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

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


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

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

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

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

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

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

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

Multiply (-1 + x2) * (-3i + x)
(-1(-3i + x) + x2(-3i + x))(3i + x) = 0
((-3i * -1 + x * -1) + x2(-3i + x))(3i + x) = 0
((3i + -1x) + x2(-3i + x))(3i + x) = 0
(3i + -1x + (-3i * x2 + x * x2))(3i + x) = 0
(3i + -1x + (-3ix2 + x3))(3i + x) = 0

Reorder the terms:
(3i + -3ix2 + -1x + x3)(3i + x) = 0
(3i + -3ix2 + -1x + x3)(3i + x) = 0

Multiply (3i + -3ix2 + -1x + x3) * (3i + x)
(3i * (3i + x) + -3ix2 * (3i + x) + -1x * (3i + x) + x3(3i + x)) = 0
((3i * 3i + x * 3i) + -3ix2 * (3i + x) + -1x * (3i + x) + x3(3i + x)) = 0

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

Reorder the terms:
(3ix + 9i2 + (-3ix3 + -9i2x2) + -1x * (3i + x) + x3(3i + x)) = 0
(3ix + 9i2 + (-3ix3 + -9i2x2) + -1x * (3i + x) + x3(3i + x)) = 0
(3ix + 9i2 + -3ix3 + -9i2x2 + (3i * -1x + x * -1x) + x3(3i + x)) = 0
(3ix + 9i2 + -3ix3 + -9i2x2 + (-3ix + -1x2) + x3(3i + x)) = 0
(3ix + 9i2 + -3ix3 + -9i2x2 + -3ix + -1x2 + (3i * x3 + x * x3)) = 0
(3ix + 9i2 + -3ix3 + -9i2x2 + -3ix + -1x2 + (3ix3 + x4)) = 0

Reorder the terms:
(3ix + -3ix + -3ix3 + 3ix3 + 9i2 + -9i2x2 + -1x2 + x4) = 0

Combine like terms: 3ix + -3ix = 0
(0 + -3ix3 + 3ix3 + 9i2 + -9i2x2 + -1x2 + x4) = 0
(-3ix3 + 3ix3 + 9i2 + -9i2x2 + -1x2 + x4) = 0

Combine like terms: -3ix3 + 3ix3 = 0
(0 + 9i2 + -9i2x2 + -1x2 + x4) = 0
(9i2 + -9i2x2 + -1x2 + x4) = 0

Solving
9i2 + -9i2x2 + -1x2 + x4 = 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 + -9i2x2 + -1x2 + x2 + x4 = 0 + x2

Combine like terms: -1x2 + x2 = 0
9i2 + -9i2x2 + 0 + x4 = 0 + x2
9i2 + -9i2x2 + x4 = 0 + x2
Remove the zero:
9i2 + -9i2x2 + x4 = x2

Add '-1x4' to each side of the equation.
9i2 + -9i2x2 + x4 + -1x4 = x2 + -1x4

Combine like terms: x4 + -1x4 = 0
9i2 + -9i2x2 + 0 = x2 + -1x4
9i2 + -9i2x2 = x2 + -1x4

Reorder the terms:
9i2 + -9i2x2 + -1x2 + x4 = x2 + -1x2 + -1x4 + x4

Combine like terms: x2 + -1x2 = 0
9i2 + -9i2x2 + -1x2 + x4 = 0 + -1x4 + x4
9i2 + -9i2x2 + -1x2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
9i2 + -9i2x2 + -1x2 + x4 = 0

The solution to this equation could not be determined.

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