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

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


Simplifying
x3 + -2ix2 + 3x = 0

Reorder the terms:
-2ix2 + 3x + x3 = 0

Solving
-2ix2 + 3x + x3 = 0

Solving for variable 'i'.

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

Add '-3x' to each side of the equation.
-2ix2 + 3x + -3x + x3 = 0 + -3x

Combine like terms: 3x + -3x = 0
-2ix2 + 0 + x3 = 0 + -3x
-2ix2 + x3 = 0 + -3x
Remove the zero:
-2ix2 + x3 = -3x

Add '-1x3' to each side of the equation.
-2ix2 + x3 + -1x3 = -3x + -1x3

Combine like terms: x3 + -1x3 = 0
-2ix2 + 0 = -3x + -1x3
-2ix2 = -3x + -1x3

Divide each side by '-2x2'.
i = 1.5x-1 + 0.5x

Simplifying
i = 1.5x-1 + 0.5x

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