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

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


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

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

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

Multiply [2 + -3i + x] * [2 + 3i + x]
y = [2[2 + 3i + x] + -3i * [2 + 3i + x] + x[2 + 3i + x]]
y = [[2 * 2 + 3i * 2 + x * 2] + -3i * [2 + 3i + x] + x[2 + 3i + x]]
y = [[4 + 6i + 2x] + -3i * [2 + 3i + x] + x[2 + 3i + x]]
y = [4 + 6i + 2x + [2 * -3i + 3i * -3i + x * -3i] + x[2 + 3i + x]]

Reorder the terms:
y = [4 + 6i + 2x + [-6i + -3ix + -9i2] + x[2 + 3i + x]]
y = [4 + 6i + 2x + [-6i + -3ix + -9i2] + x[2 + 3i + x]]
y = [4 + 6i + 2x + -6i + -3ix + -9i2 + [2 * x + 3i * x + x * x]]

Reorder the terms:
y = [4 + 6i + 2x + -6i + -3ix + -9i2 + [3ix + 2x + x2]]
y = [4 + 6i + 2x + -6i + -3ix + -9i2 + [3ix + 2x + x2]]

Reorder the terms:
y = [4 + 6i + -6i + -3ix + 3ix + -9i2 + 2x + 2x + x2]

Combine like terms: 6i + -6i = 0
y = [4 + 0 + -3ix + 3ix + -9i2 + 2x + 2x + x2]
y = [4 + -3ix + 3ix + -9i2 + 2x + 2x + x2]

Combine like terms: -3ix + 3ix = 0
y = [4 + 0 + -9i2 + 2x + 2x + x2]
y = [4 + -9i2 + 2x + 2x + x2]

Combine like terms: 2x + 2x = 4x
y = [4 + -9i2 + 4x + x2]

Solving
y = 4 + -9i2 + 4x + x2

Solving for variable 'y'.

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

Simplifying
y = 4 + -9i2 + 4x + x2

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