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

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


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

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

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

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

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

Reorder the terms:
y = [1 + -2i + -1x + [2i + -2ix + -4i2] + x[-1 + 2i + x]](-3 + x)
y = [1 + -2i + -1x + [2i + -2ix + -4i2] + x[-1 + 2i + x]](-3 + x)
y = [1 + -2i + -1x + 2i + -2ix + -4i2 + [-1 * x + 2i * x + x * x]](-3 + x)

Reorder the terms:
y = [1 + -2i + -1x + 2i + -2ix + -4i2 + [2ix + -1x + x2]](-3 + x)
y = [1 + -2i + -1x + 2i + -2ix + -4i2 + [2ix + -1x + x2]](-3 + x)

Reorder the terms:
y = [1 + -2i + 2i + -2ix + 2ix + -4i2 + -1x + -1x + x2](-3 + x)

Combine like terms: -2i + 2i = 0
y = [1 + 0 + -2ix + 2ix + -4i2 + -1x + -1x + x2](-3 + x)
y = [1 + -2ix + 2ix + -4i2 + -1x + -1x + x2](-3 + x)

Combine like terms: -2ix + 2ix = 0
y = [1 + 0 + -4i2 + -1x + -1x + x2](-3 + x)
y = [1 + -4i2 + -1x + -1x + x2](-3 + x)

Combine like terms: -1x + -1x = -2x
y = [1 + -4i2 + -2x + x2](-3 + x)

Multiply [1 + -4i2 + -2x + x2] * (-3 + x)
y = [1(-3 + x) + -4i2 * (-3 + x) + -2x * (-3 + x) + x2(-3 + x)]
y = [(-3 * 1 + x * 1) + -4i2 * (-3 + x) + -2x * (-3 + x) + x2(-3 + x)]
y = [(-3 + 1x) + -4i2 * (-3 + x) + -2x * (-3 + x) + x2(-3 + x)]
y = [-3 + 1x + (-3 * -4i2 + x * -4i2) + -2x * (-3 + x) + x2(-3 + x)]
y = [-3 + 1x + (12i2 + -4i2x) + -2x * (-3 + x) + x2(-3 + x)]
y = [-3 + 1x + 12i2 + -4i2x + (-3 * -2x + x * -2x) + x2(-3 + x)]
y = [-3 + 1x + 12i2 + -4i2x + (6x + -2x2) + x2(-3 + x)]
y = [-3 + 1x + 12i2 + -4i2x + 6x + -2x2 + (-3 * x2 + x * x2)]
y = [-3 + 1x + 12i2 + -4i2x + 6x + -2x2 + (-3x2 + x3)]

Reorder the terms:
y = [-3 + 12i2 + -4i2x + 1x + 6x + -2x2 + -3x2 + x3]

Combine like terms: 1x + 6x = 7x
y = [-3 + 12i2 + -4i2x + 7x + -2x2 + -3x2 + x3]

Combine like terms: -2x2 + -3x2 = -5x2
y = [-3 + 12i2 + -4i2x + 7x + -5x2 + x3]

Solving
y = -3 + 12i2 + -4i2x + 7x + -5x2 + x3

Solving for variable 'y'.

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

Simplifying
y = -3 + 12i2 + -4i2x + 7x + -5x2 + x3

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