(x+3)(x-8-4i)(x-8+4i)=

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Solution for (x+3)(x-8-4i)(x-8+4i)= equation:


Simplifying
(x + 3)(x + -8 + -4i)(x + -8 + 4i) = 0

Reorder the terms:
(3 + x)(x + -8 + -4i)(x + -8 + 4i) = 0

Reorder the terms:
(3 + x)(-8 + -4i + x)(x + -8 + 4i) = 0

Reorder the terms:
(3 + x)(-8 + -4i + x)(-8 + 4i + x) = 0

Multiply (3 + x) * (-8 + -4i + x)
(3(-8 + -4i + x) + x(-8 + -4i + x))(-8 + 4i + x) = 0
((-8 * 3 + -4i * 3 + x * 3) + x(-8 + -4i + x))(-8 + 4i + x) = 0
((-24 + -12i + 3x) + x(-8 + -4i + x))(-8 + 4i + x) = 0
(-24 + -12i + 3x + (-8 * x + -4i * x + x * x))(-8 + 4i + x) = 0

Reorder the terms:
(-24 + -12i + 3x + (-4ix + -8x + x2))(-8 + 4i + x) = 0
(-24 + -12i + 3x + (-4ix + -8x + x2))(-8 + 4i + x) = 0

Reorder the terms:
(-24 + -12i + -4ix + 3x + -8x + x2)(-8 + 4i + x) = 0

Combine like terms: 3x + -8x = -5x
(-24 + -12i + -4ix + -5x + x2)(-8 + 4i + x) = 0

Multiply (-24 + -12i + -4ix + -5x + x2) * (-8 + 4i + x)
(-24(-8 + 4i + x) + -12i * (-8 + 4i + x) + -4ix * (-8 + 4i + x) + -5x * (-8 + 4i + x) + x2(-8 + 4i + x)) = 0
((-8 * -24 + 4i * -24 + x * -24) + -12i * (-8 + 4i + x) + -4ix * (-8 + 4i + x) + -5x * (-8 + 4i + x) + x2(-8 + 4i + x)) = 0
((192 + -96i + -24x) + -12i * (-8 + 4i + x) + -4ix * (-8 + 4i + x) + -5x * (-8 + 4i + x) + x2(-8 + 4i + x)) = 0
(192 + -96i + -24x + (-8 * -12i + 4i * -12i + x * -12i) + -4ix * (-8 + 4i + x) + -5x * (-8 + 4i + x) + x2(-8 + 4i + x)) = 0

Reorder the terms:
(192 + -96i + -24x + (96i + -12ix + -48i2) + -4ix * (-8 + 4i + x) + -5x * (-8 + 4i + x) + x2(-8 + 4i + x)) = 0
(192 + -96i + -24x + (96i + -12ix + -48i2) + -4ix * (-8 + 4i + x) + -5x * (-8 + 4i + x) + x2(-8 + 4i + x)) = 0
(192 + -96i + -24x + 96i + -12ix + -48i2 + (-8 * -4ix + 4i * -4ix + x * -4ix) + -5x * (-8 + 4i + x) + x2(-8 + 4i + x)) = 0

Reorder the terms:
(192 + -96i + -24x + 96i + -12ix + -48i2 + (32ix + -4ix2 + -16i2x) + -5x * (-8 + 4i + x) + x2(-8 + 4i + x)) = 0
(192 + -96i + -24x + 96i + -12ix + -48i2 + (32ix + -4ix2 + -16i2x) + -5x * (-8 + 4i + x) + x2(-8 + 4i + x)) = 0
(192 + -96i + -24x + 96i + -12ix + -48i2 + 32ix + -4ix2 + -16i2x + (-8 * -5x + 4i * -5x + x * -5x) + x2(-8 + 4i + x)) = 0

Reorder the terms:
(192 + -96i + -24x + 96i + -12ix + -48i2 + 32ix + -4ix2 + -16i2x + (-20ix + 40x + -5x2) + x2(-8 + 4i + x)) = 0
(192 + -96i + -24x + 96i + -12ix + -48i2 + 32ix + -4ix2 + -16i2x + (-20ix + 40x + -5x2) + x2(-8 + 4i + x)) = 0
(192 + -96i + -24x + 96i + -12ix + -48i2 + 32ix + -4ix2 + -16i2x + -20ix + 40x + -5x2 + (-8 * x2 + 4i * x2 + x * x2)) = 0

Reorder the terms:
(192 + -96i + -24x + 96i + -12ix + -48i2 + 32ix + -4ix2 + -16i2x + -20ix + 40x + -5x2 + (4ix2 + -8x2 + x3)) = 0
(192 + -96i + -24x + 96i + -12ix + -48i2 + 32ix + -4ix2 + -16i2x + -20ix + 40x + -5x2 + (4ix2 + -8x2 + x3)) = 0

