What is the solution of the cubic equation 8x^3 + 12x^2 + 8x = 0

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The solution of `8x^3 + 12x^2 + 8x = 0` has to be determined.

`8x^3 + 12x^2 + 8x = 0`

= `4x(2x^2 + 3x + 2) = 0`

`4x = 0 => x = 0`

`2x^2 + 3x + 2 = 0`

=> `x = (-3 +-sqrt(9 - 16))/4`

=> `x = -3/4 +- i*sqrt7/4`

The solution of the cubic equation is `{0, -3/4 - i*sqrt7/4, -3/4 + i*sqrt7/4}`

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