x*3=-24/x^2

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Solution for x*3=-24/x^2 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

3*x = -24/(x^2) // + -24/(x^2)

3*x-(-24/(x^2)) = 0

3*x+24*x^-2 = 0

3*x^1+24*x^-2 = 0

(3*x^3+24*x^0)/(x^2) = 0 // * x^4

x^2*(3*x^3+24*x^0) = 0

x^2

3*x^3+24 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 8, -8, 12, -12, 24, -24 }

1

x = 1

3*x^3+24 = 27

1

-1

x = -1

3*x^3+24 = 21

-1

2

x = 2

3*x^3+24 = 48

2

-2

x = -2

3*x^3+24 = 0

-2

x+2

3*x^2-6*x+12

3*x^3+24

x+2

-3*x^3-6*x^2

24-6*x^2

6*x^2+12*x

12*x+24

-12*x-24

0

3*x^2-6*x+12 = 0

DELTA = (-6)^2-(3*4*12)

DELTA = -108

DELTA < 0

x in { -2}

x = -2

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