0.5=0.75x^2-t^3/3

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Solution for 0.5=0.75x^2-t^3/3 equation: 


x in (-oo:+oo)

0.5 = 0.75*x^2-((t^3)/3) // - 0.75*x^2-((t^3)/3)

(t^3)/3-(0.75*x^2)+0.5 = 0

(t^3)/3-0.75*x^2+0.5 = 0

-0.75*x^2 = -(1/3*t^3+0.5) // : -0.75

x^2 = 1.33333333*(1/3*t^3+0.5)

x^2 = 1.33333333*(1/3*t^3+0.5) // ^ 1/2

abs(x) = 1.33333333^(1/2)*(1/3*t^3+0.5)^(1/2)

x = 1.33333333^(1/2)*(1/3*t^3+0.5)^(1/2) or x = -(1.33333333^(1/2)*(1/3*t^3+0.5)^(1/2))

x in { 1.33333333^(1/2)*(1/3*t^3+0.5)^(1/2), -(1.33333333^(1/2)*(1/3*t^3+0.5)^(1/2)) }

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