p(x)=(x-(2-3i))(x-(2+3i))

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Solution for p(x)=(x-(2-3i))(x-(2+3i)) equation: 


Simplifying
p(x) = (x + -1(2 + -3i))(x + -1(2 + 3i))

Multiply p * x
px = (x + -1(2 + -3i))(x + -1(2 + 3i))
px = (x + (2 * -1 + -3i * -1))(x + -1(2 + 3i))
px = (x + (-2 + 3i))(x + -1(2 + 3i))

Reorder the terms:
px = (-2 + 3i + x)(x + -1(2 + 3i))
px = (-2 + 3i + x)(x + (2 * -1 + 3i * -1))
px = (-2 + 3i + x)(x + (-2 + -3i))

Reorder the terms:
px = (-2 + 3i + x)(-2 + -3i + x)

Multiply (-2 + 3i + x) * (-2 + -3i + x)
px = (-2(-2 + -3i + x) + 3i * (-2 + -3i + x) + x(-2 + -3i + x))
px = ((-2 * -2 + -3i * -2 + x * -2) + 3i * (-2 + -3i + x) + x(-2 + -3i + x))
px = ((4 + 6i + -2x) + 3i * (-2 + -3i + x) + x(-2 + -3i + x))
px = (4 + 6i + -2x + (-2 * 3i + -3i * 3i + x * 3i) + x(-2 + -3i + x))

Reorder the terms:
px = (4 + 6i + -2x + (-6i + 3ix + -9i2) + x(-2 + -3i + x))
px = (4 + 6i + -2x + (-6i + 3ix + -9i2) + x(-2 + -3i + x))
px = (4 + 6i + -2x + -6i + 3ix + -9i2 + (-2 * x + -3i * x + x * x))

Reorder the terms:
px = (4 + 6i + -2x + -6i + 3ix + -9i2 + (-3ix + -2x + x2))
px = (4 + 6i + -2x + -6i + 3ix + -9i2 + (-3ix + -2x + x2))

Reorder the terms:
px = (4 + 6i + -6i + 3ix + -3ix + -9i2 + -2x + -2x + x2)

Combine like terms: 6i + -6i = 0
px = (4 + 0 + 3ix + -3ix + -9i2 + -2x + -2x + x2)
px = (4 + 3ix + -3ix + -9i2 + -2x + -2x + x2)

Combine like terms: 3ix + -3ix = 0
px = (4 + 0 + -9i2 + -2x + -2x + x2)
px = (4 + -9i2 + -2x + -2x + x2)

Combine like terms: -2x + -2x = -4x
px = (4 + -9i2 + -4x + x2)

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

Solving for variable 'p'.

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

Divide each side by 'x'.
p = 4x-1 + -9i2x-1 + -4 + x

Simplifying
p = 4x-1 + -9i2x-1 + -4 + x

Reorder the terms:
p = -4 + -9i2x-1 + 4x-1 + x

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