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

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


Simplifying
(3 + i)(1 + -2i) * z3 = -5 + -5i

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

Multiply (3 + i) * (1 + -2i)
z3(3(1 + -2i) + i(1 + -2i)) = -5 + -5i
z3((1 * 3 + -2i * 3) + i(1 + -2i)) = -5 + -5i
z3((3 + -6i) + i(1 + -2i)) = -5 + -5i
z3(3 + -6i + (1 * i + -2i * i)) = -5 + -5i
z3(3 + -6i + (1i + -2i2)) = -5 + -5i

Combine like terms: -6i + 1i = -5i
z3(3 + -5i + -2i2) = -5 + -5i
(3 * z3 + -5i * z3 + -2i2 * z3) = -5 + -5i

Reorder the terms:
(-5iz3 + -2i2z3 + 3z3) = -5 + -5i
(-5iz3 + -2i2z3 + 3z3) = -5 + -5i

Solving
-5iz3 + -2i2z3 + 3z3 = -5 + -5i

Solving for variable 'i'.

Reorder the terms:
5 + 5i + -5iz3 + -2i2z3 + 3z3 = -5 + -5i + 5 + 5i

Reorder the terms:
5 + 5i + -5iz3 + -2i2z3 + 3z3 = -5 + 5 + -5i + 5i

Combine like terms: -5 + 5 = 0
5 + 5i + -5iz3 + -2i2z3 + 3z3 = 0 + -5i + 5i
5 + 5i + -5iz3 + -2i2z3 + 3z3 = -5i + 5i

Combine like terms: -5i + 5i = 0
5 + 5i + -5iz3 + -2i2z3 + 3z3 = 0

The solution to this equation could not be determined.

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