Would someone please explain how to find the inflection point, y"=0, of the equation y"= -2[4x^3-15x^2+12x-5]/(1-x^2)^3 without a graphing calculator, please?

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\[-2[4x^3 -15x^2 + 12x - 5] = 0\]
\[4x^3 - 15x^2 + 12x -5 = 0\]
Then solve it from there

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