2z^3-3z^2+5i*z=0

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Solution for 2z^3-3z^2+5i*z=0 equation:


Simplifying
2z3 + -3z2 + 5i * z = 0

Multiply i * z
2z3 + -3z2 + 5iz = 0

Reorder the terms:
5iz + -3z2 + 2z3 = 0

Solving
5iz + -3z2 + 2z3 = 0

Solving for variable 'i'.

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

Add '3z2' to each side of the equation.
5iz + -3z2 + 3z2 + 2z3 = 0 + 3z2

Combine like terms: -3z2 + 3z2 = 0
5iz + 0 + 2z3 = 0 + 3z2
5iz + 2z3 = 0 + 3z2
Remove the zero:
5iz + 2z3 = 3z2

Add '-2z3' to each side of the equation.
5iz + 2z3 + -2z3 = 3z2 + -2z3

Combine like terms: 2z3 + -2z3 = 0
5iz + 0 = 3z2 + -2z3
5iz = 3z2 + -2z3

Divide each side by '5z'.
i = 0.6z + -0.4z2

Simplifying
i = 0.6z + -0.4z2

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