3x^3/4=x^1/2

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Solution for 3x^3/4=x^1/2 equation: 


x in (-oo:+oo)

(3*x^3)/4 = (x^1)/2 // - (x^1)/2

(3*x^3)/4-((x^1)/2) = 0

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

3/4*x^3-1/2*x = 0

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

3/2*x^2 = 1 // : 3/2

x^2 = 2/3

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

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

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

x/2 = 0

1/2*x = 0 // : 1/2

x = 0

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

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