(x-5)(x+3)(x+1-3i)(x+1+3i)=

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Solution for (x-5)(x+3)(x+1-3i)(x+1+3i)= equation:


Simplifying
(x + -5)(x + 3)(x + 1 + -3i)(x + 1 + 3i) = 0

Reorder the terms:
(-5 + x)(x + 3)(x + 1 + -3i)(x + 1 + 3i) = 0

Reorder the terms:
(-5 + x)(3 + x)(x + 1 + -3i)(x + 1 + 3i) = 0

Reorder the terms:
(-5 + x)(3 + x)(1 + -3i + x)(x + 1 + 3i) = 0

Reorder the terms:
(-5 + x)(3 + x)(1 + -3i + x)(1 + 3i + x) = 0

Multiply (-5 + x) * (3 + x)
(-5(3 + x) + x(3 + x))(1 + -3i + x)(1 + 3i + x) = 0
((3 * -5 + x * -5) + x(3 + x))(1 + -3i + x)(1 + 3i + x) = 0
((-15 + -5x) + x(3 + x))(1 + -3i + x)(1 + 3i + x) = 0
(-15 + -5x + (3 * x + x * x))(1 + -3i + x)(1 + 3i + x) = 0
(-15 + -5x + (3x + x2))(1 + -3i + x)(1 + 3i + x) = 0

Combine like terms: -5x + 3x = -2x
(-15 + -2x + x2)(1 + -3i + x)(1 + 3i + x) = 0

Multiply (-15 + -2x + x2) * (1 + -3i + x)
(-15(1 + -3i + x) + -2x * (1 + -3i + x) + x2(1 + -3i + x))(1 + 3i + x) = 0
((1 * -15 + -3i * -15 + x * -15) + -2x * (1 + -3i + x) + x2(1 + -3i + x))(1 + 3i + x) = 0
((-15 + 45i + -15x) + -2x * (1 + -3i + x) + x2(1 + -3i + x))(1 + 3i + x) = 0
(-15 + 45i + -15x + (1 * -2x + -3i * -2x + x * -2x) + x2(1 + -3i + x))(1 + 3i + x) = 0

Reorder the terms:
(-15 + 45i + -15x + (6ix + -2x + -2x2) + x2(1 + -3i + x))(1 + 3i + x) = 0
(-15 + 45i + -15x + (6ix + -2x + -2x2) + x2(1 + -3i + x))(1 + 3i + x) = 0
(-15 + 45i + -15x + 6ix + -2x + -2x2 + (1 * x2 + -3i * x2 + x * x2))(1 + 3i + x) = 0

Reorder the terms:
(-15 + 45i + -15x + 6ix + -2x + -2x2 + (-3ix2 + 1x2 + x3))(1 + 3i + x) = 0
(-15 + 45i + -15x + 6ix + -2x + -2x2 + (-3ix2 + 1x2 + x3))(1 + 3i + x) = 0

Reorder the terms:
(-15 + 45i + 6ix + -3ix2 + -15x + -2x + -2x2 + 1x2 + x3)(1 + 3i + x) = 0

Combine like terms: -15x + -2x = -17x
(-15 + 45i + 6ix + -3ix2 + -17x + -2x2 + 1x2 + x3)(1 + 3i + x) = 0

Combine like terms: -2x2 + 1x2 = -1x2
(-15 + 45i + 6ix + -3ix2 + -17x + -1x2 + x3)(1 + 3i + x) = 0

Multiply (-15 + 45i + 6ix + -3ix2 + -17x + -1x2 + x3) * (1 + 3i + x)
(-15(1 + 3i + x) + 45i * (1 + 3i + x) + 6ix * (1 + 3i + x) + -3ix2 * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
((1 * -15 + 3i * -15 + x * -15) + 45i * (1 + 3i + x) + 6ix * (1 + 3i + x) + -3ix2 * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
((-15 + -45i + -15x) + 45i * (1 + 3i + x) + 6ix * (1 + 3i + x) + -3ix2 * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + (1 * 45i + 3i * 45i + x * 45i) + 6ix * (1 + 3i + x) + -3ix2 * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0

Reorder the terms:
(-15 + -45i + -15x + (45i + 45ix + 135i2) + 6ix * (1 + 3i + x) + -3ix2 * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + (45i + 45ix + 135i2) + 6ix * (1 + 3i + x) + -3ix2 * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i2 + (1 * 6ix + 3i * 6ix + x * 6ix) + -3ix2 * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0

Reorder the terms:
(-15 + -45i + -15x + 45i + 45ix + 135i2 + (6ix + 6ix2 + 18i2x) + -3ix2 * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i2 + (6ix + 6ix2 + 18i2x) + -3ix2 * (1 + 3i + x) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + (1 * -3ix2 + 3i * -3ix2 + x * -3ix2) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0

Reorder the terms:
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + (-3ix2 + -3ix3 + -9i2x2) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + (-3ix2 + -3ix3 + -9i2x2) + -17x * (1 + 3i + x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + -3ix2 + -3ix3 + -9i2x2 + (1 * -17x + 3i * -17x + x * -17x) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0

Reorder the terms:
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + -3ix2 + -3ix3 + -9i2x2 + (-51ix + -17x + -17x2) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + -3ix2 + -3ix3 + -9i2x2 + (-51ix + -17x + -17x2) + -1x2 * (1 + 3i + x) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + -3ix2 + -3ix3 + -9i2x2 + -51ix + -17x + -17x2 + (1 * -1x2 + 3i * -1x2 + x * -1x2) + x3(1 + 3i + x)) = 0

