(x-0-4i)*(x-0+4i)*(x+2)*(x-1)=0

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Solution for (x-0-4i)*(x-0+4i)*(x+2)*(x-1)=0 equation: 


Simplifying
(x + 0 + -4i)(x + 0 + 4i)(x + 2)(x + -1) = 0

Reorder the terms:
(0 + -4i + x)(x + 0 + 4i)(x + 2)(x + -1) = 0
Remove the zero:
(-4i + x)(x + 0 + 4i)(x + 2)(x + -1) = 0

Reorder the terms:
(-4i + x)(0 + 4i + x)(x + 2)(x + -1) = 0
Remove the zero:
(-4i + x)(4i + x)(x + 2)(x + -1) = 0

Reorder the terms:
(-4i + x)(4i + x)(2 + x)(x + -1) = 0

Reorder the terms:
(-4i + x)(4i + x)(2 + x)(-1 + x) = 0

Multiply (-4i + x) * (4i + x)
(-4i * (4i + x) + x(4i + x))(2 + x)(-1 + x) = 0
((4i * -4i + x * -4i) + x(4i + x))(2 + x)(-1 + x) = 0

Reorder the terms:
((-4ix + -16i2) + x(4i + x))(2 + x)(-1 + x) = 0
((-4ix + -16i2) + x(4i + x))(2 + x)(-1 + x) = 0
(-4ix + -16i2 + (4i * x + x * x))(2 + x)(-1 + x) = 0
(-4ix + -16i2 + (4ix + x2))(2 + x)(-1 + x) = 0

Reorder the terms:
(-4ix + 4ix + -16i2 + x2)(2 + x)(-1 + x) = 0

Combine like terms: -4ix + 4ix = 0
(0 + -16i2 + x2)(2 + x)(-1 + x) = 0
(-16i2 + x2)(2 + x)(-1 + x) = 0

Multiply (-16i2 + x2) * (2 + x)
(-16i2 * (2 + x) + x2(2 + x))(-1 + x) = 0
((2 * -16i2 + x * -16i2) + x2(2 + x))(-1 + x) = 0
((-32i2 + -16i2x) + x2(2 + x))(-1 + x) = 0
(-32i2 + -16i2x + (2 * x2 + x * x2))(-1 + x) = 0
(-32i2 + -16i2x + (2x2 + x3))(-1 + x) = 0
(-32i2 + -16i2x + 2x2 + x3)(-1 + x) = 0

Multiply (-32i2 + -16i2x + 2x2 + x3) * (-1 + x)
(-32i2 * (-1 + x) + -16i2x * (-1 + x) + 2x2 * (-1 + x) + x3(-1 + x)) = 0
((-1 * -32i2 + x * -32i2) + -16i2x * (-1 + x) + 2x2 * (-1 + x) + x3(-1 + x)) = 0
((32i2 + -32i2x) + -16i2x * (-1 + x) + 2x2 * (-1 + x) + x3(-1 + x)) = 0
(32i2 + -32i2x + (-1 * -16i2x + x * -16i2x) + 2x2 * (-1 + x) + x3(-1 + x)) = 0
(32i2 + -32i2x + (16i2x + -16i2x2) + 2x2 * (-1 + x) + x3(-1 + x)) = 0
(32i2 + -32i2x + 16i2x + -16i2x2 + (-1 * 2x2 + x * 2x2) + x3(-1 + x)) = 0
(32i2 + -32i2x + 16i2x + -16i2x2 + (-2x2 + 2x3) + x3(-1 + x)) = 0
(32i2 + -32i2x + 16i2x + -16i2x2 + -2x2 + 2x3 + (-1 * x3 + x * x3)) = 0
(32i2 + -32i2x + 16i2x + -16i2x2 + -2x2 + 2x3 + (-1x3 + x4)) = 0

Combine like terms: -32i2x + 16i2x = -16i2x
(32i2 + -16i2x + -16i2x2 + -2x2 + 2x3 + -1x3 + x4) = 0

Combine like terms: 2x3 + -1x3 = 1x3
(32i2 + -16i2x + -16i2x2 + -2x2 + 1x3 + x4) = 0

Solving
32i2 + -16i2x + -16i2x2 + -2x2 + 1x3 + x4 = 0

Solving for variable 'i'.

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

Add '2x2' to each side of the equation.
32i2 + -16i2x + -16i2x2 + -2x2 + 1x3 + 2x2 + x4 = 0 + 2x2

Reorder the terms:
32i2 + -16i2x + -16i2x2 + -2x2 + 2x2 + 1x3 + x4 = 0 + 2x2

Combine like terms: -2x2 + 2x2 = 0
32i2 + -16i2x + -16i2x2 + 0 + 1x3 + x4 = 0 + 2x2
32i2 + -16i2x + -16i2x2 + 1x3 + x4 = 0 + 2x2
Remove the zero:
32i2 + -16i2x + -16i2x2 + 1x3 + x4 = 2x2

Add '-1x3' to each side of the equation.
32i2 + -16i2x + -16i2x2 + 1x3 + -1x3 + x4 = 2x2 + -1x3

Combine like terms: 1x3 + -1x3 = 0
32i2 + -16i2x + -16i2x2 + 0 + x4 = 2x2 + -1x3
32i2 + -16i2x + -16i2x2 + x4 = 2x2 + -1x3

Add '-1x4' to each side of the equation.
32i2 + -16i2x + -16i2x2 + x4 + -1x4 = 2x2 + -1x3 + -1x4

Combine like terms: x4 + -1x4 = 0
32i2 + -16i2x + -16i2x2 + 0 = 2x2 + -1x3 + -1x4
32i2 + -16i2x + -16i2x2 = 2x2 + -1x3 + -1x4

Reorder the terms:
32i2 + -16i2x + -16i2x2 + -2x2 + x3 + x4 = 2x2 + -2x2 + -1x3 + x3 + -1x4 + x4

Combine like terms: 2x2 + -2x2 = 0
32i2 + -16i2x + -16i2x2 + -2x2 + x3 + x4 = 0 + -1x3 + x3 + -1x4 + x4
32i2 + -16i2x + -16i2x2 + -2x2 + x3 + x4 = -1x3 + x3 + -1x4 + x4

Combine like terms: -1x3 + x3 = 0
32i2 + -16i2x + -16i2x2 + -2x2 + x3 + x4 = 0 + -1x4 + x4
32i2 + -16i2x + -16i2x2 + -2x2 + x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
32i2 + -16i2x + -16i2x2 + -2x2 + x3 + x4 = 0

The solution to this equation could not be determined.

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