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

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


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

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

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

Multiply [-3 + -1i + x] * [-3 + 1i + x]
y = [-3[-3 + 1i + x] + -1i * [-3 + 1i + x] + x[-3 + 1i + x]]
y = [[-3 * -3 + 1i * -3 + x * -3] + -1i * [-3 + 1i + x] + x[-3 + 1i + x]]
y = [[9 + -3i + -3x] + -1i * [-3 + 1i + x] + x[-3 + 1i + x]]
y = [9 + -3i + -3x + [-3 * -1i + 1i * -1i + x * -1i] + x[-3 + 1i + x]]

Reorder the terms:
y = [9 + -3i + -3x + [3i + -1ix + -1i2] + x[-3 + 1i + x]]
y = [9 + -3i + -3x + [3i + -1ix + -1i2] + x[-3 + 1i + x]]
y = [9 + -3i + -3x + 3i + -1ix + -1i2 + [-3 * x + 1i * x + x * x]]

Reorder the terms:
y = [9 + -3i + -3x + 3i + -1ix + -1i2 + [1ix + -3x + x2]]
y = [9 + -3i + -3x + 3i + -1ix + -1i2 + [1ix + -3x + x2]]

Reorder the terms:
y = [9 + -3i + 3i + -1ix + 1ix + -1i2 + -3x + -3x + x2]

Combine like terms: -3i + 3i = 0
y = [9 + 0 + -1ix + 1ix + -1i2 + -3x + -3x + x2]
y = [9 + -1ix + 1ix + -1i2 + -3x + -3x + x2]

Combine like terms: -1ix + 1ix = 0
y = [9 + 0 + -1i2 + -3x + -3x + x2]
y = [9 + -1i2 + -3x + -3x + x2]

Combine like terms: -3x + -3x = -6x
y = [9 + -1i2 + -6x + x2]

Solving
y = 9 + -1i2 + -6x + x2

Solving for variable 'y'.

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

Simplifying
y = 9 + -1i2 + -6x + x2

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