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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