f(x)=[x-(3-3i)][x-(3+3i)](x+2)(x-1)

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Solution for f(x)=[x-(3-3i)][x-(3+3i)](x+2)(x-1) equation:


Simplifying
f(x) = [x + -1(3 + -3i)][x + -1(3 + 3i)](x + 2)(x + -1)

Multiply f * x
fx = [x + -1(3 + -3i)][x + -1(3 + 3i)](x + 2)(x + -1)
fx = [x + (3 * -1 + -3i * -1)][x + -1(3 + 3i)](x + 2)(x + -1)
fx = [x + (-3 + 3i)][x + -1(3 + 3i)](x + 2)(x + -1)

Reorder the terms:
fx = [-3 + 3i + x][x + -1(3 + 3i)](x + 2)(x + -1)
fx = [-3 + 3i + x][x + (3 * -1 + 3i * -1)](x + 2)(x + -1)
fx = [-3 + 3i + x][x + (-3 + -3i)](x + 2)(x + -1)

Reorder the terms:
fx = [-3 + 3i + x][-3 + -3i + x](x + 2)(x + -1)

Reorder the terms:
fx = [-3 + 3i + x][-3 + -3i + x](2 + x)(x + -1)

Reorder the terms:
fx = [-3 + 3i + x][-3 + -3i + x](2 + x)(-1 + x)

Multiply [-3 + 3i + x] * [-3 + -3i + x]
fx = [-3[-3 + -3i + x] + 3i * [-3 + -3i + x] + x[-3 + -3i + x]](2 + x)(-1 + x)
fx = [[-3 * -3 + -3i * -3 + x * -3] + 3i * [-3 + -3i + x] + x[-3 + -3i + x]](2 + x)(-1 + x)
fx = [[9 + 9i + -3x] + 3i * [-3 + -3i + x] + x[-3 + -3i + x]](2 + x)(-1 + x)
fx = [9 + 9i + -3x + [-3 * 3i + -3i * 3i + x * 3i] + x[-3 + -3i + x]](2 + x)(-1 + x)

Reorder the terms:
fx = [9 + 9i + -3x + [-9i + 3ix + -9i2] + x[-3 + -3i + x]](2 + x)(-1 + x)
fx = [9 + 9i + -3x + [-9i + 3ix + -9i2] + x[-3 + -3i + x]](2 + x)(-1 + x)
fx = [9 + 9i + -3x + -9i + 3ix + -9i2 + [-3 * x + -3i * x + x * x]](2 + x)(-1 + x)

Reorder the terms:
fx = [9 + 9i + -3x + -9i + 3ix + -9i2 + [-3ix + -3x + x2]](2 + x)(-1 + x)
fx = [9 + 9i + -3x + -9i + 3ix + -9i2 + [-3ix + -3x + x2]](2 + x)(-1 + x)

Reorder the terms:
fx = [9 + 9i + -9i + 3ix + -3ix + -9i2 + -3x + -3x + x2](2 + x)(-1 + x)

Combine like terms: 9i + -9i = 0
fx = [9 + 0 + 3ix + -3ix + -9i2 + -3x + -3x + x2](2 + x)(-1 + x)
fx = [9 + 3ix + -3ix + -9i2 + -3x + -3x + x2](2 + x)(-1 + x)

Combine like terms: 3ix + -3ix = 0
fx = [9 + 0 + -9i2 + -3x + -3x + x2](2 + x)(-1 + x)
fx = [9 + -9i2 + -3x + -3x + x2](2 + x)(-1 + x)

Combine like terms: -3x + -3x = -6x
fx = [9 + -9i2 + -6x + x2](2 + x)(-1 + x)

Multiply [9 + -9i2 + -6x + x2] * (2 + x)
fx = [9(2 + x) + -9i2 * (2 + x) + -6x * (2 + x) + x2(2 + x)](-1 + x)
fx = [(2 * 9 + x * 9) + -9i2 * (2 + x) + -6x * (2 + x) + x2(2 + x)](-1 + x)
fx = [(18 + 9x) + -9i2 * (2 + x) + -6x * (2 + x) + x2(2 + x)](-1 + x)
fx = [18 + 9x + (2 * -9i2 + x * -9i2) + -6x * (2 + x) + x2(2 + x)](-1 + x)
fx = [18 + 9x + (-18i2 + -9i2x) + -6x * (2 + x) + x2(2 + x)](-1 + x)
fx = [18 + 9x + -18i2 + -9i2x + (2 * -6x + x * -6x) + x2(2 + x)](-1 + x)
fx = [18 + 9x + -18i2 + -9i2x + (-12x + -6x2) + x2(2 + x)](-1 + x)
fx = [18 + 9x + -18i2 + -9i2x + -12x + -6x2 + (2 * x2 + x * x2)](-1 + x)
fx = [18 + 9x + -18i2 + -9i2x + -12x + -6x2 + (2x2 + x3)](-1 + x)

