Y=(x^3+11x^2+12x-8)(x-3+i)

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Solution for Y=(x^3+11x^2+12x-8)(x-3+i) equation: 


Simplifying
Y = (x3 + 11x2 + 12x + -8)(x + -3 + i)

Reorder the terms:
Y = (-8 + 12x + 11x2 + x3)(x + -3 + i)

Reorder the terms:
Y = (-8 + 12x + 11x2 + x3)(-3 + i + x)

Multiply (-8 + 12x + 11x2 + x3) * (-3 + i + x)
Y = (-8(-3 + i + x) + 12x * (-3 + i + x) + 11x2 * (-3 + i + x) + x3(-3 + i + x))
Y = ((-3 * -8 + i * -8 + x * -8) + 12x * (-3 + i + x) + 11x2 * (-3 + i + x) + x3(-3 + i + x))
Y = ((24 + -8i + -8x) + 12x * (-3 + i + x) + 11x2 * (-3 + i + x) + x3(-3 + i + x))
Y = (24 + -8i + -8x + (-3 * 12x + i * 12x + x * 12x) + 11x2 * (-3 + i + x) + x3(-3 + i + x))

Reorder the terms:
Y = (24 + -8i + -8x + (12ix + -36x + 12x2) + 11x2 * (-3 + i + x) + x3(-3 + i + x))
Y = (24 + -8i + -8x + (12ix + -36x + 12x2) + 11x2 * (-3 + i + x) + x3(-3 + i + x))
Y = (24 + -8i + -8x + 12ix + -36x + 12x2 + (-3 * 11x2 + i * 11x2 + x * 11x2) + x3(-3 + i + x))

Reorder the terms:
Y = (24 + -8i + -8x + 12ix + -36x + 12x2 + (11ix2 + -33x2 + 11x3) + x3(-3 + i + x))
Y = (24 + -8i + -8x + 12ix + -36x + 12x2 + (11ix2 + -33x2 + 11x3) + x3(-3 + i + x))
Y = (24 + -8i + -8x + 12ix + -36x + 12x2 + 11ix2 + -33x2 + 11x3 + (-3 * x3 + i * x3 + x * x3))

Reorder the terms:
Y = (24 + -8i + -8x + 12ix + -36x + 12x2 + 11ix2 + -33x2 + 11x3 + (ix3 + -3x3 + x4))
Y = (24 + -8i + -8x + 12ix + -36x + 12x2 + 11ix2 + -33x2 + 11x3 + (ix3 + -3x3 + x4))

Reorder the terms:
Y = (24 + -8i + 12ix + 11ix2 + ix3 + -8x + -36x + 12x2 + -33x2 + 11x3 + -3x3 + x4)

Combine like terms: -8x + -36x = -44x
Y = (24 + -8i + 12ix + 11ix2 + ix3 + -44x + 12x2 + -33x2 + 11x3 + -3x3 + x4)

Combine like terms: 12x2 + -33x2 = -21x2
Y = (24 + -8i + 12ix + 11ix2 + ix3 + -44x + -21x2 + 11x3 + -3x3 + x4)

Combine like terms: 11x3 + -3x3 = 8x3
Y = (24 + -8i + 12ix + 11ix2 + ix3 + -44x + -21x2 + 8x3 + x4)

Solving
Y = 24 + -8i + 12ix + 11ix2 + ix3 + -44x + -21x2 + 8x3 + x4

Solving for variable 'Y'.

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

Simplifying
Y = 24 + -8i + 12ix + 11ix2 + ix3 + -44x + -21x2 + 8x3 + x4

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