(x-3)(x-2)(x+2i)=

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Solution for (x-3)(x-2)(x+2i)= equation: 


Simplifying
(x + -3)(x + -2)(x + 2i) = 0

Reorder the terms:
(-3 + x)(x + -2)(x + 2i) = 0

Reorder the terms:
(-3 + x)(-2 + x)(x + 2i) = 0

Reorder the terms:
(-3 + x)(-2 + x)(2i + x) = 0

Multiply (-3 + x) * (-2 + x)
(-3(-2 + x) + x(-2 + x))(2i + x) = 0
((-2 * -3 + x * -3) + x(-2 + x))(2i + x) = 0
((6 + -3x) + x(-2 + x))(2i + x) = 0
(6 + -3x + (-2 * x + x * x))(2i + x) = 0
(6 + -3x + (-2x + x2))(2i + x) = 0

Combine like terms: -3x + -2x = -5x
(6 + -5x + x2)(2i + x) = 0

Multiply (6 + -5x + x2) * (2i + x)
(6(2i + x) + -5x * (2i + x) + x2(2i + x)) = 0
((2i * 6 + x * 6) + -5x * (2i + x) + x2(2i + x)) = 0
((12i + 6x) + -5x * (2i + x) + x2(2i + x)) = 0
(12i + 6x + (2i * -5x + x * -5x) + x2(2i + x)) = 0
(12i + 6x + (-10ix + -5x2) + x2(2i + x)) = 0
(12i + 6x + -10ix + -5x2 + (2i * x2 + x * x2)) = 0
(12i + 6x + -10ix + -5x2 + (2ix2 + x3)) = 0

Reorder the terms:
(12i + -10ix + 2ix2 + 6x + -5x2 + x3) = 0
(12i + -10ix + 2ix2 + 6x + -5x2 + x3) = 0

Solving
12i + -10ix + 2ix2 + 6x + -5x2 + x3 = 0

Solving for variable 'i'.

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

Add '-6x' to each side of the equation.
12i + -10ix + 2ix2 + 6x + -5x2 + -6x + x3 = 0 + -6x

Reorder the terms:
12i + -10ix + 2ix2 + 6x + -6x + -5x2 + x3 = 0 + -6x

Combine like terms: 6x + -6x = 0
12i + -10ix + 2ix2 + 0 + -5x2 + x3 = 0 + -6x
12i + -10ix + 2ix2 + -5x2 + x3 = 0 + -6x
Remove the zero:
12i + -10ix + 2ix2 + -5x2 + x3 = -6x

Add '5x2' to each side of the equation.
12i + -10ix + 2ix2 + -5x2 + 5x2 + x3 = -6x + 5x2

Combine like terms: -5x2 + 5x2 = 0
12i + -10ix + 2ix2 + 0 + x3 = -6x + 5x2
12i + -10ix + 2ix2 + x3 = -6x + 5x2

Add '-1x3' to each side of the equation.
12i + -10ix + 2ix2 + x3 + -1x3 = -6x + 5x2 + -1x3

Combine like terms: x3 + -1x3 = 0
12i + -10ix + 2ix2 + 0 = -6x + 5x2 + -1x3
12i + -10ix + 2ix2 = -6x + 5x2 + -1x3

Reorder the terms:
12i + -10ix + 2ix2 + 6x + -5x2 + x3 = -6x + 6x + 5x2 + -5x2 + -1x3 + x3

Combine like terms: -6x + 6x = 0
12i + -10ix + 2ix2 + 6x + -5x2 + x3 = 0 + 5x2 + -5x2 + -1x3 + x3
12i + -10ix + 2ix2 + 6x + -5x2 + x3 = 5x2 + -5x2 + -1x3 + x3

Combine like terms: 5x2 + -5x2 = 0
12i + -10ix + 2ix2 + 6x + -5x2 + x3 = 0 + -1x3 + x3
12i + -10ix + 2ix2 + 6x + -5x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
12i + -10ix + 2ix2 + 6x + -5x2 + x3 = 0

The solution to this equation could not be determined.

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