Reorder the terms:
fx = [18 + -18i2 + -9i2x + 9x + -12x + -6x2 + 2x2 + x3](-1 + x)

Combine like terms: 9x + -12x = -3x
fx = [18 + -18i2 + -9i2x + -3x + -6x2 + 2x2 + x3](-1 + x)

Combine like terms: -6x2 + 2x2 = -4x2
fx = [18 + -18i2 + -9i2x + -3x + -4x2 + x3](-1 + x)

Multiply [18 + -18i2 + -9i2x + -3x + -4x2 + x3] * (-1 + x)
fx = [18(-1 + x) + -18i2 * (-1 + x) + -9i2x * (-1 + x) + -3x * (-1 + x) + -4x2 * (-1 + x) + x3(-1 + x)]
fx = [(-1 * 18 + x * 18) + -18i2 * (-1 + x) + -9i2x * (-1 + x) + -3x * (-1 + x) + -4x2 * (-1 + x) + x3(-1 + x)]
fx = [(-18 + 18x) + -18i2 * (-1 + x) + -9i2x * (-1 + x) + -3x * (-1 + x) + -4x2 * (-1 + x) + x3(-1 + x)]
fx = [-18 + 18x + (-1 * -18i2 + x * -18i2) + -9i2x * (-1 + x) + -3x * (-1 + x) + -4x2 * (-1 + x) + x3(-1 + x)]
fx = [-18 + 18x + (18i2 + -18i2x) + -9i2x * (-1 + x) + -3x * (-1 + x) + -4x2 * (-1 + x) + x3(-1 + x)]
fx = [-18 + 18x + 18i2 + -18i2x + (-1 * -9i2x + x * -9i2x) + -3x * (-1 + x) + -4x2 * (-1 + x) + x3(-1 + x)]
fx = [-18 + 18x + 18i2 + -18i2x + (9i2x + -9i2x2) + -3x * (-1 + x) + -4x2 * (-1 + x) + x3(-1 + x)]
fx = [-18 + 18x + 18i2 + -18i2x + 9i2x + -9i2x2 + (-1 * -3x + x * -3x) + -4x2 * (-1 + x) + x3(-1 + x)]
fx = [-18 + 18x + 18i2 + -18i2x + 9i2x + -9i2x2 + (3x + -3x2) + -4x2 * (-1 + x) + x3(-1 + x)]
fx = [-18 + 18x + 18i2 + -18i2x + 9i2x + -9i2x2 + 3x + -3x2 + (-1 * -4x2 + x * -4x2) + x3(-1 + x)]
fx = [-18 + 18x + 18i2 + -18i2x + 9i2x + -9i2x2 + 3x + -3x2 + (4x2 + -4x3) + x3(-1 + x)]
fx = [-18 + 18x + 18i2 + -18i2x + 9i2x + -9i2x2 + 3x + -3x2 + 4x2 + -4x3 + (-1 * x3 + x * x3)]
fx = [-18 + 18x + 18i2 + -18i2x + 9i2x + -9i2x2 + 3x + -3x2 + 4x2 + -4x3 + (-1x3 + x4)]

Reorder the terms:
fx = [-18 + 18i2 + -18i2x + 9i2x + -9i2x2 + 18x + 3x + -3x2 + 4x2 + -4x3 + -1x3 + x4]

Combine like terms: -18i2x + 9i2x = -9i2x
fx = [-18 + 18i2 + -9i2x + -9i2x2 + 18x + 3x + -3x2 + 4x2 + -4x3 + -1x3 + x4]

Combine like terms: 18x + 3x = 21x
fx = [-18 + 18i2 + -9i2x + -9i2x2 + 21x + -3x2 + 4x2 + -4x3 + -1x3 + x4]

Combine like terms: -3x2 + 4x2 = 1x2
fx = [-18 + 18i2 + -9i2x + -9i2x2 + 21x + 1x2 + -4x3 + -1x3 + x4]

Combine like terms: -4x3 + -1x3 = -5x3
fx = [-18 + 18i2 + -9i2x + -9i2x2 + 21x + 1x2 + -5x3 + x4]

Solving
fx = -18 + 18i2 + -9i2x + -9i2x2 + 21x + 1x2 + -5x3 + x4

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -18x-1 + 18i2x-1 + -9i2 + -9i2x + 21 + x + -5x2 + x3

Simplifying
f = -18x-1 + 18i2x-1 + -9i2 + -9i2x + 21 + x + -5x2 + x3

Reorder the terms:
f = 21 + -9i2 + 18i2x-1 + -9i2x + -18x-1 + x + -5x2 + x3

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