(8x^3-12x)e^(-x^2/2)

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Solution for (8x^3-12x)e^(-x^2/2) equation: 


x in (-oo:+oo)

(8*x^3-(12*x))*e^(((-x)^2)/2) = 0

(8*x^3-12*x)*e^(((-x)^2)/2) = 0

8*x^3-(12*x) = 0

8*x^3-12*x = 0

8*x^3-12*x = 0

4*x*(2*x^2-3) = 0

2*x^2 = 3 // : 2

x^2 = 3/2

x^2 = 3/2 // ^ 1/2

abs(x) = (3/2)^(1/2)

x = (3/2)^(1/2) or x = -(3/2)^(1/2)

4*x = 0

4*x = 0 // : 4

x = 0

e^(((-x)^2)/2) = 0

x należy do O

(8*x^3-(12*x))*e^(((-x)^2)/2) = 0  <=>  8*x^3-(12*x) = 0 or (8*x^3-(12*x))*e^(((-x)^2)/2) = 0  <=>  e^(((-x)^2)/2) = 0

x in { (3/2)^(1/2), -(3/2)^(1/2), 0 }

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