(X^2/2x)-(3x/4x^2)

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Solution for (X^2/2x)-(3x/4x^2) equation: 


x in (-oo:+oo)

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

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

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

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

-3/2*x^2 = -X^2 // : -3/2

x^2 = 2/3*X^2

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

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

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

x/2 = 0

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

x = 0

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

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