(z^3+5z^2-iz+3)(1+i)z-2=

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Solution for (z^3+5z^2-iz+3)(1+i)z-2= equation: 


Simplifying
(z3 + 5z2 + -1iz + 3)(1 + i) * z + -2 = 0

Reorder the terms:
(3 + -1iz + 5z2 + z3)(1 + i) * z + -2 = 0

Reorder the terms for easier multiplication:
z(3 + -1iz + 5z2 + z3)(1 + i) + -2 = 0

Multiply (3 + -1iz + 5z2 + z3) * (1 + i)
z(3(1 + i) + -1iz * (1 + i) + 5z2 * (1 + i) + z3(1 + i)) + -2 = 0
z((1 * 3 + i * 3) + -1iz * (1 + i) + 5z2 * (1 + i) + z3(1 + i)) + -2 = 0
z((3 + 3i) + -1iz * (1 + i) + 5z2 * (1 + i) + z3(1 + i)) + -2 = 0
z(3 + 3i + (1 * -1iz + i * -1iz) + 5z2 * (1 + i) + z3(1 + i)) + -2 = 0
z(3 + 3i + (-1iz + -1i2z) + 5z2 * (1 + i) + z3(1 + i)) + -2 = 0
z(3 + 3i + -1iz + -1i2z + (1 * 5z2 + i * 5z2) + z3(1 + i)) + -2 = 0

Reorder the terms:
z(3 + 3i + -1iz + -1i2z + (5iz2 + 5z2) + z3(1 + i)) + -2 = 0
z(3 + 3i + -1iz + -1i2z + (5iz2 + 5z2) + z3(1 + i)) + -2 = 0
z(3 + 3i + -1iz + -1i2z + 5iz2 + 5z2 + (1 * z3 + i * z3)) + -2 = 0

Reorder the terms:
z(3 + 3i + -1iz + -1i2z + 5iz2 + 5z2 + (iz3 + 1z3)) + -2 = 0
z(3 + 3i + -1iz + -1i2z + 5iz2 + 5z2 + (iz3 + 1z3)) + -2 = 0

Reorder the terms:
z(3 + 3i + -1iz + 5iz2 + iz3 + -1i2z + 5z2 + 1z3) + -2 = 0
z(3 + 3i + -1iz + 5iz2 + iz3 + -1i2z + 5z2 + 1z3) + -2 = 0
(3 * z + 3i * z + -1iz * z + 5iz2 * z + iz3 * z + -1i2z * z + 5z2 * z + 1z3 * z) + -2 = 0

Reorder the terms:
(3iz + -1iz2 + 5iz3 + iz4 + -1i2z2 + 3z + 5z3 + 1z4) + -2 = 0
(3iz + -1iz2 + 5iz3 + iz4 + -1i2z2 + 3z + 5z3 + 1z4) + -2 = 0

Reorder the terms:
-2 + 3iz + -1iz2 + 5iz3 + iz4 + -1i2z2 + 3z + 5z3 + 1z4 = 0

Solving
-2 + 3iz + -1iz2 + 5iz3 + iz4 + -1i2z2 + 3z + 5z3 + 1z4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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