z^2(3+3i)z+5i=0

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Solution for z^2(3+3i)z+5i=0 equation:


Simplifying
z2(3 + 3i) * z + 5i = 0

Reorder the terms for easier multiplication:
z2 * z(3 + 3i) + 5i = 0

Multiply z2 * z
z3(3 + 3i) + 5i = 0
(3 * z3 + 3i * z3) + 5i = 0

Reorder the terms:
(3iz3 + 3z3) + 5i = 0
(3iz3 + 3z3) + 5i = 0

Reorder the terms:
5i + 3iz3 + 3z3 = 0

Solving
5i + 3iz3 + 3z3 = 0

Solving for variable 'i'.

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

Add '-3z3' to each side of the equation.
5i + 3iz3 + 3z3 + -3z3 = 0 + -3z3

Combine like terms: 3z3 + -3z3 = 0
5i + 3iz3 + 0 = 0 + -3z3
5i + 3iz3 = 0 + -3z3
Remove the zero:
5i + 3iz3 = -3z3

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

The solution to this equation could not be determined.

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