(x+3)(x-(3-i))(x-(3+i))=0

Simple and best practice solution for (x+3)(x-(3-i))(x-(3+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+3)(x-(3-i))(x-(3+i))=0 equation: 


Simplifying
(x + 3)(x + -1(3 + -1i))(x + -1(3 + i)) = 0

Reorder the terms:
(3 + x)(x + -1(3 + -1i))(x + -1(3 + i)) = 0
(3 + x)(x + (3 * -1 + -1i * -1))(x + -1(3 + i)) = 0
(3 + x)(x + (-3 + 1i))(x + -1(3 + i)) = 0

Reorder the terms:
(3 + x)(-3 + 1i + x)(x + -1(3 + i)) = 0
(3 + x)(-3 + 1i + x)(x + (3 * -1 + i * -1)) = 0
(3 + x)(-3 + 1i + x)(x + (-3 + -1i)) = 0

Reorder the terms:
(3 + x)(-3 + 1i + x)(-3 + -1i + x) = 0

Multiply (3 + x) * (-3 + 1i + x)
(3(-3 + 1i + x) + x(-3 + 1i + x))(-3 + -1i + x) = 0
((-3 * 3 + 1i * 3 + x * 3) + x(-3 + 1i + x))(-3 + -1i + x) = 0
((-9 + 3i + 3x) + x(-3 + 1i + x))(-3 + -1i + x) = 0
(-9 + 3i + 3x + (-3 * x + 1i * x + x * x))(-3 + -1i + x) = 0

Reorder the terms:
(-9 + 3i + 3x + (1ix + -3x + x2))(-3 + -1i + x) = 0
(-9 + 3i + 3x + (1ix + -3x + x2))(-3 + -1i + x) = 0

Reorder the terms:
(-9 + 3i + 1ix + 3x + -3x + x2)(-3 + -1i + x) = 0

Combine like terms: 3x + -3x = 0
(-9 + 3i + 1ix + 0 + x2)(-3 + -1i + x) = 0
(-9 + 3i + 1ix + x2)(-3 + -1i + x) = 0

Multiply (-9 + 3i + 1ix + x2) * (-3 + -1i + x)
(-9(-3 + -1i + x) + 3i * (-3 + -1i + x) + 1ix * (-3 + -1i + x) + x2(-3 + -1i + x)) = 0
((-3 * -9 + -1i * -9 + x * -9) + 3i * (-3 + -1i + x) + 1ix * (-3 + -1i + x) + x2(-3 + -1i + x)) = 0
((27 + 9i + -9x) + 3i * (-3 + -1i + x) + 1ix * (-3 + -1i + x) + x2(-3 + -1i + x)) = 0
(27 + 9i + -9x + (-3 * 3i + -1i * 3i + x * 3i) + 1ix * (-3 + -1i + x) + x2(-3 + -1i + x)) = 0

Reorder the terms:
(27 + 9i + -9x + (-9i + 3ix + -3i2) + 1ix * (-3 + -1i + x) + x2(-3 + -1i + x)) = 0
(27 + 9i + -9x + (-9i + 3ix + -3i2) + 1ix * (-3 + -1i + x) + x2(-3 + -1i + x)) = 0
(27 + 9i + -9x + -9i + 3ix + -3i2 + (-3 * 1ix + -1i * 1ix + x * 1ix) + x2(-3 + -1i + x)) = 0

Reorder the terms:
(27 + 9i + -9x + -9i + 3ix + -3i2 + (-3ix + 1ix2 + -1i2x) + x2(-3 + -1i + x)) = 0
(27 + 9i + -9x + -9i + 3ix + -3i2 + (-3ix + 1ix2 + -1i2x) + x2(-3 + -1i + x)) = 0
(27 + 9i + -9x + -9i + 3ix + -3i2 + -3ix + 1ix2 + -1i2x + (-3 * x2 + -1i * x2 + x * x2)) = 0

Reorder the terms:
(27 + 9i + -9x + -9i + 3ix + -3i2 + -3ix + 1ix2 + -1i2x + (-1ix2 + -3x2 + x3)) = 0
(27 + 9i + -9x + -9i + 3ix + -3i2 + -3ix + 1ix2 + -1i2x + (-1ix2 + -3x2 + x3)) = 0

Reorder the terms:
(27 + 9i + -9i + 3ix + -3ix + 1ix2 + -1ix2 + -3i2 + -1i2x + -9x + -3x2 + x3) = 0

Combine like terms: 9i + -9i = 0
(27 + 0 + 3ix + -3ix + 1ix2 + -1ix2 + -3i2 + -1i2x + -9x + -3x2 + x3) = 0
(27 + 3ix + -3ix + 1ix2 + -1ix2 + -3i2 + -1i2x + -9x + -3x2 + x3) = 0

Combine like terms: 3ix + -3ix = 0
(27 + 0 + 1ix2 + -1ix2 + -3i2 + -1i2x + -9x + -3x2 + x3) = 0
(27 + 1ix2 + -1ix2 + -3i2 + -1i2x + -9x + -3x2 + x3) = 0

Combine like terms: 1ix2 + -1ix2 = 0
(27 + 0 + -3i2 + -1i2x + -9x + -3x2 + x3) = 0
(27 + -3i2 + -1i2x + -9x + -3x2 + x3) = 0

Solving
27 + -3i2 + -1i2x + -9x + -3x2 + x3 = 0

Solving for variable 'i'.

