1/2(5x^3-3x)

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Solution for 1/2(5x^3-3x) equation:


x in (-oo:+oo)

(1/2)*(5*x^3-(3*x)) = 0

(1/2)*(5*x^3-3*x) = 0

1/2*(5*x^3-3*x) = 0

5*x^3-3*x = 0

x*(5*x^2-3) = 0

5*x^2 = 3 // : 5

x^2 = 3/5

x^2 = 3/5 // ^ 1/2

abs(x) = (3/5)^(1/2)

x = (3/5)^(1/2) or x = -(3/5)^(1/2)

x*(x-(3/5)^(1/2))*(x+(3/5)^(1/2)) = 0

1/2*x*(x-(3/5)^(1/2))*(x+(3/5)^(1/2)) = 0

( x+(3/5)^(1/2) )

x+(3/5)^(1/2) = 0 // - (3/5)^(1/2)

x = -(3/5)^(1/2)

( x-(3/5)^(1/2) )

x-(3/5)^(1/2) = 0 // + (3/5)^(1/2)

x = (3/5)^(1/2)

( x )

x = 0

x in { -(3/5)^(1/2), (3/5)^(1/2), 0 }

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