z^3+2iz^2+z=0

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Solution for z^3+2iz^2+z=0 equation:


Simplifying
z3 + 2iz2 + z = 0

Reorder the terms:
2iz2 + z + z3 = 0

Solving
2iz2 + z + z3 = 0

Solving for variable 'i'.

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

Add '-1z' to each side of the equation.
2iz2 + z + -1z + z3 = 0 + -1z

Combine like terms: z + -1z = 0
2iz2 + 0 + z3 = 0 + -1z
2iz2 + z3 = 0 + -1z
Remove the zero:
2iz2 + z3 = -1z

Add '-1z3' to each side of the equation.
2iz2 + z3 + -1z3 = -1z + -1z3

Combine like terms: z3 + -1z3 = 0
2iz2 + 0 = -1z + -1z3
2iz2 = -1z + -1z3

Divide each side by '2z2'.
i = -0.5z-1 + -0.5z

Simplifying
i = -0.5z-1 + -0.5z

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