z(z-1)(z+3)=11+3i

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Solution for z(z-1)(z+3)=11+3i equation:


Simplifying
z(z + -1)(z + 3) = 11 + 3i

Reorder the terms:
z(-1 + z)(z + 3) = 11 + 3i

Reorder the terms:
z(-1 + z)(3 + z) = 11 + 3i

Multiply (-1 + z) * (3 + z)
z(-1(3 + z) + z(3 + z)) = 11 + 3i
z((3 * -1 + z * -1) + z(3 + z)) = 11 + 3i
z((-3 + -1z) + z(3 + z)) = 11 + 3i
z(-3 + -1z + (3 * z + z * z)) = 11 + 3i
z(-3 + -1z + (3z + z2)) = 11 + 3i

Combine like terms: -1z + 3z = 2z
z(-3 + 2z + z2) = 11 + 3i
(-3 * z + 2z * z + z2 * z) = 11 + 3i
(-3z + 2z2 + z3) = 11 + 3i

Solving
-3z + 2z2 + z3 = 11 + 3i

Solving for variable 'z'.

Reorder the terms:
-11 + -3i + -3z + 2z2 + z3 = 11 + 3i + -11 + -3i

Reorder the terms:
-11 + -3i + -3z + 2z2 + z3 = 11 + -11 + 3i + -3i

Combine like terms: 11 + -11 = 0
-11 + -3i + -3z + 2z2 + z3 = 0 + 3i + -3i
-11 + -3i + -3z + 2z2 + z3 = 3i + -3i

Combine like terms: 3i + -3i = 0
-11 + -3i + -3z + 2z2 + z3 = 0

The solution to this equation could not be determined.

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