x^3+2ix^2+2x=0

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Solution for x^3+2ix^2+2x=0 equation:


Simplifying
x3 + 2ix2 + 2x = 0

Reorder the terms:
2ix2 + 2x + x3 = 0

Solving
2ix2 + 2x + x3 = 0

Solving for variable 'i'.

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

Add '-2x' to each side of the equation.
2ix2 + 2x + -2x + x3 = 0 + -2x

Combine like terms: 2x + -2x = 0
2ix2 + 0 + x3 = 0 + -2x
2ix2 + x3 = 0 + -2x
Remove the zero:
2ix2 + x3 = -2x

Add '-1x3' to each side of the equation.
2ix2 + x3 + -1x3 = -2x + -1x3

Combine like terms: x3 + -1x3 = 0
2ix2 + 0 = -2x + -1x3
2ix2 = -2x + -1x3

Divide each side by '2x2'.
i = -1x-1 + -0.5x

Simplifying
i = -1x-1 + -0.5x

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