y=(x-1)(x+2)(x-4+3i)

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Solution for y=(x-1)(x+2)(x-4+3i) equation:


Simplifying
y = (x + -1)(x + 2)(x + -4 + 3i)

Reorder the terms:
y = (-1 + x)(x + 2)(x + -4 + 3i)

Reorder the terms:
y = (-1 + x)(2 + x)(x + -4 + 3i)

Reorder the terms:
y = (-1 + x)(2 + x)(-4 + 3i + x)

Multiply (-1 + x) * (2 + x)
y = (-1(2 + x) + x(2 + x))(-4 + 3i + x)
y = ((2 * -1 + x * -1) + x(2 + x))(-4 + 3i + x)
y = ((-2 + -1x) + x(2 + x))(-4 + 3i + x)
y = (-2 + -1x + (2 * x + x * x))(-4 + 3i + x)
y = (-2 + -1x + (2x + x2))(-4 + 3i + x)

Combine like terms: -1x + 2x = 1x
y = (-2 + 1x + x2)(-4 + 3i + x)

Multiply (-2 + 1x + x2) * (-4 + 3i + x)
y = (-2(-4 + 3i + x) + 1x * (-4 + 3i + x) + x2(-4 + 3i + x))
y = ((-4 * -2 + 3i * -2 + x * -2) + 1x * (-4 + 3i + x) + x2(-4 + 3i + x))
y = ((8 + -6i + -2x) + 1x * (-4 + 3i + x) + x2(-4 + 3i + x))
y = (8 + -6i + -2x + (-4 * 1x + 3i * 1x + x * 1x) + x2(-4 + 3i + x))

Reorder the terms:
y = (8 + -6i + -2x + (3ix + -4x + 1x2) + x2(-4 + 3i + x))
y = (8 + -6i + -2x + (3ix + -4x + 1x2) + x2(-4 + 3i + x))
y = (8 + -6i + -2x + 3ix + -4x + 1x2 + (-4 * x2 + 3i * x2 + x * x2))

Reorder the terms:
y = (8 + -6i + -2x + 3ix + -4x + 1x2 + (3ix2 + -4x2 + x3))
y = (8 + -6i + -2x + 3ix + -4x + 1x2 + (3ix2 + -4x2 + x3))

Reorder the terms:
y = (8 + -6i + 3ix + 3ix2 + -2x + -4x + 1x2 + -4x2 + x3)

Combine like terms: -2x + -4x = -6x
y = (8 + -6i + 3ix + 3ix2 + -6x + 1x2 + -4x2 + x3)

Combine like terms: 1x2 + -4x2 = -3x2
y = (8 + -6i + 3ix + 3ix2 + -6x + -3x2 + x3)

Solving
y = 8 + -6i + 3ix + 3ix2 + -6x + -3x2 + x3

Solving for variable 'y'.

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

Simplifying
y = 8 + -6i + 3ix + 3ix2 + -6x + -3x2 + x3

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