2x^3/5=x^5/30

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Solution for 2x^3/5=x^5/30 equation:


x in (-oo:+oo)

(2*x^3)/5 = (x^5)/30 // - (x^5)/30

(2*x^3)/5-((x^5)/30) = 0

2/5*x^3-1/30*x^5 = 0

1/5*x^3*(2-1/6*x^2) = 0

-1/6*x^2 = -2 // : -1/6

x^2 = 12

x^2 = 12 // ^ 1/2

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

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

(x^3)/5 = 0

1/5*x^3 = 0 // : 1/5

x^3 = 0

x = 0

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

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