y=[x-(-6-3i)][x-(-6+3i)]

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Solution for y=[x-(-6-3i)][x-(-6+3i)] equation:


Simplifying
y = [x + -1(-6 + -3i)][x + -1(-6 + 3i)]
y = [x + (-6 * -1 + -3i * -1)][x + -1(-6 + 3i)]
y = [x + (6 + 3i)][x + -1(-6 + 3i)]

Reorder the terms:
y = [6 + 3i + x][x + -1(-6 + 3i)]
y = [6 + 3i + x][x + (-6 * -1 + 3i * -1)]
y = [6 + 3i + x][x + (6 + -3i)]

Reorder the terms:
y = [6 + 3i + x][6 + -3i + x]

Multiply [6 + 3i + x] * [6 + -3i + x]
y = [6[6 + -3i + x] + 3i * [6 + -3i + x] + x[6 + -3i + x]]
y = [[6 * 6 + -3i * 6 + x * 6] + 3i * [6 + -3i + x] + x[6 + -3i + x]]
y = [[36 + -18i + 6x] + 3i * [6 + -3i + x] + x[6 + -3i + x]]
y = [36 + -18i + 6x + [6 * 3i + -3i * 3i + x * 3i] + x[6 + -3i + x]]

Reorder the terms:
y = [36 + -18i + 6x + [18i + 3ix + -9i2] + x[6 + -3i + x]]
y = [36 + -18i + 6x + [18i + 3ix + -9i2] + x[6 + -3i + x]]
y = [36 + -18i + 6x + 18i + 3ix + -9i2 + [6 * x + -3i * x + x * x]]

Reorder the terms:
y = [36 + -18i + 6x + 18i + 3ix + -9i2 + [-3ix + 6x + x2]]
y = [36 + -18i + 6x + 18i + 3ix + -9i2 + [-3ix + 6x + x2]]

Reorder the terms:
y = [36 + -18i + 18i + 3ix + -3ix + -9i2 + 6x + 6x + x2]

Combine like terms: -18i + 18i = 0
y = [36 + 0 + 3ix + -3ix + -9i2 + 6x + 6x + x2]
y = [36 + 3ix + -3ix + -9i2 + 6x + 6x + x2]

Combine like terms: 3ix + -3ix = 0
y = [36 + 0 + -9i2 + 6x + 6x + x2]
y = [36 + -9i2 + 6x + 6x + x2]

Combine like terms: 6x + 6x = 12x
y = [36 + -9i2 + 12x + x2]

Solving
y = 36 + -9i2 + 12x + x2

Solving for variable 'y'.

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

Simplifying
y = 36 + -9i2 + 12x + x2

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