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

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


Simplifying
(x + 2i)(x + -2i)(x + -1(-3 + i))(x + (-3i)) = 0

Reorder the terms:
(2i + x)(x + -2i)(x + -1(-3 + i))(x + (-3i)) = 0

Reorder the terms:
(2i + x)(-2i + x)(x + -1(-3 + i))(x + (-3i)) = 0
(2i + x)(-2i + x)(x + (-3 * -1 + i * -1))(x + (-3i)) = 0
(2i + x)(-2i + x)(x + (3 + -1i))(x + (-3i)) = 0

Reorder the terms:
(2i + x)(-2i + x)(3 + -1i + x)(x + (-3i)) = 0

Reorder the terms:
(2i + x)(-2i + x)(3 + -1i + x)((-3i) + x) = 0

Multiply (2i + x) * (-2i + x)
(2i * (-2i + x) + x(-2i + x))(3 + -1i + x)((-3i) + x) = 0
((-2i * 2i + x * 2i) + x(-2i + x))(3 + -1i + x)((-3i) + x) = 0

Reorder the terms:
((2ix + -4i2) + x(-2i + x))(3 + -1i + x)((-3i) + x) = 0
((2ix + -4i2) + x(-2i + x))(3 + -1i + x)((-3i) + x) = 0
(2ix + -4i2 + (-2i * x + x * x))(3 + -1i + x)((-3i) + x) = 0
(2ix + -4i2 + (-2ix + x2))(3 + -1i + x)((-3i) + x) = 0

Reorder the terms:
(2ix + -2ix + -4i2 + x2)(3 + -1i + x)((-3i) + x) = 0

Combine like terms: 2ix + -2ix = 0
(0 + -4i2 + x2)(3 + -1i + x)((-3i) + x) = 0
(-4i2 + x2)(3 + -1i + x)((-3i) + x) = 0

Multiply (-4i2 + x2) * (3 + -1i + x)
(-4i2 * (3 + -1i + x) + x2(3 + -1i + x))((-3i) + x) = 0
((3 * -4i2 + -1i * -4i2 + x * -4i2) + x2(3 + -1i + x))((-3i) + x) = 0

Reorder the terms:
((-12i2 + -4i2x + 4i3) + x2(3 + -1i + x))((-3i) + x) = 0
((-12i2 + -4i2x + 4i3) + x2(3 + -1i + x))((-3i) + x) = 0
(-12i2 + -4i2x + 4i3 + (3 * x2 + -1i * x2 + x * x2))((-3i) + x) = 0

Reorder the terms:
(-12i2 + -4i2x + 4i3 + (-1ix2 + 3x2 + x3))((-3i) + x) = 0
(-12i2 + -4i2x + 4i3 + (-1ix2 + 3x2 + x3))((-3i) + x) = 0

Reorder the terms:
(-1ix2 + -12i2 + -4i2x + 4i3 + 3x2 + x3)((-3i) + x) = 0
(-1ix2 + -12i2 + -4i2x + 4i3 + 3x2 + x3)((-3i) + x) = 0

Multiply (-1ix2 + -12i2 + -4i2x + 4i3 + 3x2 + x3) * ((-3i) + x)
(-1ix2 * ((-3i) + x) + -12i2 * ((-3i) + x) + -4i2x * ((-3i) + x) + 4i3 * ((-3i) + x) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0
(((-3i) * -1ix2 + x * -1ix2) + -12i2 * ((-3i) + x) + -4i2x * ((-3i) + x) + 4i3 * ((-3i) + x) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0

Reorder the terms:
((-1ix3 + 3i2x2) + -12i2 * ((-3i) + x) + -4i2x * ((-3i) + x) + 4i3 * ((-3i) + x) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0
((-1ix3 + 3i2x2) + -12i2 * ((-3i) + x) + -4i2x * ((-3i) + x) + 4i3 * ((-3i) + x) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0
(-1ix3 + 3i2x2 + ((-3i) * -12i2 + x * -12i2) + -4i2x * ((-3i) + x) + 4i3 * ((-3i) + x) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0

Reorder the terms:
(-1ix3 + 3i2x2 + (-12i2x + 36i3) + -4i2x * ((-3i) + x) + 4i3 * ((-3i) + x) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0
(-1ix3 + 3i2x2 + (-12i2x + 36i3) + -4i2x * ((-3i) + x) + 4i3 * ((-3i) + x) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0
(-1ix3 + 3i2x2 + -12i2x + 36i3 + ((-3i) * -4i2x + x * -4i2x) + 4i3 * ((-3i) + x) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0

Reorder the terms:
(-1ix3 + 3i2x2 + -12i2x + 36i3 + (-4i2x2 + 12i3x) + 4i3 * ((-3i) + x) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0
(-1ix3 + 3i2x2 + -12i2x + 36i3 + (-4i2x2 + 12i3x) + 4i3 * ((-3i) + x) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0
(-1ix3 + 3i2x2 + -12i2x + 36i3 + -4i2x2 + 12i3x + ((-3i) * 4i3 + x * 4i3) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0

Reorder the terms:
(-1ix3 + 3i2x2 + -12i2x + 36i3 + -4i2x2 + 12i3x + (4i3x + -12i4) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0
(-1ix3 + 3i2x2 + -12i2x + 36i3 + -4i2x2 + 12i3x + (4i3x + -12i4) + 3x2 * ((-3i) + x) + x3((-3i) + x)) = 0
(-1ix3 + 3i2x2 + -12i2x + 36i3 + -4i2x2 + 12i3x + 4i3x + -12i4 + ((-3i) * 3x2 + x * 3x2) + x3((-3i) + x)) = 0
(-1ix3 + 3i2x2 + -12i2x + 36i3 + -4i2x2 + 12i3x + 4i3x + -12i4 + (-9ix2 + 3x3) + x3((-3i) + x)) = 0
(-1ix3 + 3i2x2 + -12i2x + 36i3 + -4i2x2 + 12i3x + 4i3x + -12i4 + -9ix2 + 3x3 + ((-3i) * x3 + x * x3)) = 0
(-1ix3 + 3i2x2 + -12i2x + 36i3 + -4i2x2 + 12i3x + 4i3x + -12i4 + -9ix2 + 3x3 + (-3ix3 + x4)) = 0

Reorder the terms:
(-9ix2 + -1ix3 + -3ix3 + -12i2x + 3i2x2 + -4i2x2 + 36i3 + 12i3x + 4i3x + -12i4 + 3x3 + x4) = 0

Combine like terms: -1ix3 + -3ix3 = -4ix3
(-9ix2 + -4ix3 + -12i2x + 3i2x2 + -4i2x2 + 36i3 + 12i3x + 4i3x + -12i4 + 3x3 + x4) = 0

Combine like terms: 3i2x2 + -4i2x2 = -1i2x2
(-9ix2 + -4ix3 + -12i2x + -1i2x2 + 36i3 + 12i3x + 4i3x + -12i4 + 3x3 + x4) = 0

Combine like terms: 12i3x + 4i3x = 16i3x
(-9ix2 + -4ix3 + -12i2x + -1i2x2 + 36i3 + 16i3x + -12i4 + 3x3 + x4) = 0

Solving
-9ix2 + -4ix3 + -12i2x + -1i2x2 + 36i3 + 16i3x + -12i4 + 3x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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