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

Add '-27' to each side of the equation.
27 + -3i2 + -1i2x + -9x + -3x2 + -27 + x3 = 0 + -27

Reorder the terms:
27 + -27 + -3i2 + -1i2x + -9x + -3x2 + x3 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -3i2 + -1i2x + -9x + -3x2 + x3 = 0 + -27
-3i2 + -1i2x + -9x + -3x2 + x3 = 0 + -27

Combine like terms: 0 + -27 = -27
-3i2 + -1i2x + -9x + -3x2 + x3 = -27

Add '9x' to each side of the equation.
-3i2 + -1i2x + -9x + -3x2 + 9x + x3 = -27 + 9x

Reorder the terms:
-3i2 + -1i2x + -9x + 9x + -3x2 + x3 = -27 + 9x

Combine like terms: -9x + 9x = 0
-3i2 + -1i2x + 0 + -3x2 + x3 = -27 + 9x
-3i2 + -1i2x + -3x2 + x3 = -27 + 9x

Add '3x2' to each side of the equation.
-3i2 + -1i2x + -3x2 + 3x2 + x3 = -27 + 9x + 3x2

Combine like terms: -3x2 + 3x2 = 0
-3i2 + -1i2x + 0 + x3 = -27 + 9x + 3x2
-3i2 + -1i2x + x3 = -27 + 9x + 3x2

Add '-1x3' to each side of the equation.
-3i2 + -1i2x + x3 + -1x3 = -27 + 9x + 3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-3i2 + -1i2x + 0 = -27 + 9x + 3x2 + -1x3
-3i2 + -1i2x = -27 + 9x + 3x2 + -1x3

Reorder the terms:
27 + -3i2 + -1i2x + -9x + -3x2 + x3 = -27 + 9x + 3x2 + -1x3 + 27 + -9x + -3x2 + x3

Reorder the terms:
27 + -3i2 + -1i2x + -9x + -3x2 + x3 = -27 + 27 + 9x + -9x + 3x2 + -3x2 + -1x3 + x3

Combine like terms: -27 + 27 = 0
27 + -3i2 + -1i2x + -9x + -3x2 + x3 = 0 + 9x + -9x + 3x2 + -3x2 + -1x3 + x3
27 + -3i2 + -1i2x + -9x + -3x2 + x3 = 9x + -9x + 3x2 + -3x2 + -1x3 + x3

Combine like terms: 9x + -9x = 0
27 + -3i2 + -1i2x + -9x + -3x2 + x3 = 0 + 3x2 + -3x2 + -1x3 + x3
27 + -3i2 + -1i2x + -9x + -3x2 + x3 = 3x2 + -3x2 + -1x3 + x3

Combine like terms: 3x2 + -3x2 = 0
27 + -3i2 + -1i2x + -9x + -3x2 + x3 = 0 + -1x3 + x3
27 + -3i2 + -1i2x + -9x + -3x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
27 + -3i2 + -1i2x + -9x + -3x2 + x3 = 0

The solution to this equation could not be determined.

See similar equations:

| y=(x^2)-18 | | 3(1+4)+-2(5n+-3)=25 | | -2(-8y+1)-8y=2(y-1)-9 | | y=3x^2+2ax+3 | | X/8=5/8 | | 3x+2xy=8 | | (3+x)+(5-2x)+x=78 | | 4x-81-8x= | | 9h+7j=54o | | 4x-2(x-5)=-7 | | 38/5x3 | | 3+5x=6+4x | | 4x-2(x-4)=-8+5x+4 | | X/14=1/2 | | 4h-11=-6 | | 0=50x+b | | 1/5x-1/109 | | 3(5x-7)=6x-12 | | 4log(X)=7 | | 15.5=16-x/12 | | 2x+3y=-45 | | 3+4(x+4)=3(x-4) | | -x-4-4x=x-46 | | (x-2)/4=2 | | -15=3b+(-6) | | 4logx=7 | | 16=18-x/3 | | 2(x-2)+x=11 | | 8r^2-72r+64=0 | | 7x+2=-6x-154 | | 10+3b-5=12+b-3b | | 2x-3y+2z=-5 |

Equations solver categories