(x+1)[(x-4)+3i][(x-4)-3i]=0

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Solution for (x+1)[(x-4)+3i][(x-4)-3i]=0 equation: 


Simplifying
(x + 1)[(x + -4) + 3i][(x + -4) + -3i] = 0

Reorder the terms:
(1 + x)[(x + -4) + 3i][(x + -4) + -3i] = 0

Reorder the terms:
(1 + x)[(-4 + x) + 3i][(x + -4) + -3i] = 0

Remove parenthesis around (-4 + x)
(1 + x)[-4 + x + 3i][(x + -4) + -3i] = 0

Reorder the terms:
(1 + x)[-4 + 3i + x][(x + -4) + -3i] = 0

Reorder the terms:
(1 + x)[-4 + 3i + x][(-4 + x) + -3i] = 0

Remove parenthesis around (-4 + x)
(1 + x)[-4 + 3i + x][-4 + x + -3i] = 0

Reorder the terms:
(1 + x)[-4 + 3i + x][-4 + -3i + x] = 0

Multiply (1 + x) * [-4 + 3i + x]
(1[-4 + 3i + x] + x[-4 + 3i + x])[-4 + -3i + x] = 0
([-4 * 1 + 3i * 1 + x * 1] + x[-4 + 3i + x])[-4 + -3i + x] = 0
([-4 + 3i + 1x] + x[-4 + 3i + x])[-4 + -3i + x] = 0
(-4 + 3i + 1x + [-4 * x + 3i * x + x * x])[-4 + -3i + x] = 0

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

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

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

Multiply (-4 + 3i + 3ix + -3x + x2) * [-4 + -3i + x]
(-4[-4 + -3i + x] + 3i * [-4 + -3i + x] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x]) = 0
([-4 * -4 + -3i * -4 + x * -4] + 3i * [-4 + -3i + x] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x]) = 0
([16 + 12i + -4x] + 3i * [-4 + -3i + x] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x]) = 0
(16 + 12i + -4x + [-4 * 3i + -3i * 3i + x * 3i] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x]) = 0

Reorder the terms:
(16 + 12i + -4x + [-12i + 3ix + -9i2] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x]) = 0
(16 + 12i + -4x + [-12i + 3ix + -9i2] + 3ix * [-4 + -3i + x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x]) = 0
(16 + 12i + -4x + -12i + 3ix + -9i2 + [-4 * 3ix + -3i * 3ix + x * 3ix] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x]) = 0

Reorder the terms:
(16 + 12i + -4x + -12i + 3ix + -9i2 + [-12ix + 3ix2 + -9i2x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x]) = 0
(16 + 12i + -4x + -12i + 3ix + -9i2 + [-12ix + 3ix2 + -9i2x] + -3x * [-4 + -3i + x] + x2[-4 + -3i + x]) = 0
(16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + [-4 * -3x + -3i * -3x + x * -3x] + x2[-4 + -3i + x]) = 0

Reorder the terms:
(16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + [9ix + 12x + -3x2] + x2[-4 + -3i + x]) = 0
(16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + [9ix + 12x + -3x2] + x2[-4 + -3i + x]) = 0
(16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + 9ix + 12x + -3x2 + [-4 * x2 + -3i * x2 + x * x2]) = 0

Reorder the terms:
(16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + 9ix + 12x + -3x2 + [-3ix2 + -4x2 + x3]) = 0
(16 + 12i + -4x + -12i + 3ix + -9i2 + -12ix + 3ix2 + -9i2x + 9ix + 12x + -3x2 + [-3ix2 + -4x2 + x3]) = 0

Reorder the terms:
(16 + 12i + -12i + 3ix + -12ix + 9ix + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3) = 0

Combine like terms: 12i + -12i = 0
(16 + 0 + 3ix + -12ix + 9ix + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3) = 0
(16 + 3ix + -12ix + 9ix + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3) = 0

Combine like terms: 3ix + -12ix = -9ix
(16 + -9ix + 9ix + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3) = 0

Combine like terms: -9ix + 9ix = 0
(16 + 0 + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3) = 0
(16 + 3ix2 + -3ix2 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3) = 0

Combine like terms: 3ix2 + -3ix2 = 0
(16 + 0 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3) = 0
(16 + -9i2 + -9i2x + -4x + 12x + -3x2 + -4x2 + x3) = 0

Combine like terms: -4x + 12x = 8x
(16 + -9i2 + -9i2x + 8x + -3x2 + -4x2 + x3) = 0

Combine like terms: -3x2 + -4x2 = -7x2
(16 + -9i2 + -9i2x + 8x + -7x2 + x3) = 0

Solving
16 + -9i2 + -9i2x + 8x + -7x2 + x3 = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -9i2 + -9i2x + 8x + -7x2 + -16 + x3 = 0 + -16

Reorder the terms:
16 + -16 + -9i2 + -9i2x + 8x + -7x2 + x3 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -9i2 + -9i2x + 8x + -7x2 + x3 = 0 + -16
-9i2 + -9i2x + 8x + -7x2 + x3 = 0 + -16

Combine like terms: 0 + -16 = -16
-9i2 + -9i2x + 8x + -7x2 + x3 = -16

Add '-8x' to each side of the equation.
-9i2 + -9i2x + 8x + -7x2 + -8x + x3 = -16 + -8x

Reorder the terms:
-9i2 + -9i2x + 8x + -8x + -7x2 + x3 = -16 + -8x

Combine like terms: 8x + -8x = 0
-9i2 + -9i2x + 0 + -7x2 + x3 = -16 + -8x
-9i2 + -9i2x + -7x2 + x3 = -16 + -8x

Add '7x2' to each side of the equation.
-9i2 + -9i2x + -7x2 + 7x2 + x3 = -16 + -8x + 7x2

Combine like terms: -7x2 + 7x2 = 0
-9i2 + -9i2x + 0 + x3 = -16 + -8x + 7x2
-9i2 + -9i2x + x3 = -16 + -8x + 7x2

Add '-1x3' to each side of the equation.
-9i2 + -9i2x + x3 + -1x3 = -16 + -8x + 7x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-9i2 + -9i2x + 0 = -16 + -8x + 7x2 + -1x3
-9i2 + -9i2x = -16 + -8x + 7x2 + -1x3

Reorder the terms:
16 + -9i2 + -9i2x + 8x + -7x2 + x3 = -16 + -8x + 7x2 + -1x3 + 16 + 8x + -7x2 + x3

Reorder the terms:
16 + -9i2 + -9i2x + 8x + -7x2 + x3 = -16 + 16 + -8x + 8x + 7x2 + -7x2 + -1x3 + x3

Combine like terms: -16 + 16 = 0
16 + -9i2 + -9i2x + 8x + -7x2 + x3 = 0 + -8x + 8x + 7x2 + -7x2 + -1x3 + x3
16 + -9i2 + -9i2x + 8x + -7x2 + x3 = -8x + 8x + 7x2 + -7x2 + -1x3 + x3

Combine like terms: -8x + 8x = 0
16 + -9i2 + -9i2x + 8x + -7x2 + x3 = 0 + 7x2 + -7x2 + -1x3 + x3
16 + -9i2 + -9i2x + 8x + -7x2 + x3 = 7x2 + -7x2 + -1x3 + x3

Combine like terms: 7x2 + -7x2 = 0
16 + -9i2 + -9i2x + 8x + -7x2 + x3 = 0 + -1x3 + x3
16 + -9i2 + -9i2x + 8x + -7x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
16 + -9i2 + -9i2x + 8x + -7x2 + x3 = 0

The solution to this equation could not be determined.

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