Reorder the terms:
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + -3ix2 + -3ix3 + -9i2x2 + -51ix + -17x + -17x2 + (-3ix2 + -1x2 + -1x3) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + -3ix2 + -3ix3 + -9i2x2 + -51ix + -17x + -17x2 + (-3ix2 + -1x2 + -1x3) + x3(1 + 3i + x)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + -3ix2 + -3ix3 + -9i2x2 + -51ix + -17x + -17x2 + -3ix2 + -1x2 + -1x3 + (1 * x3 + 3i * x3 + x * x3)) = 0

Reorder the terms:
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + -3ix2 + -3ix3 + -9i2x2 + -51ix + -17x + -17x2 + -3ix2 + -1x2 + -1x3 + (3ix3 + 1x3 + x4)) = 0
(-15 + -45i + -15x + 45i + 45ix + 135i2 + 6ix + 6ix2 + 18i2x + -3ix2 + -3ix3 + -9i2x2 + -51ix + -17x + -17x2 + -3ix2 + -1x2 + -1x3 + (3ix3 + 1x3 + x4)) = 0

Reorder the terms:
(-15 + -45i + 45i + 45ix + 6ix + -51ix + 6ix2 + -3ix2 + -3ix2 + -3ix3 + 3ix3 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0

Combine like terms: -45i + 45i = 0
(-15 + 0 + 45ix + 6ix + -51ix + 6ix2 + -3ix2 + -3ix2 + -3ix3 + 3ix3 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0
(-15 + 45ix + 6ix + -51ix + 6ix2 + -3ix2 + -3ix2 + -3ix3 + 3ix3 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0

Combine like terms: 45ix + 6ix = 51ix
(-15 + 51ix + -51ix + 6ix2 + -3ix2 + -3ix2 + -3ix3 + 3ix3 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0

Combine like terms: 51ix + -51ix = 0
(-15 + 0 + 6ix2 + -3ix2 + -3ix2 + -3ix3 + 3ix3 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0
(-15 + 6ix2 + -3ix2 + -3ix2 + -3ix3 + 3ix3 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0

Combine like terms: 6ix2 + -3ix2 = 3ix2
(-15 + 3ix2 + -3ix2 + -3ix3 + 3ix3 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0

Combine like terms: 3ix2 + -3ix2 = 0
(-15 + 0 + -3ix3 + 3ix3 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0
(-15 + -3ix3 + 3ix3 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0

Combine like terms: -3ix3 + 3ix3 = 0
(-15 + 0 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0
(-15 + 135i2 + 18i2x + -9i2x2 + -15x + -17x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0

Combine like terms: -15x + -17x = -32x
(-15 + 135i2 + 18i2x + -9i2x2 + -32x + -17x2 + -1x2 + -1x3 + 1x3 + x4) = 0

Combine like terms: -17x2 + -1x2 = -18x2
(-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + -1x3 + 1x3 + x4) = 0

Combine like terms: -1x3 + 1x3 = 0
(-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + 0 + x4) = 0
(-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4) = 0

Solving
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 0

Solving for variable 'i'.

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

Add '15' to each side of the equation.
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + 15 + x4 = 0 + 15

Reorder the terms:
-15 + 15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 0 + 15
135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 0 + 15

Combine like terms: 0 + 15 = 15
135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 15

Add '32x' to each side of the equation.
135i2 + 18i2x + -9i2x2 + -32x + -18x2 + 32x + x4 = 15 + 32x

Reorder the terms:
135i2 + 18i2x + -9i2x2 + -32x + 32x + -18x2 + x4 = 15 + 32x

Combine like terms: -32x + 32x = 0
135i2 + 18i2x + -9i2x2 + 0 + -18x2 + x4 = 15 + 32x
135i2 + 18i2x + -9i2x2 + -18x2 + x4 = 15 + 32x

Add '18x2' to each side of the equation.
135i2 + 18i2x + -9i2x2 + -18x2 + 18x2 + x4 = 15 + 32x + 18x2

Combine like terms: -18x2 + 18x2 = 0
135i2 + 18i2x + -9i2x2 + 0 + x4 = 15 + 32x + 18x2
135i2 + 18i2x + -9i2x2 + x4 = 15 + 32x + 18x2

Add '-1x4' to each side of the equation.
135i2 + 18i2x + -9i2x2 + x4 + -1x4 = 15 + 32x + 18x2 + -1x4

Combine like terms: x4 + -1x4 = 0
135i2 + 18i2x + -9i2x2 + 0 = 15 + 32x + 18x2 + -1x4
135i2 + 18i2x + -9i2x2 = 15 + 32x + 18x2 + -1x4

Reorder the terms:
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 15 + 32x + 18x2 + -1x4 + -15 + -32x + -18x2 + x4

Reorder the terms:
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 15 + -15 + 32x + -32x + 18x2 + -18x2 + -1x4 + x4

Combine like terms: 15 + -15 = 0
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 0 + 32x + -32x + 18x2 + -18x2 + -1x4 + x4
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 32x + -32x + 18x2 + -18x2 + -1x4 + x4

Combine like terms: 32x + -32x = 0
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 0 + 18x2 + -18x2 + -1x4 + x4
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 18x2 + -18x2 + -1x4 + x4

Combine like terms: 18x2 + -18x2 = 0
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 0 + -1x4 + x4
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-15 + 135i2 + 18i2x + -9i2x2 + -32x + -18x2 + x4 = 0

The solution to this equation could not be determined.

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