= | | q^3-6q^2+8q=0 | | 5w+5=3w+3 | | 5x-4=125 | | 14-(y+5)=2y-6 | | X^2+5x-7=-14 | | 5a^2-20b^2=0 | | 7x-20=4x+4 | | 2x-45=8 | | f(x)=-[x+4]-1 | | 4(2y-1)-2(y)=6 | | 6c-3=-5 | | x^(2/5)-49 | | m-3-2=8 | | 82+94+x=90 | | 4t-10=11+t | | 9=-7w+12-6 | | -6xy-2xz-5x-10=-4y+10 | | 2t+6+5t-6t=1+4 | | 8=11-w | | 5y-9/2=3-2y/6 | | 16=6x+7 | | 26x+16=-x+7 |

Equations solver categories