(z-3i)(z^2-3iz-2)=P(z)

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Solution for (z-3i)(z^2-3iz-2)=P(z) equation:


Simplifying
(z + -3i)(z2 + -3iz + -2) = P(z)

Reorder the terms:
(-3i + z)(z2 + -3iz + -2) = P(z)

Reorder the terms:
(-3i + z)(-2 + -3iz + z2) = P(z)

Multiply (-3i + z) * (-2 + -3iz + z2)
(-3i * (-2 + -3iz + z2) + z(-2 + -3iz + z2)) = P(z)
((-2 * -3i + -3iz * -3i + z2 * -3i) + z(-2 + -3iz + z2)) = P(z)

Reorder the terms:
((6i + -3iz2 + 9i2z) + z(-2 + -3iz + z2)) = P(z)
((6i + -3iz2 + 9i2z) + z(-2 + -3iz + z2)) = P(z)
(6i + -3iz2 + 9i2z + (-2 * z + -3iz * z + z2 * z)) = P(z)

Reorder the terms:
(6i + -3iz2 + 9i2z + (-3iz2 + -2z + z3)) = P(z)
(6i + -3iz2 + 9i2z + (-3iz2 + -2z + z3)) = P(z)

Reorder the terms:
(6i + -3iz2 + -3iz2 + 9i2z + -2z + z3) = P(z)

Combine like terms: -3iz2 + -3iz2 = -6iz2
(6i + -6iz2 + 9i2z + -2z + z3) = P(z)

Multiply P * z
6i + -6iz2 + 9i2z + -2z + z3 = zP

Solving
6i + -6iz2 + 9i2z + -2z + z3 = zP

Solving for variable 'i'.

Reorder the terms:
6i + -6iz2 + 9i2z + -2z + -1zP + z3 = zP + -1zP

Combine like terms: zP + -1zP = 0
6i + -6iz2 + 9i2z + -2z + -1zP + z3 = 0

The solution to this equation could not be determined.

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