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

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


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

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

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

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

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

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

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

Reorder the terms:
((3ix + 9i2) + -3ix * (3i + x) + -1x * (3i + x) + x2(3i + x)) = 0
((3ix + 9i2) + -3ix * (3i + x) + -1x * (3i + x) + x2(3i + x)) = 0
(3ix + 9i2 + (3i * -3ix + x * -3ix) + -1x * (3i + x) + x2(3i + x)) = 0

Reorder the terms:
(3ix + 9i2 + (-3ix2 + -9i2x) + -1x * (3i + x) + x2(3i + x)) = 0
(3ix + 9i2 + (-3ix2 + -9i2x) + -1x * (3i + x) + x2(3i + x)) = 0
(3ix + 9i2 + -3ix2 + -9i2x + (3i * -1x + x * -1x) + x2(3i + x)) = 0
(3ix + 9i2 + -3ix2 + -9i2x + (-3ix + -1x2) + x2(3i + x)) = 0
(3ix + 9i2 + -3ix2 + -9i2x + -3ix + -1x2 + (3i * x2 + x * x2)) = 0
(3ix + 9i2 + -3ix2 + -9i2x + -3ix + -1x2 + (3ix2 + x3)) = 0

Reorder the terms:
(3ix + -3ix + -3ix2 + 3ix2 + 9i2 + -9i2x + -1x2 + x3) = 0

Combine like terms: 3ix + -3ix = 0
(0 + -3ix2 + 3ix2 + 9i2 + -9i2x + -1x2 + x3) = 0
(-3ix2 + 3ix2 + 9i2 + -9i2x + -1x2 + x3) = 0

Combine like terms: -3ix2 + 3ix2 = 0
(0 + 9i2 + -9i2x + -1x2 + x3) = 0
(9i2 + -9i2x + -1x2 + x3) = 0

Solving
9i2 + -9i2x + -1x2 + x3 = 0

Solving for variable 'i'.

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

Add 'x2' to each side of the equation.
9i2 + -9i2x + -1x2 + x2 + x3 = 0 + x2

Combine like terms: -1x2 + x2 = 0
9i2 + -9i2x + 0 + x3 = 0 + x2
9i2 + -9i2x + x3 = 0 + x2
Remove the zero:
9i2 + -9i2x + x3 = x2

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

Combine like terms: x3 + -1x3 = 0
9i2 + -9i2x + 0 = x2 + -1x3
9i2 + -9i2x = x2 + -1x3

Reorder the terms:
9i2 + -9i2x + -1x2 + x3 = x2 + -1x2 + -1x3 + x3

Combine like terms: x2 + -1x2 = 0
9i2 + -9i2x + -1x2 + x3 = 0 + -1x3 + x3
9i2 + -9i2x + -1x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
9i2 + -9i2x + -1x2 + x3 = 0

The solution to this equation could not be determined.

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