Y=[X-(5-3i)][x-(5+3i)]

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Solution for Y=[X-(5-3i)][x-(5+3i)] equation: 


Simplifying
Y = [X + -1(5 + -3i)][x + -1(5 + 3i)]
Y = [X + (5 * -1 + -3i * -1)][x + -1(5 + 3i)]
Y = [X + (-5 + 3i)][x + -1(5 + 3i)]

Reorder the terms:
Y = [-5 + X + 3i][x + -1(5 + 3i)]
Y = [-5 + X + 3i][x + (5 * -1 + 3i * -1)]
Y = [-5 + X + 3i][x + (-5 + -3i)]

Reorder the terms:
Y = [-5 + X + 3i][-5 + -3i + x]

Multiply [-5 + X + 3i] * [-5 + -3i + x]
Y = [-5[-5 + -3i + x] + X[-5 + -3i + x] + 3i * [-5 + -3i + x]]
Y = [[-5 * -5 + -3i * -5 + x * -5] + X[-5 + -3i + x] + 3i * [-5 + -3i + x]]
Y = [[25 + 15i + -5x] + X[-5 + -3i + x] + 3i * [-5 + -3i + x]]
Y = [25 + 15i + -5x + [-5 * X + -3i * X + x * X] + 3i * [-5 + -3i + x]]
Y = [25 + 15i + -5x + [-5X + -3iX + xX] + 3i * [-5 + -3i + x]]
Y = [25 + 15i + -5x + -5X + -3iX + xX + [-5 * 3i + -3i * 3i + x * 3i]]

Reorder the terms:
Y = [25 + 15i + -5x + -5X + -3iX + xX + [-15i + 3ix + -9i2]]
Y = [25 + 15i + -5x + -5X + -3iX + xX + [-15i + 3ix + -9i2]]

Reorder the terms:
Y = [25 + -5X + 15i + -15i + -3iX + 3ix + -9i2 + -5x + xX]

Combine like terms: 15i + -15i = 0
Y = [25 + -5X + 0 + -3iX + 3ix + -9i2 + -5x + xX]
Y = [25 + -5X + -3iX + 3ix + -9i2 + -5x + xX]

Solving
Y = 25 + -5X + -3iX + 3ix + -9i2 + -5x + xX

Solving for variable 'Y'.

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

Simplifying
Y = 25 + -5X + -3iX + 3ix + -9i2 + -5x + xX

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