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

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


Simplifying
z3 + iz2 + 2z = 0

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

Solving
iz2 + 2z + z3 = 0

Solving for variable 'i'.

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

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

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

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

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

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

Simplifying
i = -2z-1 + -1z

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