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

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


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

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

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

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

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

Reorder the terms:
((-2ix + -4i2) + x(2i + x))(3 + x) = 0
((-2ix + -4i2) + x(2i + x))(3 + x) = 0
(-2ix + -4i2 + (2i * x + x * x))(3 + x) = 0
(-2ix + -4i2 + (2ix + x2))(3 + x) = 0

Reorder the terms:
(-2ix + 2ix + -4i2 + x2)(3 + x) = 0

Combine like terms: -2ix + 2ix = 0
(0 + -4i2 + x2)(3 + x) = 0
(-4i2 + x2)(3 + x) = 0

Multiply (-4i2 + x2) * (3 + x)
(-4i2 * (3 + x) + x2(3 + x)) = 0
((3 * -4i2 + x * -4i2) + x2(3 + x)) = 0
((-12i2 + -4i2x) + x2(3 + x)) = 0
(-12i2 + -4i2x + (3 * x2 + x * x2)) = 0
(-12i2 + -4i2x + (3x2 + x3)) = 0
(-12i2 + -4i2x + 3x2 + x3) = 0

Solving
-12i2 + -4i2x + 3x2 + x3 = 0

Solving for variable 'i'.

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

Add '-3x2' to each side of the equation.
-12i2 + -4i2x + 3x2 + -3x2 + x3 = 0 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-12i2 + -4i2x + 0 + x3 = 0 + -3x2
-12i2 + -4i2x + x3 = 0 + -3x2
Remove the zero:
-12i2 + -4i2x + x3 = -3x2

Add '-1x3' to each side of the equation.
-12i2 + -4i2x + x3 + -1x3 = -3x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-12i2 + -4i2x + 0 = -3x2 + -1x3
-12i2 + -4i2x = -3x2 + -1x3

Reorder the terms:
-12i2 + -4i2x + 3x2 + x3 = -3x2 + 3x2 + -1x3 + x3

Combine like terms: -3x2 + 3x2 = 0
-12i2 + -4i2x + 3x2 + x3 = 0 + -1x3 + x3
-12i2 + -4i2x + 3x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-12i2 + -4i2x + 3x2 + x3 = 0

The solution to this equation could not be determined.

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