y=(x-(2+3j))(x-(2-3j))

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Solution for y=(x-(2+3j))(x-(2-3j)) equation:


Simplifying
y = (x + -1(2 + 3j))(x + -1(2 + -3j))
y = (x + (2 * -1 + 3j * -1))(x + -1(2 + -3j))
y = (x + (-2 + -3j))(x + -1(2 + -3j))

Reorder the terms:
y = (-2 + -3j + x)(x + -1(2 + -3j))
y = (-2 + -3j + x)(x + (2 * -1 + -3j * -1))
y = (-2 + -3j + x)(x + (-2 + 3j))

Reorder the terms:
y = (-2 + -3j + x)(-2 + 3j + x)

Multiply (-2 + -3j + x) * (-2 + 3j + x)
y = (-2(-2 + 3j + x) + -3j * (-2 + 3j + x) + x(-2 + 3j + x))
y = ((-2 * -2 + 3j * -2 + x * -2) + -3j * (-2 + 3j + x) + x(-2 + 3j + x))
y = ((4 + -6j + -2x) + -3j * (-2 + 3j + x) + x(-2 + 3j + x))
y = (4 + -6j + -2x + (-2 * -3j + 3j * -3j + x * -3j) + x(-2 + 3j + x))

Reorder the terms:
y = (4 + -6j + -2x + (6j + -3jx + -9j2) + x(-2 + 3j + x))
y = (4 + -6j + -2x + (6j + -3jx + -9j2) + x(-2 + 3j + x))
y = (4 + -6j + -2x + 6j + -3jx + -9j2 + (-2 * x + 3j * x + x * x))

Reorder the terms:
y = (4 + -6j + -2x + 6j + -3jx + -9j2 + (3jx + -2x + x2))
y = (4 + -6j + -2x + 6j + -3jx + -9j2 + (3jx + -2x + x2))

Reorder the terms:
y = (4 + -6j + 6j + -3jx + 3jx + -9j2 + -2x + -2x + x2)

Combine like terms: -6j + 6j = 0
y = (4 + 0 + -3jx + 3jx + -9j2 + -2x + -2x + x2)
y = (4 + -3jx + 3jx + -9j2 + -2x + -2x + x2)

Combine like terms: -3jx + 3jx = 0
y = (4 + 0 + -9j2 + -2x + -2x + x2)
y = (4 + -9j2 + -2x + -2x + x2)

Combine like terms: -2x + -2x = -4x
y = (4 + -9j2 + -4x + x2)

Solving
y = 4 + -9j2 + -4x + x2

Solving for variable 'y'.

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

Simplifying
y = 4 + -9j2 + -4x + x2

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