Reorder the terms:
(192 + -96i + 96i + -12ix + 32ix + -20ix + -4ix2 + 4ix2 + -48i2 + -16i2x + -24x + 40x + -5x2 + -8x2 + x3) = 0

Combine like terms: -96i + 96i = 0
(192 + 0 + -12ix + 32ix + -20ix + -4ix2 + 4ix2 + -48i2 + -16i2x + -24x + 40x + -5x2 + -8x2 + x3) = 0
(192 + -12ix + 32ix + -20ix + -4ix2 + 4ix2 + -48i2 + -16i2x + -24x + 40x + -5x2 + -8x2 + x3) = 0

Combine like terms: -12ix + 32ix = 20ix
(192 + 20ix + -20ix + -4ix2 + 4ix2 + -48i2 + -16i2x + -24x + 40x + -5x2 + -8x2 + x3) = 0

Combine like terms: 20ix + -20ix = 0
(192 + 0 + -4ix2 + 4ix2 + -48i2 + -16i2x + -24x + 40x + -5x2 + -8x2 + x3) = 0
(192 + -4ix2 + 4ix2 + -48i2 + -16i2x + -24x + 40x + -5x2 + -8x2 + x3) = 0

Combine like terms: -4ix2 + 4ix2 = 0
(192 + 0 + -48i2 + -16i2x + -24x + 40x + -5x2 + -8x2 + x3) = 0
(192 + -48i2 + -16i2x + -24x + 40x + -5x2 + -8x2 + x3) = 0

Combine like terms: -24x + 40x = 16x
(192 + -48i2 + -16i2x + 16x + -5x2 + -8x2 + x3) = 0

Combine like terms: -5x2 + -8x2 = -13x2
(192 + -48i2 + -16i2x + 16x + -13x2 + x3) = 0

Solving
192 + -48i2 + -16i2x + 16x + -13x2 + x3 = 0

Solving for variable 'i'.

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

Add '-192' to each side of the equation.
192 + -48i2 + -16i2x + 16x + -13x2 + -192 + x3 = 0 + -192

Reorder the terms:
192 + -192 + -48i2 + -16i2x + 16x + -13x2 + x3 = 0 + -192

Combine like terms: 192 + -192 = 0
0 + -48i2 + -16i2x + 16x + -13x2 + x3 = 0 + -192
-48i2 + -16i2x + 16x + -13x2 + x3 = 0 + -192

Combine like terms: 0 + -192 = -192
-48i2 + -16i2x + 16x + -13x2 + x3 = -192

Add '-16x' to each side of the equation.
-48i2 + -16i2x + 16x + -13x2 + -16x + x3 = -192 + -16x

Reorder the terms:
-48i2 + -16i2x + 16x + -16x + -13x2 + x3 = -192 + -16x

Combine like terms: 16x + -16x = 0
-48i2 + -16i2x + 0 + -13x2 + x3 = -192 + -16x
-48i2 + -16i2x + -13x2 + x3 = -192 + -16x

Add '13x2' to each side of the equation.
-48i2 + -16i2x + -13x2 + 13x2 + x3 = -192 + -16x + 13x2

Combine like terms: -13x2 + 13x2 = 0
-48i2 + -16i2x + 0 + x3 = -192 + -16x + 13x2
-48i2 + -16i2x + x3 = -192 + -16x + 13x2

Add '-1x3' to each side of the equation.
-48i2 + -16i2x + x3 + -1x3 = -192 + -16x + 13x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-48i2 + -16i2x + 0 = -192 + -16x + 13x2 + -1x3
-48i2 + -16i2x = -192 + -16x + 13x2 + -1x3

Reorder the terms:
192 + -48i2 + -16i2x + 16x + -13x2 + x3 = -192 + -16x + 13x2 + -1x3 + 192 + 16x + -13x2 + x3

Reorder the terms:
192 + -48i2 + -16i2x + 16x + -13x2 + x3 = -192 + 192 + -16x + 16x + 13x2 + -13x2 + -1x3 + x3

Combine like terms: -192 + 192 = 0
192 + -48i2 + -16i2x + 16x + -13x2 + x3 = 0 + -16x + 16x + 13x2 + -13x2 + -1x3 + x3
192 + -48i2 + -16i2x + 16x + -13x2 + x3 = -16x + 16x + 13x2 + -13x2 + -1x3 + x3

Combine like terms: -16x + 16x = 0
192 + -48i2 + -16i2x + 16x + -13x2 + x3 = 0 + 13x2 + -13x2 + -1x3 + x3
192 + -48i2 + -16i2x + 16x + -13x2 + x3 = 13x2 + -13x2 + -1x3 + x3

Combine like terms: 13x2 + -13x2 = 0
192 + -48i2 + -16i2x + 16x + -13x2 + x3 = 0 + -1x3 + x3
192 + -48i2 + -16i2x + 16x + -13x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
192 + -48i2 + -16i2x + 16x + -13x2 + x3 = 0

The solution to this equation could not be determined.

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