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

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


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

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

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

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

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

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

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

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

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

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

Solving
y = 1 + -4i2 + 2x + x2

Solving for variable 'y'.

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

Simplifying
y = 1 + -4i2 + 2x + x2

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